What is Voltage?

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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Inductance
Michael Faraday discovered that by moving a magnet through a coil of wire, a voltage was induced across the coil. If a complete circuit was provided, then a current was also induced. The amount of induced voltage is directly proportional to the rate of change of the magnetic field with respect to the coil. The simplest of experiments can prove that when a bar magnet is moved through a coil of wire, a voltage is induced and can be measured on a voltmeter. This is commonly known as Faraday’s Law or the law of electromagnetic induction, which states:

The induced emf or electromagnetic force in a closed loop of wire is proportional to the rate of change of the magnetic flux through a coil of wire.

Conversely, current flowing through a coil of wire produces a magnetic field. When this wire is formed into a coil, it then becomes a basic inductor. The magnetic lines of force around each loop or turn in the coil effectively add to the lines of force around the adjoining loops. This forms a strong magnetic field within and around the coil. Figure 1A, illustrates this idea of a coil of wire strengthening a magnetic field. The magnetic lines of force around adjacent loops are deflected into an outer path when the loops are brought close together. This happens because the magnetic lines of force between adjacent loops are in opposition with each other. The total magnetic field for the two loops close together, the strength of the magnetic field will increase. Figure 10-118C illustrates the combined effects of many loops of a coil. The result is a strong electromagnet.

Fig. 1 - Many loops of a coil.

The primary aspect of the operation of a coil is its property to oppose any change in current through it. This property is called inductance. When current flows through any conductor, a magnetic field starts to expand from the center of the wire. As the lines of magnetic force grow outward through the conductor, they induce an emf in the conductor itself. The induced voltage is always in the direction opposite to the direction of the current flow. The effects of this countering emf are to oppose the immediate establishment of the maximum current. This effect is only a temporary condition. Once the current reaches a steady value in the conductor, the lines of magnetic force will no longer be expanding and the countering emf will no longer be present.

At the starting instant, the countering emf nearly equals the applied voltage, resulting in a small current flow. However, as the lines of force move outward, the number of lines cutting the conductor per second becomes progressively smaller, resulting in a diminished counter emf. Eventually, the counter emf drops to zero and the only voltage in the circuit is the applied voltage and the current is at its maximum value.

The RL Time Constant

Because the inductors basic action is to oppose a change in its current, it then follows that the current cannot change instantaneously in the inductor. A certain time is required for the current to make a change from one value to another. The rate at which the current changes is determined by a time constant represented by the greek letter tau (τ). The time constant for the RL circuit is:

In a series RL circuit, the current will increase to 63% of its full value in 1 time constant after the circuit is closed. This build up of course is similar to the build up of voltage in a capacitor when charging an RC circuit. Both follow an exponential curve and reach 99% value after the 5th time constant. Figure 2 illustrates this characteristic.

Physical Parameters
Some of the physical factors that affect inductance are:

1. The number of turns: Doubling the number of turns in a coil will produce a field twice as strong, if the same current is used. As a general rule, the inductance varies as the square of the number of turns.
2. The cross-sectional area of the coil: The inductance of a coil increases directly as the cross-sectional area of the core increases. Doubling the radius of a coil increases the inductance by a factor of four.
3. The length of a coil: Doubling the length of a coil, while keeping the same number of turns, halves the value of inductance.
4. The core material around which the coil is formed: Coils are wound on either magnetic or nonmagnetic materials. Some nonmagnetic materials include air, copper, plastic, and glass. Magnetic materials include nickel, iron, steel, or cobalt, which have a permeability that provides a better path for the magnetic lines of force and permit a stronger magnetic field. 

Self-Inductance
The characteristic of self-inductance was summarized by German physicist Heinrich Lenz in 1833 and gives the direction of the induced electromotive force (emf) resulting from electromagnetic induction. This is commonly known as Lenz’s Law, which states:

"The emf induced in an electric circuit always acts in such a direction that the current it drives around a closed circuit produces a magnetic field which opposes the change in magnetic flux."

Self inductance is the generation of a voltage in an electric circuit by a changing current in the same circuit. Even a straight piece of wire will have some degree of inductance because current in a conductor produces a magnetic field. When the current in a conductor changes direction, there will be a corresponding change in the polarity of the magnetic field around the conductor. Therefore, a changing current produces a changing magnetic field around the wire.

