What is an Electrical Fault?

An electrical circuit is a closed loop that allows electric current to flow through conductors, power sources, and loads. Circuits connect electrical devices, enable energy transfer, and ensure safe operation in homes, industries, and power systems.

What is an Electrical Circuit?

An electrical circuit is a path through which electricity flows from a power source to one or more devices that are connected.

✅ Provides controlled current flow through conductors

✅ Powers electrical devices safely and efficiently

✅ Includes sources, loads, and protective components

Gaining a grasp of the basic electricity of electrical circuits, including series and parallel configurations, voltage, current, resistance, Ohm's Law, and circuit analysis techniques, is vital for anyone interested in electronics, electrical engineering, or the inner workings of modern technology.

Core Components & Function

In order to understand what an electrical circuit is, one must appreciate that, 

At its core, an electrical circuit is a closed loop or pathway that facilitates the flow of electric current. This concept is essential in electronics and electrical engineering, as it provides the basis for the operation of everyday items, including smartphones, computers, and home appliances.

Within an electrical circuit, components are connected via conductive materials, such as wires, which enable the movement of electrons from a power source to other components and back.

The primary components of an electrical circuit include a power source (e.g., a battery or power supply unit), conductive materials (typically wires), a load (such as a resistor, motor, or light bulb), and a control element (for example, a switch). The power source supplies the voltage necessary for electric current flow, while the load transforms electrical energy into other forms, such as light or heat. Meanwhile, the control element permits the user to initiate or halt the flow of electrons, effectively turning a device on or off.

• For students, a simple example is a battery connected to an LED, which demonstrates how electricity creates light.

• For professionals, an industrial motor powered by a control circuit shows how electrical energy drives large-scale equipment.

Circuit Types (Series vs. Parallel)

Electrical circuits can be classified into three main types: series, parallel, and combination circuits.

• Series circuits connect components end-to-end, allowing current to flow sequentially through each one. Example: holiday string lights, where a single bulb outage can disrupt the entire circuit.

• Parallel circuits enable current to flow through multiple paths. Example: household wiring, where turning off one light doesn’t affect others.

• Combination circuits mix both series and parallel configurations to handle more complex systems.

Fundamental Laws (Ohm’s Law, Kirchhoff’s Laws)

A fundamental understanding of voltage, current, and resistance is crucial for comprehending electrical circuit operations.

Voltage, the driving force that propels electric charge through a circuit, and current, the flow of electric charge measured in amperes (A), are closely related to resistance. Resistance, expressed in ohms (Ω), represents the opposition to the flow of current. These elements are interconnected through Ohm's law, which states that the voltage across a conductor is directly proportional to the current it carries and inversely proportional to its resistance: V = IR, where V represents voltage, I denotes current, and R represents resistance. Understanding how current creates magnetic fields is explained by Ampere's Law, which forms the basis for analyzing electromagnetism in electrical circuits.

Circuit analysis determines the current, voltage, and power associated with each component in an electrical circuit. Techniques such as Kirchhoff's Law of voltage and current, Thevenin's theorem, and Norton's theorem are employed to analyze and resolve electrical circuit issues. These methods enable engineers to design and troubleshoot electronic devices and systems effectively.

Thevenin's Theorem

Thevenin's theorem is a fundamental principle in electrical engineering and circuit analysis. It is a powerful technique to simplify complex linear circuits, making it easier to analyze and calculate the current, voltage, and power across specific components. The theorem is named after the French engineer Charles Léonard Siméon Thévenin, who proposed it in 1883.

Thevenin's theorem states that any linear, active, bilateral network containing voltage sources, current sources, and resistors can be replaced by an equivalent circuit consisting of a single voltage source (called Thevenin's voltage, Vth) in series with a single resistor (called Thevenin's resistance, Rth) connected to the terminals of the original circuit. This simplified circuit, known as the Thevenin equivalent circuit, can then be used to analyze the behaviour of the original circuit with a specific load connected to its terminals.

Steps to apply Thevenin’s theorem:

1. Identify the portion of the circuit you want to simplify and the terminals where the load will be connected.

2. Remove the load from the terminals (if present) and leave the terminals open-circuited.

3. Calculate the open-circuit voltage across the terminals. This value is Thevenin's voltage (Vth).

4. Calculate the equivalent resistance seen from the open-circuited terminals with all independent voltage sources replaced by short circuits (zero resistance) and all independent current sources replaced by open circuits (infinite resistance). This value is Thevenin's resistance (Rth).

5. Create the Thevenin equivalent circuit using the calculated Vth and Rth values, then connect the original load across the terminals.

Once the Thevenin equivalent circuit is determined, you can easily analyze the circuit's behaviour and calculate the current through the load, the voltage across the load, or even the power delivered to the load. This technique is particularly useful when analyzing circuits with varying loads or examining the circuit's behaviour at multiple points, as it simplifies calculations and saves time.

Norton’s Theorem

Norton's theorem is a fundamental principle in electrical engineering and circuit analysis that simplifies the analysis of complex linear circuits. Named after the American engineer Edward Lawry Norton, who introduced it in the early 20th century, the theorem is a counterpart to Thevenin's theorem.

While Thevenin's theorem reduces a complex network to an equivalent voltage source in series with a resistor, Norton's theorem simplifies the network to an equivalent current source parallel to a resistor.

Norton's theorem states that any linear, active, bilateral network containing voltage sources, current sources, and resistors can be replaced by an equivalent circuit consisting of a single current source (called Norton's current, IN) in parallel with a single resistor (called Norton's resistance, RN) connected to the terminals of the original circuit.

Steps to apply Norton’s theorem:

1. Identify the portion of the circuit you want to simplify and the terminals where the load will be connected.

2. Remove the load from the terminals (if present) and leave the terminals open-circuited.

3. Calculate the short-circuit current flowing between the terminals. This value is Norton's current (IN).

4. Calculate the equivalent resistance seen from the open-circuited terminals with all independent voltage sources replaced by short circuits (zero resistance) and all independent current sources replaced by open circuits (infinite resistance). This value is Norton's resistance (RN). Note that Norton's resistance is equal to Thevenin's, as both are calculated similarly.

5. Create the Norton equivalent circuit with the calculated IN and RN values, connecting the original load across the terminals.

Once the Norton equivalent circuit is established, you can easily analyze the circuit's behaviour and calculate the current through the load, the voltage across the load, or even the power delivered to the load. Like Thevenin's theorem, Norton's theorem is particularly useful when dealing with varying loads or analyzing a circuit's behaviour at multiple points. In addition, it simplifies calculations, conserving time and effort.

Circuit Diagrams & Symbols

Circuit diagrams, also known as schematic diagrams, are graphical representations of electrical circuits that utilize standardized symbols to depict components such as resistors, capacitors, inductors, diodes, and transistors. These symbols facilitate the interpretation of a circuit's structure and function by engineers or hobbyists without requiring physical examination of the actual components.

Here are some common symbols used in circuit diagrams:

Resistor: A simple zigzag line represents a resistor, which opposes the flow of electric current and dissipates energy in the form of heat.

Capacitor: Two parallel lines with a small gap represent a capacitor. The positive plate is marked with a "+" sign in polarized capacitors, and a curved line represents the negative plate.

Inductor: A series of curved or looped lines, similar to a coil, represents an inductor, which stores energy in a magnetic field and opposes changes in current.

Diode: A triangle pointing to a line represents a diode, which allows current to flow in one direction but blocks it in the opposite direction.

Light-emitting diode (LED): Similar to a diode symbol, but with two arrows pointing away from the triangle, representing light emission.

Transistor: Two types of transistors are commonly used: bipolar junction transistors (BJTs) and field-effect transistors (FETs). A BJT symbol comprises a circle or rectangle with three connected leads (emitter, base, and collector). FET symbols are represented by a combination of lines and a vertical arrow with three terminals (gate, source, and drain).

Integrated circuit (IC): A rectangular or square box with multiple leads connected represents an integrated circuit, a complex assembly of numerous electronic components within a single package.

Battery: Alternating long and short parallel lines represent a battery, a source of electrical energy.

Power supply: A circle with an arrow pointing upwards or a combination of letters, such as "Vcc" or "+V," represents a power supply, which provides a constant voltage or current.

Switch: A break in line with an angled line nearby or a pair of lines connected by a diagonal line represents a switch, which controls the flow of current by making or breaking a circuit.

Ground: A series of horizontal lines that decrease in length, a downward-pointing arrow, or the letters "GND" represent a ground connection, which serves as a reference point and provides a return path for electrical currents.

These are just a few examples of the many symbols used in circuit diagrams. Therefore, it's essential to familiarize yourself with these symbols to read or create schematic diagrams for electrical or electronic circuits. The ability of a circuit to store electrical charge is described by Capacitance, a key principle in both electronics and power systems.

Practical Applications & Examples

Electrical circuits form the foundation of modern technology, enabling us to harness electricity to operate a wide range of devices and systems. From smartphones and computers to household appliances and industrial machines, circuits power nearly every aspect of daily life.

For example, a simple battery connected to a light bulb demonstrates how a closed loop allows current to flow, converting electrical energy into light and heat. Safe return paths for current are established through the proper installation of Grounding Electrode Conductors, which helps prevent shock and equipment damage.

Frequently Asked Questions

What is the simplest electrical circuit?

The simplest circuit consists of a power source (such as a battery), a conductor (like a wire), and a load (like a bulb). Closing the loop lets current flow and power the load.

How do series and parallel circuits differ in real life?

Series circuits share a single path, so if one component fails, the entire circuit stops. Parallel circuits have multiple paths, allowing devices to operate independently.

Why is grounding important in electrical circuits?

Grounding provides a safe return path for electricity. It reduces shock hazards and prevents equipment damage during faults or surges.

What role does resistance play in a circuit?

Resistance controls the amount of current flowing. High resistance limits current, while low resistance allows more current to pass.

What is the function of a circuit breaker or fuse?

These protective devices interrupt the current when it becomes too high, preventing overheating, fires, and damage to equipment. To safeguard devices and wiring from excessive currents, engineers rely on Overcurrent Protection Device such as fuses and circuit breakers.