To further intensify the magnetic field, the wire can be rolled into a coil, which is called an inductor. The changing magnetic field around the inductor induces a voltage across the coil. This induced electromotive force is called self-inductance and tends to oppose any change in current within the circuit. This property is usually called inductance and symbolized with the letter L. 

Electricity How It Works explains electron flow, voltage, current, resistance, and power in circuits, from generation to distribution, covering AC/DC systems, Ohm's law, conductors, semiconductors, transformers, and energy conversion efficiency and safety.

What Is Electricity How It Works?

Explains electron flow, voltage, current, resistance, and power conversion in AC/DC circuits and key components.

✅ Voltage drives current through resistance per Ohm's law (V=IR).

✅ AC/DC systems distribute power via transformers and rectifiers.

✅ Conductors, semiconductors, capacitors, inductors shape circuits.

Electricity How It Works - This is a very common question. It can best be explained by stating this way: Single-phase electricity is what you have in your house. You generally talk about household electrical service as single-phase, 120-volt AC service. If you use an oscilloscope and look at the power found at a normal wall-plate outlet in your house, what you will find is that the power at the wall plate looks like a sine wave, and that wave oscillates between -170 volts and 170 volts (the peaks are indeed at 170 volts; it is the effective (rms) voltage that is 120 volts). The rate of oscillation for the sine wave is 60 cycles per second. Oscillating power like this is generally referred to as AC, or alternating current. The alternative to AC is DC, or direct current. Batteries produce DC: A steady stream of electrons flows in one direction only, from the negative to the positive terminal of the battery.

For a refresher on fundamentals, the overview at what is electricity explains charge, current, and voltage in practical terms.

AC has at least three advantages over DC in an electricity power distribution grid:

1. Large electricity generators happen to generate AC naturally, so conversion to DC would involve an extra step.
2. Electrical Transformers must have alternating current to operate, and we will see that the power distribution grid depends on transformers. 
3. It is easy to convert AC to DC but expensive to convert DC to AC, so if you were going to pick one or the other AC would be the better choice.

To connect these advantages to real-world practice, the primer on basic electricity clarifies AC versus DC behavior, impedance, and safety basics.

The electricity generating plant, therefore, produces AC. For a deeper look at how rotating machines induce AC, see the overview of electricity generators and their role in utility-scale plants.

Electricity How it Works in The Power Plant: Three-phase Power

If you want a quick walkthrough from generation to loads, this guide on how electricity works ties the concepts together before we examine three-phase specifics.

The power plant produces three different phases of AC power simultaneously, and the three phases are offset 120 degrees from each other. There are four wires coming out of every power plant: the three phases plus a neutral or ground common to all three. If you were to look at the three phases on a graph, they would look like this relative to ground:

A concise visual explainer on three-phase electricity shows how 120-degree phase offsets create balanced currents in feeders.

Electricity How It Works - There is nothing magical about three-phase power. It is simply three single phases synchronized and offset by 120 degrees. For wiring diagrams and common configurations, explore 3-phase power examples used across industrial facilities.

Why three phases? Why not one or two or four? In 1-phase and 2-phase electricity, there are 120 moments per second when a sine wave is crossing zero volts. In 3-phase power, at any given moment one of the three phases is nearing a peak. High-power 3-phase motors (used in industrial applications) and things like 3-phase welding equipment therefore have even power output. Four phases would not significantly improve things but would add a fourth wire, so 3-phase is the natural settling point.

Practical comparisons of motor torque ripple and line loading in 3-phase electricity help illustrate why three conductors strike the best balance.

And what about this "ground," as mentioned above? The power company essentially uses the earth as one of the wires in the electricity system. The earth is a pretty good conductor and it is huge, so it makes a good return path for electrons. (Car manufacturers do something similar; they use the metal body of the car as one of the wires in the car's electrical system and attach the negative pole of the battery to the car's body.) "Ground" in the power distribution grid is literally "the ground" that's all around you when you are walking outside. It is the dirt, rocks, groundwater, etc., of the earth.

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An ammeter measures electric current in a circuit, displayed in amperes (A). Connected in series with low internal resistance to reduce burden voltage, it ensures accurate readings for testing, fault detection, and diagnostics.

What do Ammeters Measure?

Ammeters are measuring devices that measure the flow of electricity in the form of current in a circuit.

✅ Measure electric current in amperes, connected in series with low internal resistance to minimize burden voltage.

✅ Available in analog, digital, clamp, and current transformer designs.

✅ Used for testing, fault detection, continuity checks, and diagnostics.

Electrical currents are then measured in the form of amperes, hence the name "ammeter". The term "ammeter" is sometimes used incorrectly as "ampmeter". Understanding how an ammeter works is easier when you first explore the basics of electricity fundamentals, including how voltage, current, and resistance interact in a circuit.

An ammeter measures electric current in a circuit, expressed in amperes (A). It must be connected in series with the load so that all the current flows through it, and is designed with low internal resistance to minimize burden voltage, thereby ensuring accurate readings without significantly affecting the circuit’s performance. The measurement unit for an ammeter is the ampere, explained in detail on our what is an ampere page, which also covers its relationship to other electrical units.

Ammeters are designed (as well as ohmmeters and voltmeters) to be used with a sensitive current detector such as a moving coil in a galvanometer. To measure the electric current flow through it, an ammeter is placed in series with a circuit element. The ammeter is designed to offer very low resistance to the current, so that it does not appreciably change the circuit it is measuring. To do this, a small resistor is placed in parallel with the galvanometer to shunt most of the current around the galvanometer. Its value is chosen so that when the design current flows through the meter, it will deflect to its full-scale reading. A galvanometer's full-scale current is very small: on the order of milliamperes. To see how ammeters fit into broader measurement tools, check out our guide on what is a voltmeter and what is a multimeter, which measure multiple electrical properties.

An Ammeter is analog. It is not mechanical or digital. It uses an analog-to-digital converter (ADC) to measure the voltage across the shunt resistor. The ADC is read by a microcomputer that performs the calculations to display the current through the resistor.

How an Ammeter Works

An ammeter works by being placed in series with the circuit so that all the current flows through it. Inside, a shunt resistor with very low internal resistance creates a small, measurable voltage drop proportional to the current. In analog designs, this current is partly diverted around a sensitive moving-coil mechanism, which displays the reading on a scale. In digital designs, the voltage drop across the shunt is measured by an analog-to-digital converter (ADC) and calculated into an amperes value, ensuring accurate measurement without significantly disturbing the circuit’s performance. Accurate current measurement also depends on understanding what is electrical resistance and how it affects current flow, especially in low-resistance ammeter designs.

Types and Mechanisms

Analog ammeter – Includes moving-coil (D'Arsonval) and moving-iron types, which use magnetic deflection to display current on a scale. These designs are valued for their simplicity, durability, and ability to provide continuous current readings.

Digital ammeter – Uses a shunt resistor to create a small voltage drop proportional to the current. This voltage is measured by an analog-to-digital converter (ADC) and displayed as a precise digital value. Digital ammeters often feature higher accuracy, wider measurement ranges, and additional functions such as data logging.

Clamp meter – Measures current without breaking the circuit by detecting the magnetic field around a conductor. This method is ideal for quick testing, especially in high-current applications or where live connections cannot be interrupted.

Current transformer (CT) ammeter – Designed for high-current AC systems, this type uses a transformer to scale down large primary currents into a safe, measurable secondary current for the meter.

Shunts and Operation

A shunt resistor is a precision, low-resistance component used in many ammeters. In analog designs, it is placed in parallel with the meter movement, diverting most of the current to protect the instrument. In certain digital designs, it is placed in series with the circuit. By measuring the voltage drop across the shunt and applying Ohm’s law, the meter accurately calculates the current. This approach allows for measurement of very large currents without damaging the meter and helps maintain measurement stability.

Applications and Value

Ammeters are essential tools in electrical testing, short-circuit detection, continuity testing, and system diagnostics. They help identify overloads, open circuits, and unstable current conditions that may indicate equipment faults or inefficiencies.