What is an electrical circuit? Why It Matters

Electrical circuits are the backbone of modern technology, powering everything from smartphones and appliances to industrial systems. A firm grasp of fundamental circuit principles is crucial for engineers, electricians, and hobbyists, as it unlocks a deeper understanding of the devices that shape everyday life.

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A busbar is a metallic strip or bar used in electrical systems to conduct electricity within switchgear, distribution panels, and substations. It distributes power efficiently and reduces resistance, enhancing safety and electrical performance.

What is a Busbar?

A busbar is a crucial electrical component used to conduct, distribute, and manage power in electrical systems. Found in commercial, industrial, and utility applications, it helps centralize connections and minimize wiring complexity.

✅ Provides efficient power distribution in electrical panels and substations

✅ Reduces resistance and improves system reliability

✅ Supports compact, organized electrical design for switchgear and distribution boards

A Busbar is an important component of electrical distribution systems, providing a central location for power to be distributed to multiple devices. It is an electrical conductor responsible for collecting electrical power from incoming feeders and distributing it to outgoing feeders. They are made of metal bars or metallic strips and have a large surface area to handle high currents.

How Does it Work?

It is a strip or bar made of copper, aluminum, or another conductive metal used to distribute electrical power in electrical systems. They have a large surface area to handle high currents, which reduces the current density and minimizes losses. They can be insulated or non-insulated, and they can be supported on insulators or wrapped in insulation. They are protected from accidental contact by either a metal earthed enclosure or elevation out of normal reach.

They collect electrical power from incoming feeders and distribute it to outgoing feeders. The bus bar system provides a common electrical junction for various types of electrical equipment, designed to handle high currents with minimal losses. They are often used in industrial applications, where they are installed in electrical panels or switchgear panels.

Different Types of Busbars

Different types of busbars are available on the market, including those made of copper or aluminum, as well as insulated or non-insulated, and segmented or solid busbars. Copper or brass busbars are used in low-voltage applications, while aluminum busbars are used in high-voltage applications. Insulated busbars are used in situations where accidental contact can occur, and segmented busbars are used to connect different types of equipment.

Busbars can also be classified based on their cross-section. A rectangular is the most common type and is often used in low-voltage applications. On the other hand, a tubular busbar is a hollow cylinder used in high-voltage applications. Finally, a circular one has a circular cross-section and is used in high-current applications.

Busbar Types and Characteristics

The Purpose of a Busbar in an Electrical System

The primary purpose of an electrical system is to distribute electrical power to different parts of the system. The busbar system collects electrical power from incoming feeders and distributes it to outgoing feeders. Busbars also provide a common electrical junction for different types of electrical equipment.

Busbar and Circuit Breakers

They are often used in conjunction with circuit breakers. Circuit breakers protect electrical circuits from damage caused by overload or short circuits. Additionally, they can be used to isolate the electrical supply in the event of a fault or overload. Circuit breakers are often installed in electrical or switchgear panels, which can be easily accessed and maintained.

Busbars and Electrical Distribution Equipment

They are an essential component of electrical distribution equipment, including electrical panels, switchgear panels, and distribution boards. Electrical panels distribute power to various parts of a building, while switchgear panels control the flow of electrical power in industrial applications. Distribution boards divide the electrical supply into separate circuits at a single location.

Busbar Installation

Installing a busbar involves several basic steps. First, the busbar system's design must be created, considering both the electrical load and the required current-carrying capacity. Then, it is installed in the electrical panel or switchgear panel. Finally, it is connected to the electrical equipment using either bolts, clamps, or welding.

Maintenance

Maintaining a busbar system involves regular inspections and cleaning. The system should be inspected for any damage or corrosion, and the connections should be tightened if they become loose. Regular cleaning of the system is also essential to prevent the buildup of dust or dirt, which can lead to a short circuit.

Safety Precautions

Working with busbars involves high voltage and current, so taking proper safety precautions is essential. The system must be isolated from the electrical system before any maintenance is performed. Personal protective equipment, such as gloves and safety glasses, should be worn while working with busbars. Working on a live system should only be done by trained personnel after ensuring that all necessary safety precautions are in place.

Accidents involving Busbars

Accidents can occur when working with busbars, and they can be dangerous if proper safety precautions are not taken. One common accident that can occur involves accidental contact with a live one. This can cause electrical shock, burns, and even death. Another accident involves short circuits, which can lead to equipment damage, fire, or explosions. These accidents can be prevented by following proper safety procedures and wearing personal protective equipment.

Arc flash accidents, including busbars, are a potential hazard when working with electrical equipment. An arc flash is an electrical explosion that can occur when a fault occurs in an electrical circuit, resulting in a short circuit or electrical discharge. Arc flash accidents can cause severe burns, hearing loss, and even death.

They can be a source of arc flash accidents if proper safety precautions are not taken. For example, if a live busbar comes into contact with an object, it can cause an arc flash. Proper insulation and guarding are necessary to prevent arc flash accidents involving busbars. They should also be installed in a way that minimizes the possibility of accidental contact.

Additionally, they should be designed to handle the expected current load, as overloading can lead to a fault and an arc flash. It is also essential to follow proper maintenance procedures, including regular system inspections and cleaning, to prevent damage or corrosion that can cause faults and arc flashes.

Overall, busbars are related to arc flash accidents as they can be a source of electrical faults that can lead to an arc flash. Therefore, following proper safety procedures, including proper insulation, guarding, and system maintenance, is crucial to prevent arc flash accidents.

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Alternating current (AC) is a type of electrical flow where the direction of current reverses periodically. Used in most homes and industries, AC is efficient for long-distance transmission and powers devices like motors, lights, and appliances through oscillating voltage.

What is Alternating Current?

Alternating current is a fundamental aspect of electrical systems that have shaped our world in countless ways. Its ability to be easily generated, converted to different voltages, and transmitted over long distances has made it the preferred choice for power transmission and distribution. Additionally, the many advantages of AC, such as compatibility with various devices and safety features, have made it indispensable in our daily lives.

✅ Powers homes, businesses, and industrial equipment through reliable energy transmission.

✅ Changes direction periodically, unlike DC, which flows one way.

✅ Enables long-distance energy delivery with reduced power loss.

To answer the question: What is alternating current? We need to first understand the role of a conductor, which is essential in AC systems, as conductors carry the oscillating electrical energy throughout circuits.

Understanding AC and DC

In the world of electricity, there are two primary forms of electric current: alternating current (AC) and direct current (DC). Understanding the distinctions between these two types of currents and their applications in daily life is essential to appreciate the advances in electrical engineering and the technology that surrounds us. A multimeter is commonly used to measure AC voltage and current in residential and industrial electrical systems.

AC vs. DC: Basic Differences

AC and DC are two distinct methods by which electric charge is transferred through a circuit. AC involves the flow of charge that periodically reverses direction, creating a waveform typically resembling a sine wave. On the other hand, DC refers to the flow of charge in a single, constant direction. The differences in their nature, functionality, and applications create a contrasting landscape in the electrical power sector. Devices like the voltmeter are specifically designed to measure AC or DC voltage, helping technicians verify circuit functionality and safety.

Why AC Is Preferred for Power Transmission

One key reason why AC is preferred over DC is its ability to easily convert to and from high voltages, making electric power transmission across long distances more efficient. Additionally, transformers can increase or decrease AC voltage, resulting in minimal power loss during long-distance transmission. In contrast, DC power cannot be altered as conveniently, making it less suitable for power transmission over extended distances.

How Alternating Current Works

The working principle of AC is centred around the changing magnetic field created by the flow of electric current. As the current changes direction, the magnetic field also alternates, inducing a voltage in the nearby conductors. This property of AC is fundamental to the operation of AC generators and transformers.

• AC operation is based on electromagnetic induction

• Rreversal creates alternating magnetic fields

• Voltage is induced in nearby conductors

The Role of Nikola Tesla in AC Development

The invention of AC can be attributed to multiple individuals, but the Serbian-American inventor, Nikola Tesla, is often credited with pioneering AC systems. Tesla's work on AC power transmission and his development of the induction motor helped establish AC as the dominant form of electricity.

Frequency: 50 Hz vs. 60 Hz

In frequency, the terms 50-cycle and 60-cycle AC refer to the number of times the current changes direction in one second. The frequency of AC power varies globally, with 50 Hz being the standard in many parts of Europe, Asia, and Africa, while 60 Hz is the norm in North America.

• 50 Hz is standard in Europe, Asia, and Africa

• 60 Hz is common in North America

• Frequency affects compatibility and performance of electrical devices

This difference in frequency can affect the operation of certain appliances and devices, making it essential to use the appropriate frequency for the intended purpose.

Advantages of Alternating Current

The advantages of AC over DC extend beyond efficient power transmission. AC is easier to generate and is widely used for electric power generation, making it more accessible and cost-effective. Moreover, AC systems are safer as they can be easily switched off when required, reducing the risk of electrical accidents. AC is versatile and can power various devices, from small household appliances to large industrial machines.

Key benefits of AC:

• Easily transformed to higher or lower voltages

• Safer switching and control in circuits

• Powers a wide range of residential and industrial devices

How AC Is Generated and Transmitted

The generation and transmission of AC are crucial components of the electrical power infrastructure. AC is generated through various means, such as hydroelectric, thermal, and nuclear power plants, which use generators to convert mechanical energy into electrical energy.

Transmission components:

• Transformers: Adjust voltage levels

• Transmission towers: Carry high-voltage lines

• Substations: Regulate voltage for safe end-use

Once generated, AC is transmitted through power lines that consist of transformers, transmission towers, and substations, which adjust the voltage levels for efficient distribution and usage.

The Role of AC in Daily Life

AC plays a vital role in our daily lives, as it powers most of the appliances and devices we rely on, including lights, computers, and household appliances. In addition, its compatibility with transformers, ease of generation, and ability to transmit power over long distances make it a cornerstone of modern electrical systems.

Frequency has a notable impact on AC usage. In addition to determining the compatibility of devices with a region's power supply, the frequency of AC power affects the speed and performance of electrical motors. A change in frequency may result in the motor operating at a different speed or, in some cases, causing it to malfunction.