In industrial, commercial, and residential settings, ammeters are used for equipment maintenance, troubleshooting, and performance monitoring. Specialized variants such as milliammeters and microammeters are designed for extremely low current measurements, while integrating ammeters track current over time to determine total electrical charge delivered to a device or system. For historical context on the development of measuring instruments, visit our history of electricity page to learn how electrical science evolved over time.

Practical Applications of Ammeters

Ammeters are used in a wide range of electrical and electronic work:

• Automotive diagnostics – Measuring current draw from the battery to detect parasitic drains, starter motor issues, and charging system faults.

• Solar panel and battery monitoring – Tracking current output from photovoltaic arrays and the charging/discharging rates of storage batteries to optimize system efficiency.

• Industrial motor maintenance – Monitoring motor current to identify overload conditions, detect bearing wear, or confirm correct load operation.

• Household appliance servicing – Checking current draw to troubleshoot faulty components or ensure devices operate within safe limits.

• Power distribution systems – Ensuring current levels remain within capacity for cables, fuses, and protective devices.

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Inductance is the property of an electrical circuit that resists changes in current by storing energy in a magnetic field. It underpins transformers, motors, inductors, and AC power systems, making it essential in the field of electrical engineering.

What is Inductance?

Inductance is a fundamental electrical property that describes how circuits resist changes in current flow by generating a magnetic field.

✅ Opposes changes in current by storing energy in a magnetic field

✅ Measured in henrys (H), used in inductors and transformers

✅ Essential in AC power systems, filters, and motor design

This principle is central to electromagnetic induction and underlies many devices in modern power and electronics.

The principle of inductance was first discovered by Michael Faraday, who showed that moving a magnet through a coil of wire induced a voltage across the coil. This discovery, known as Faraday’s Law, explains the phenomenon of electromagnetic induction. Heinrich Lenz later refined this understanding, demonstrating that the induced voltage always acts to oppose the change that created it — a principle now known as Lenz’s Law. These discoveries underpin the operation of inductors, transformers, and motors.

Inductance occurs when a change in current flow is utilized to prevent signals with a higher frequency component from passing, while allowing signals with lower frequency components to pass. This is why inductors are sometimes referred to as "chokes," as they effectively block higher frequencies. A common application of a choke is in a radio amplifier biasing circuit, where the collector of a transistor needs to be supplied with a DC voltage without allowing the RF (radio frequency) signal to conduct back into the DC supply. To understand how inductance interacts with voltage changes in AC circuits, see our article on voltage.

To understand how inductance interacts with voltage changes in AC circuits, see our article on voltage.

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Imagine a wire 1,000,000 miles (about 1,600,000 kilometres) long. Imagine that we form this wire into a huge loop and then connect its ends to the terminals of a battery, as shown in Figure 1, to drive current through the wire. Inductors are often paired with capacitors in circuits, so it's helpful to review the basics of what is a capacitor and how they function.

If we used a short wire for this experiment, the current would begin to flow immediately and attain a level limited only by the resistance in the wire and the resistance in the battery. But because we have an extremely long wire, the electrons require some time to work their way from the negative battery terminal, around the loop, and back to the positive terminal. Therefore, it will take some time for the current to reach its maximum level. Since inductance is used to oppose changes in current, our guide on what is current electricity provides essential background.

The magnetic field produced by the loop will initially be small during the first few moments when current flows only in part of the loop. The field will build up as the electrons get around the loop. Once the electrons reach the positive battery terminal, allowing a steady current to flow around the entire loop, the magnetic field quantity reaches its maximum and levels off, as shown in Figure 2. At that time, we'll have a certain amount of energy stored in the magnetic field. The amount of stored energy will depend on the inductance of the loop, which depends on its overall size. We symbolize inductance, as a property or as a mathematical variable, by writing an italicized, uppercase letter L. Our loop constitutes an inductor. To abbreviate "inductor," we write an upper-case, non-italicized letter L.

Fig. 1. We can use a huge, imaginary loop of wire to illustrate the principle of inductance.