Transformers are essential devices in AC systems, as they adjust voltage levels to meet the requirements of various applications. They function by utilizing the principle of electromagnetic induction, where a changing magnetic field in the primary coil induces a voltage in the secondary coil. By adjusting the number of turns in the coils, transformers can efficiently increase or decrease the voltage of AC power, depending on the specific application's needs.

The differences between AC and DC are crucial in understanding the diverse landscape of electrical power. The invention of AC by Nikola Tesla and other inventors has revolutionized the way electricity is generated, transmitted, and utilized. With an appreciation for the characteristics and applications of AC, we can gain a deeper understanding of the technology and infrastructure that powers our world.

How Does Alternating Current Work?

AC works by periodically reversing the direction of the electric charge flow within a circuit. In contrast to DC, which flows in a constant direction, AC oscillates back and forth. This oscillation is typically represented as a waveform, often in the shape of a sine wave. Let's dive deeper into how AC works.

AC is characterized by a waveform that typically takes the shape of a sine wave, allowing for smooth and continuous changes in voltage over time. This makes it ideal for long-distance transmission across the power grid, where electricity generated by a generator must travel efficiently to homes and businesses. The frequency of this current—measured in cycles per second or hertz (Hz)—determines how rapidly the voltage changes direction, impacting device performance and grid efficiency. As current flows through a conductor, it can be stepped up or down using a transformer, enabling voltage levels to be optimized for safe and effective delivery.

Generation: AC is generated using a rotating magnetic field to induce an electric current in a conductor. This is done using devices such as generators and alternators, which convert mechanical energy into electrical energy. In these devices, a coil of wire rotates within a magnetic field, or a magnet rotates around a stationary coil. This rotation causes the magnetic field to interact with the conductor, inducing a voltage and, consequently, an electric current that changes direction periodically.

Waveform: The alternating nature of AC is depicted by a waveform, which shows the voltage or current as a function of time. The most common waveform for AC is the sine wave, which can also take other forms, such as square or triangular waves. The waveform's shape determines the characteristics of the AC and how it interacts with various electrical components.

Frequency: One important parameter of AC is its frequency, which indicates the number of complete cycles the current undergoes per second. It is measured in hertz (Hz). Common frequencies include 50 Hz and 60 Hz, but other frequencies can also be used depending on the application. The frequency of the AC power supply affects the performance and compatibility of devices and equipment connected to it.

Voltage and current relationship: In an AC circuit, the voltage and current can be in phase (i.e., they reach their peak values simultaneously) or out of phase (i.e., they reach their peak values at different times). The phase relationship between voltage and current in an AC circuit can significantly impact power delivery and system efficiency. A voltage sag can disrupt sensitive equipment, making voltage regulation a key part of power quality analysis.

Transformers: A key advantage of AC is that its voltage can be easily changed using transformers. Transformers operate on the principle of electromagnetic induction, where a changing magnetic field in the primary coil induces a voltage in the secondary coil. By adjusting the number of turns in the coils, the transformer can step up or down the AC voltage as needed. This ability to adjust voltage levels makes AC an efficient choice for long-distance power transmission.

Frequently Asked Questions

What is the formula to calculate alternating current?

To calculate the value of AC at any given time, you need to know the current's amplitude (maximum value) and the angular frequency. The general formula for calculating instantaneous current in an AC circuit is:

i(t) = I_max * sin(ωt + φ)

Where:

• i(t) is the instantaneous current at time t

• I_max is the amplitude or peak current

• ω (omega) is the angular frequency, calculated as 2πf (where f is the frequency in hertz)

• t is the time at which you want to calculate the current

• φ (phi) is the phase angle, which accounts for any phase shift between the voltage and the current waveforms

Remember that this formula assumes a sinusoidal waveform, the most common form of AC. If the waveform is not sinusoidal, the formula will be different and depend on the specific shape of the waveform.

Another important value for AC circuits is the root-mean-square (RMS) current, which measures the effective value of the current. The RMS current is useful for calculating power in AC circuits and can be compared to the steady current value in DC circuits. The formula to calculate RMS current from the peak current is as follows:

I_RMS = I_max / √2

Where:

• I_RMS is the root-mean-square current

• I_max is the amplitude or peak current

• √2 is the square root of 2, approximately 1.414

• Using these formulas, you can calculate the instantaneous current value for an alternating current waveform and determine the effective or RMS current value.

To understand how voltage affects electrical circuits, it's essential to examine how voltage drop can lead to energy loss, particularly over long distances.

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An ampere is the standard unit of electric current in the International System of Units (SI). It measures the flow of electric charge in a circuit, with one ampere equal to one coulomb of charge passing through a point per second.

What is an Ampere?

The ampere (A) is one of several units used to measure the electromagnetic force between straight, parallel conductors carrying electric current.

✅ Measures electric current or flow of electric charge per second

✅ Defined as one coulomb of charge per second in a conductor

✅ Essential in circuit design, safety, and load calculations

Scientific Definition and Formula

The ampere is defined by the formula:

​

• V is voltage in volts

• R is resistance in ohms

• I is current in amperes

When you explore Ohm’s Law, you'll learn how voltage and resistance influence current using the formula I = V / R.