Counter EMF and the RL Time Constant

As current begins to flow in a conductor, the expanding magnetic field induces a counter-electromotive force (emf) that opposes the applied voltage. At the instant of starting, this counter emf nearly equals the source voltage, keeping the current flow small. As the magnetic field stabilizes, the counter emf weakens until the current reaches its maximum.

Because inductors resist changes in current, the current in an RL circuit cannot change instantly. The rate of change is governed by the time constant (τ):

• After one time constant, the current reaches approximately 63% of its maximum value.

• After 5 time constants, the current is essentially steady.

This exponential buildup parallels the charging process of capacitors in RC circuits.

Building Inductance with Coils and Cores

Obviously, we can't make a wire loop measuring anywhere near 1,000,000 miles in circumference. But we can wind fairly long lengths of wire into compact coils. When we do that, the magnetic flux for a given length of wire increases compared with the flux produced by a single-turn loop, increasing the inductance. If we place a ferromagnetic rod, called a core, inside a coil of wire, we can increase the flux density and further enhance the inductance. High-frequency signals blocked by inductors are often explained using the concept of impedance, detailed in our page on what is impedance.

We can achieve values of L many times greater with a ferromagnetic core than with a similar-sized coil having an air core, a solid plastic core, or a solid wooden core. (Plastic and dry wood have permeability values that differ little from air or a vacuum; engineers occasionally use these materials as coil cores or "forms" to add structural rigidity to the windings without significantly changing the inductance.) The current that an inductor can handle depends on the diameter of the wire. But the value of L also depends on the number of turns in the coil, the diameter of the coil, and the overall shape of the coil. Many circuits involve a balance between resistance and inductance, so reviewing what is electrical resistance will add depth to your understanding.

Key physical parameters that affect inductance include:

• Number of turns: inductance varies as the square of the turns.

• Cross-sectional area: a larger area increases inductance.

• Length of the coil: Longer coils reduce inductance.

• Core material: magnetic materials (iron, steel, nickel) concentrate flux and increase inductance.

If we hold all other factors constant, the inductance of a helical coil increases in direct proportion to the number of turns of wire. Inductance also increases in direct proportion to the diameter of the coil. If we "stretch out" a coil with a certain number of turns and a certain diameter while holding all other parameters constant, its inductance decreases. Conversely, if we "squash up" an elongated coil while holding all other factors constant, the inductance goes up. For insight into how inductors shape power quality, especially reactive power, read our overview of reactive power.

Self-Inductance

Even a straight conductor exhibits some inductance, but when the current in a coil changes, the change in the magnetic field induces a voltage across that same coil. This phenomenon is known as self-inductance, and it always opposes changes in current. The effect is central to the operation of inductors, transformers, and motor windings.

Normal and Abnormal Conditions

Under normal circumstances, the inductance of a coil (or any other type of device designed to function as an inductor) remains constant regardless of the strength of the signal we apply. In this context, "abnormal circumstances" refer to an applied signal so strong that the inductor wire melts or the core material overheats excessively. Good engineering sense demands that such conditions should never arise in a well-designed electrical or electronic system.

Fig. 2. Relative magnetic flux in and around a huge loop of wire connected to a current source, as a function of time.

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What is a voltage regulator? A control circuit that stabilizes DC output from AC/DC power supplies using feedback, reference, and PWM; includes linear LDOs and switching buck/boost converters, improving line/load regulation, ripple suppression, efficiency.

What Is a Voltage Regulator?

It keeps voltage steady despite load changes, using linear or switching control to cut ripple, protecting circuits.

✅ Maintains setpoint via reference, error amplifier, feedback loop

✅ Linear LDOs offer low noise; dropout defined by headroom

✅ Switching buck/boost provide high efficiency, EMI needs filtering

What is a voltage regulator, and how does it work?

A voltage regulator is a component of the power supply unit that maintains a constant voltage supply through all operational conditions. Voltage regulators can regulate both AC and DC voltages, ensuring a steady, constant voltage supply. The output voltage is usually lower than the input voltage. The regulator compares the output voltage to a reference voltage and uses the difference to adjust the output voltage. An external voltage source or a circuit within the regulator typically sets the reference voltage. The regulator monitors the output voltage and adjusts it to maintain the reference voltage, which ensures a constant output voltage despite fluctuations in the input voltage or load conditions. For a succinct refresher on fundamentals, review what voltage is and how it is quantified in electrical systems.

Why is voltage regulation important in electronic circuits?

Voltage regulation is essential in electronic circuits because all electronic devices are designed to run at predetermined power ratings, including voltage and current. Therefore, the voltage supply should ideally be constant and steady for the device's proper functioning. Any variation in the voltage supply can lead to device malfunction or even failure. Voltage regulation ensures proper device operation and prevents damage due to voltage fluctuations. Design targets often align with a system's nominal voltage to ensure interoperability and safety margins.

What are the different types of voltage regulators?

They can be classified based on their physical design, active components used, and working principle. For example, linear and switching regulators are the most common classifications of active voltage regulators (that use amplifying components like transistors or op-amps).

Linear regulators use amplifying components like transistors or op-amps to regulate the output voltage. They are simple and reliable but less efficient as they waste excess power as heat. Linear regulators are suitable for low-power applications where efficiency is not a major concern. In many loads the effective behavior of a resistor network shapes the current draw and thermal budget.

Switching regulators, on the other hand, use inductors and capacitors to store and transfer energy, making them more efficient than linear regulators. They are commonly used in battery-powered devices as they consume less power. Switching regulators are more complex than linear regulators and require careful design and layout.

They can also be classified based on their physical design. Voltage regulators used in low-voltage electronic devices are usually integrated circuits. Power distribution centers providing AC power to residential and industrial consumers use more sophisticated and mechanically large voltage regulators that maintain a rated voltage regardless of consumption demands across the area. For context, consumer gadgets often operate within defined low-voltage categories that influence package choice and safety standards.

Can a voltage regulator be used for both AC and DC power sources?

Yes, they can be used for both AC and DC power sources. AC voltage regulators are used in power distribution centers to maintain a constant voltage supply to consumers. DC voltage regulators are used in electronic devices that run on DC power sources, such as batteries or DC power supplies. When selecting between sources, it helps to understand the difference between AC and DC and how each impacts regulation strategy.

What is the difference between a voltage regulator and a voltage stabilizer?

Linear voltage regulators and voltage stabilizers are similar in function as they both regulate the output voltage. However, the main difference between the two is in their working principle. They maintain a constant output voltage by adjusting the voltage as needed to maintain a reference voltage. On the other hand, voltage stabilizers maintain a constant output voltage by using a transformer and voltage regulator ics to stabilize the voltage output.

How do you choose the right one for a specific application?

When choosing one for a specific application, several factors should be considered, including the input voltage range, output voltage range, output current requirements, efficiency, and operating temperature range. During prototyping, verify rails with a calibrated voltmeter to confirm stability under representative loads.

The input voltage range refers to the maximum and minimum input voltages that the regulator can handle. The output voltage range is the range of output voltages that the regulator can provide. The output current requirement refers to the amount of current that the regulator needs to supply to the load. Efficiency is an essential factor as it determines how much power is wasted as heat. Higher efficiency regulators consume less power and generate less heat, which is especially important in battery-powered devices. The operating temperature range is also important as some higher output voltage regulators can operate only within a certain temperature range.

It is crucial to select the appropriate type of regulator for the application. For example, linear regulators are suitable for low-power applications where efficiency is not a major concern while switching regulators are more appropriate for high-power applications that require higher efficiency.

There are various types, including adjustable, boost step-up and buck-boost regulators, and constant output. Adjustable ones allow the user to adjust the output voltage as needed, making them versatile for different duty cycle applications. Boost step-up and buck-boost regulators can increase or decrease the output voltage from the input voltage, making them useful for applications where the input voltage is lower than the required output voltage. Constant output voltage regulators maintain a constant output voltage despite changes in input voltage or load conditions.

In electronic circuits, voltage fluctuations and ripple voltage can be problematic. Voltage fluctuations refer to rapid changes in the voltage level, while ripple voltage refers to the residual AC voltage that remains after rectification. Voltage regulators can help minimize voltage fluctuations and ripple voltage in electronic circuits, ensuring proper device operation. After rectification, understanding what a rectifier does helps explain the origin of ripple and filtering needs.

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