Safety Considerations

Electric current levels and their effects on the human body:

• 1 mA: barely perceptible

• 5–10 mA: painful shock

• 50 mA: can cause breathing difficulty

• 100 mA: potentially fatal if it passes through the chest

Even small currents, if applied in the wrong way, can be dangerous, especially in wet conditions.

Applications of Amperes

• Power system design: selecting proper wire gauges and protective devices

• Circuit protection: fuses and circuit breakers are rated in amperes

• Electronics: current limits are vital in component design

• Battery ratings: indicate how much current a battery can safely deliver

An ammeter is essential for measuring current directly in amperes within a circuit.

Although the ammeter can measure electric flow in coulombs per second, it is calibrated or marked in amperes. For most practical applications, the term amperes is used instead of coulombs per second when referring to the amount of current flow. Note the use of the prefixes micro and milli to represent very small amounts of current and kilo and mega to represent very large amounts.  The article on the ampere explains why one coulomb per second is foundational to electrical theory. Exploring power factor reveals how reactive energy and real power interact in systems with large currents.

A current of a few milliamperes will give you a startling shock. About 50 mA will jolt you severely, and 100 mA can cause death if it flows through your chest cavity.

An ordinary 100-watt light bulb draws a current of about 1 A. An electric iron draws approximately 10 A; an entire household normally uses between 10 A and 50 A, depending on the size of the house, the types of appliances it has, and also the time of day, week, or year. Learning about the watt helps readers see how power (watts) relates to current (amperes) and voltage.

The amount of current that flows in an electrical circuit depends on both the voltage and the resistance. There are some circuits in which extremely large currents, say 1000 A, flow; this might happen through a metal bar placed directly at the output of a massive electric generator. The resistance is extremely low in this case, and the gen­erator is capable of driving huge amounts of charge. In some semiconductor electronic devices, such as microcomputers, a few nanoamperes are often sufficient for many complex processes. Some electronic clocks draw so little current that their batteries last as long as they would if left on the shelf without being used at all. Reading about electricity safety shows why even small currents—measured in amperes—can pose serious hazards.

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Capacitance in parallel occurs when capacitors are connected side by side, and their values add together. This increases total capacitance, ensures stable voltage, supports efficient charge distribution, and is essential in electronics, energy storage, and reliable circuit design.

What is Capacitance in Parallel?

Capacitance in parallel occurs when capacitors are connected across the same two points in a circuit, causing their capacitance to add up:

✅ Increases total capacitance by summing all capacitor values

✅ Improves energy storage and voltage regulation in circuits

✅ Common in AC and DC applications for a consistent charge supply

To learn the fundamentals, see what is capacitance, which explains how capacitors store charge, the role of farads, and why this property is essential in circuits and energy storage.

Understanding Parallel Capacitor Behavior

When capacitors are connected in parallel, the effective plate area increases, and the total capacitance is the sum of the individual capacitances. Figure 1 shows a simplified parallel circuit. The total charging current from the source divides at the junction of the parallel branches. To fully understand how capacitors behave in parallel, it helps to revisit the basics of what is a capacitor and how capacitance works in circuits. 

Fig. 1 - Simplified parallel circuit.

There is a separate charging current through each branch, allowing a different charge to be stored by each capacitor. Using Kirchhoff’s current law, the sum of all the charging currents is then equal to the total current. The sum of the charges (Q) on the capacitors is equal to the total charge on the capacitors. The voltages (E) across all of the parallel branches are equal. With all of this in mind, a general equation for capacitors in parallel can be determined as:

QT = Q1 + Q2 + Q3

Because Q = CE: CTET = C1E1 + C2E2 + C3E3

Voltages can be factored out because:

ET = E1 + E2 + E3

Leaving us with the equation for capacitors in parallel:

CT = C1 + C2 + C3

Consider the following example:

If C1 = 330μF, C2 = 220μF

Then CT = 330μF + 220μF = 550μF

To calculate the total capacitance in a parallel combination, you simply add the values of the individual capacitors together. This method is straightforward and differs from series connections, where the reciprocal of each capacitor must be used. The total increases with the number of capacitors added in parallel, making this configuration ideal for applications that require higher capacitance. When designing circuits, understanding how a parallel combination enhances energy storage compared to a series connection is crucial for selecting the optimal number of capacitors to achieve the desired performance. For a detailed breakdown of how capacitance is measured, check out the unit of capacitance to understand farads and their practical conversions.

Since voltage remains constant across parallel capacitors, a firm grasp of what is voltage and its behavior in different configurations is essential.

Capacitance in Alternating Current

If a source of alternating current is substituted for the battery, the capacitor acts quite differently than it does with direct current. When an alternating current is applied in the circuit, the charge on the plates constantly changes. [Figure 2] This means that electricity must flow first from Y clockwise around to X, then from X counterclockwise around to Y, then from Y clockwise around to X, and so on. Although no current flows through the insulator between the plates of the capacitor, it constantly flows in the remainder of the circuit between X and Y. In a circuit in which there is only capacitance, current leads the applied voltage, as contrasted with a circuit in which there is inductance, where the current lags the voltage. Capacitors in AC circuits are deeply influenced by alternating current, where the current leads the voltage due to capacitive reactance.

Fig. 2 - Capacitor in an AC circuit.

The parallel connection rule CT = C1 + C2 + C3 reflects the broader principles of resistances in parallel, though capacitance behaves in an additive way instead of being reciprocal.

Capacitive Reactance Xc

The effectiveness of a capacitor in allowing an AC flow to pass depends upon the capacitance of the circuit and the applied frequency. To what degree a capacitor allows an AC flow to pass depends largely upon the capacitive value of the capacitor, given in farads (F). The greater the capacitance, the greater the number of electrons, measured in coulombs, necessary to bring the capacitor to a fully charged state. Once the capacitor approaches or actually reaches a fully charged condition, the polarity of the capacitor will oppose the polarity of the applied voltage, essentially acting then as an open circuit.

To further illustrate this characteristic and how it manifests itself in an AC circuit, consider the following:
If a capacitor has a large capacitive value, a high-frequency current can alternate through it without the capacitor ever reaching a full charge. In this case, the capacitor may offer very little resistance to current.

However, the smaller the capacitance, the fewer electrons are required to bring it up to a full charge, and it is more likely that the capacitor will build up enough of an opposing charge to present significant resistance, possibly behaving like an open circuit. Understanding Kirchhoff’s Law helps explain how current divides among parallel capacitors and supports accurate calculations.

Comparison With Series Capacitance

Understanding the difference between series and parallel capacitance is critical for circuit design:

• Parallel is best when you want more capacitance and voltage stability.

• Series is used when you need a lower total capacitance or to increase voltage tolerance.

To explore how capacitors behave when connected end-to-end, visit capacitance in series, which explains the reciprocal formula and voltage behavior.

Practical Design Considerations

• Voltage Rating: In parallel, all capacitors share the same voltage. The lowest voltage rating among capacitors determines the safe operating voltage of the group.

• Physical Size: Adding more capacitors increases board space. Designers must balance performance with space constraints.

• Energy Storage: Parallel configurations store more energy, making them ideal for power supplies, smoothing circuits, and buffering in audio and RF systems.

Real-world circuit design also requires familiarity with types of capacitors, as their materials and tolerances affect total capacitance and performance.

Real-World Applications of Parallel Capacitors

• Power Supply Smoothing: Bulk capacitors in parallel stabilize the DC output.

• Decoupling Noise: Small-value capacitors placed in parallel with larger ones eliminate high-frequency interference.

• Tuning Circuits: In radio circuits, variable capacitors, when used in parallel with fixed ones, help tune specific frequencies.

For a broader context, you can explore how electrical resistance and reactive power relate to capacitive elements in AC power systems.

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• Electricity History

Who discovered electricity? Early pioneers including William Gilbert, Benjamin Franklin, Luigi Galvani, Alessandro Volta, and Michael Faraday advanced static electricity, circuits, and electromagnetism, laying the foundation for modern electrical science.

Who Discovered Electricity?

No single person discovered electricity; figures Gilbert, Franklin, Galvani, Volta and Faraday shaped the field.

✅ William Gilbert coined "electricus"; foundational studies of magnetism.

✅ Franklin's kite experiment linked lightning and electricity; charge theory.

✅ Volta's pile enabled current; Faraday unified electromagnetism.

Who Discovered Electricity ? From the writings of Thales of Miletus it appears that Westerners in their day knew as long ago as 600 B.C. that amber becomes charged by rubbing. But other than that, there was little real progress until the English scientist William Gilbert in 1600 described the electrification of many substances and coined the term "electricity" from the Greek word for amber. For a deeper look at how ideas about discovery versus invention evolved, see who invented electricity for historical perspective.

As a result, Gilbert is called the father of modern electric power. In 1660, Otto von Guericke invented a crude machine for producing static electricity. It was a ball of sulfur, rotated by a crank with one hand and rubbed with the other. Successors, such as Francis Hauksbee, made improvements that provided experimenters with a ready source of static electricity. Today's highly developed descendant of these early machines is the Van de Graaf generator, which is sometimes used as a particle accelerator. Robert Boyle realized that attraction and repulsion were mutual and that electric force was transmitted through a vacuum. Stephen Gray distinguished between conductors and nonconductors. C. F. Du Fay recognized two kinds of power, which Benjamin Franklin and Ebenezer Kinnersley of Philadelphia, peoples who later named positive and negative.

For a quick chronological overview of these pioneering advances, consult this timeline of electricity to trace developments across centuries.

Progress quickened after the Leyden jar was invented in 1745 by Pieter van Musschenbroek. The Leyden jar stored static electricity, which could be discharged all at once. In 1747 William Watson discharged a Leyden jar through a circuit, and comprehension of the current and circuit started a new field of experimentation. Henry Cavendish, by measuring the conductivity of materials (he compared the simultaneous shocks he received by discharging Leyden jars through the materials), and Charles A. Coulomb, by expressing mathematically the attraction of electrified bodies, began the quantitative study of electric power. For additional background on early experiments and theory, explore the history of electricity for context and sources.

Depite what you have learned, Benjamin Franklin did not "discover" electric power. In fact, electric power did not begin when Benjamin Franklin at when he flew his kite during a thunderstorm or when light bulbs were installed in houses all around the world. For details on why Franklin is often miscredited, read did Ben Franklin discover electricity for clarification.

The truth is that electric power has always been around because it naturally exists in the world. Lightning, for instance, is simply a flow of electrons between the ground and the clouds. When you touch something and get a shock, that is really static electricity moving toward you. If you are new to the core concepts, start with basic electricity to ground the fundamentals.

Power Personalities

Benjamin Franklin

Ben Franklin was an American writer, publisher, scientist and diplomat, who helped to draw up the famous Declaration of Independence and the US Constitution. In 1752 Franklin proved that lightning and the spark from amber were one and the same thing. The story of this famous milestone is a familiar one, in which Franklin fastened an iron spike to a silken kite, which he flew during a thunderstorm, while holding the end of the kite string by an iron key. When lightening flashed, a tiny spark jumped from the key to his wrist. The experiment proved Franklin's theory. For more about Franklin's experiments, see Ben Franklin and electricity for experiment notes and legacy.

Galvani and Volta

In 1786, Luigi Galvani, an Italian professor of medicine, found that when the leg of a dead frog was touched by a metal knife, the leg twitched violently. Galvani thought that the muscles of the frog must contain electric signals. By 1792 another Italian scientist, Alessandro Volta, disagreed: he realised that the main factors in Galvani's discovery were the two different metals - the steel knife and the tin plate - apon which the frog was lying. Volta showed that when moisture comes between two different metals, electric power is created. This led him to invent the first electric battery, the voltaic pile, which he made from thin sheets of copper and zinc separated by moist pasteboard.

In this way, a new kind of electric power was discovered, electric power that flowed steadily like a current of water instead of discharging itself in a single spark or shock. Volta showed that electric power could be made to travel from one place to another by wire, thereby making an important contribution to the science of electricity. The unit of electrical potential, the Volt, is named after Volta.

Michael Faraday

The credit for generating electric current on a practical scale goes to the famous English scientist, Michael Faraday. Faraday was greatly interested in the invention of the electromagnet, but his brilliant mind took earlier experiments still further. If electricity could produce magnetism, why couldn't magnetism produce electric power.

In 1831, Faraday found the solution. Electricity could be produced through magnetism by motion. He discovered that when a magnet was moved inside a coil of copper wire, a tiny electric current flows through the wire. Of course, by today's standards, Faraday's electric dynamo or electric generator was crude, and provided only a small electric current be he discovered the first method of generating electric power by means of motion in a magnetic field.

Thomas Edison and Joseph Swan

Nearly 40 years went by before a really practical DC (Direct Current) generator was built by Thomas Edison in America. Edison's many inventions included the phonograph and an improved printing telegraph. In 1878 Joseph Swan, a British scientist, invented the incandescent filament lamp and within twelve months Edison made a similar discovery in America. For a broader view of his role in power systems, visit Thomas Edison and electricity for projects and impact.

Swan and Edison later set up a joint company to produce the first practical filament lamp. Prior to this, electric lighting had been my crude arc lamps.

Edison used his DC generator to provide electricity to light his laboratory and later to illuminate the first New York street to be lit by electric lamps, in September 1882. Edison's successes were not without controversy, however - although he was convinced of the merits of DC for generating electricity, other scientists in Europe and America recognised that DC brought major disadvantages.

George Westinghouse and Nikola Tesl

Westinghouse was a famous American inventor and industrialist who purchased and developed Nikola Tesla's patented motor for generating alternating current. The work of Westinghouse, Tesla and others gradually persuaded American society that the future lay with AC rather than DC (Adoption of AC generation enabled the transmission of large blocks of electrical, power using higher voltages via transformers, which would have been impossible otherwise). Today the unit of measurement for magnetic fields commemorates Tesla's name.

James Watt

When Edison's generator was coupled with Watt's steam engine, large scale electricity generation became a practical proposition. James Watt, the Scottish inventor of the steam condensing engine, was born in 1736. His improvements to steam engines were patented over a period of 15 years, starting in 1769 and his name was given to the electric unit of power, the Watt.

Watt's engines used the reciprocating piston, however, today's thermal power stations use steam turbines, following the Rankine cycle, worked out by another famous Scottish engineer, William J.M Rankine, in 1859.

Andre Ampere and George Ohm

Andre Marie Ampere, a French mathematician who devoted himself to the study of electricity and magnetism, was the first to explain the electro-dynamic theory. A permanent memorial to Ampere is the use of his name for the unit of electric current.

George Simon Ohm, a German mathematician and physicist, was a college teacher in Cologne when in 1827 he published, "The galvanic Circuit Investigated Mathematically". His theories were coldly received by German scientists but his research was recognised in Britain and he was awarded the Copley Medal in 1841. His name has been given to the unit of electrical resistance.

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