What do Ammeters Measure?

An electrical short circuit occurs when current takes an unintended path with low resistance, resulting in excessive heat, arc faults, or increased fire risks. Proper circuit protection, insulation, and grounding methods are vital for preventing damage.

What is an Electrical Short Circuit?

An electrical short circuit is an abnormal condition in which electricity bypasses normal wiring paths, causing high current flow and serious hazards.

✅ Results in overheating, arc faults, or fires

✅ Requires protective devices and grounding for safety

✅ Demands inspection, risk assessment, and prevention

This dangerous event can result in power outages, damaged appliances, or even fires. By understanding the types of short circuits, their causes, detection methods, and prevention strategies, we can greatly reduce the risks. When studying short circuits, it is helpful to first understand the principles of basic electricity, as the same laws of voltage, current, and resistance explain why faults occur.

Causes of Short Circuits

There are several reasons why a short circuit may occur. Common causes include faulty appliance wiring, loose wire connections, and damaged insulation on wires. These issues can lead to current flowing through an unintended path, creating a short circuit.

Short circuits happen for many reasons, ranging from everyday wear to unusual accidents:

• Damaged or faulty wiring – Insulation breakdown from age or overheating.

• Water or moisture ingress – Flooding, leaks, or humidity can allow current to bypass insulation.

• Pest damage – Rodents chewing wiring can strip insulation and create direct shorts.

• Mechanical damage – Nails, drilling, or physical stress on cables.

• Corrosion in connections – Loose or corroded joints create hot spots and unintended paths.

• Appliance defects – Internal failures in motors, compressors, or electronics.

• Ground faults vs. short circuits – A short is current between conductors, while a ground fault involves current leaking to earth.

• Overload vs. short – Overload is too much current for too long; a short is a sudden surge with very low resistance.

Detection and Symptoms

Detecting a short circuit can be challenging, but some common signs may indicate its presence. Detecting a short circuit can be difficult, but common warning signs include:

• Frequent tripping of breakers or GFCIs

• Flickering or dimming lights

• Buzzing or crackling sounds in outlets

• Burning smells or discolored outlets

• Damaged insulation or melted wires

For diagnosis, electricians use multimeters, insulation testers (meggers), clamp meters, and thermal imaging cameras to isolate fault locations. Tracers can also help locate hidden shorts inside walls. In three-phase systems, a fault between conductors can cause even greater hazards, making it essential to understand how three-phase electricity behaves under fault conditions. Ground faults are often confused with shorts, but a true electrical fault may involve multiple types of abnormal current flow.

Theory of a Short Circuit

A short circuit illustrates Ohm’s Law (V = I × R): when resistance (R) drops close to zero, current (I) increases dramatically. This sudden fault current stresses wiring, overheats insulation, and can exceed equipment ratings. That’s why time-current curves, protective relays, and properly sized conductors are crucial for safety. Protective devices are designed to limit current and prevent excessive electrical resistance heating that can trigger a fire.

Prevention

Prevention is key to safety. Prevention is the most effective protection. Strategies include:

• Installing arc fault circuit interrupters (AFCIs) to detect dangerous arcs.

• Using fuses, breakers, and GFCIs for fault interruption.

• Adding surge protectors to handle transient spikes.

• Ensuring proper conductor sizing and insulation quality.

• Using protective relays and redundancy in industrial systems.

• Regular inspections of cords, outlets, and panels.

Modern codes, such as the National Electric Code (NEC), the Canadian Electric Code, and IEC standards, all require specific protection and device ratings to reduce hazards.

Dangers of Short Circuits

Short circuits can pose significant risks to both people and property. They are among the most dangerous faults:

• Fire hazards – Sparks and overheated wires ignite flammable materials.

• Electric shock – Fault currents may flow through people during contact.

• Equipment damage – Motors, appliances, and electronics can be severely damaged or destroyed.

For example, a refrigerator's shorted compressor can ignite nearby insulation, while an industrial panel's short can trip upstream breakers, causing outages and costly downtime. They are one of the many dangers of electricity that electricians must guard against through the use of insulation, grounding, and protective equipment.

How To Repair

If you suspect a short in the power system, it's crucial to address the issue immediately. If you suspect a short:

1. Shut off the power at the breaker or unplug devices.

2. Inspect outlets, cords, and panels for visible damage.

3. Use diagnostic tools to isolate the faulted loop.

4. Replace damaged wires or devices.

5. If uncertain, consult a licensed electrician — shorts are not DIY-friendly.

Difference Between a Short Circuit and an Open Circuit

While both short circuits and open circuits involve disruptions in normal functioning, they are fundamentally different. A short occurs when the current flows through an unintended path, resulting in a sudden surge in current. In contrast, an open path is a break in its continuity, which stops the flow of current altogether. Both situations can cause problems in your system and should be addressed promptly.

Frequently Asked Questions

Can a short circuit happen in a GFCI outlet?

Yes. GFCIs protect against ground faults, but not all types of shorts. Breakers and fuses are still required.

How often should wiring be inspected?

Residential wiring should be inspected every 5–10 years, or immediately if signs of overheating or frequent breaker trips are observed.

What is the difference between a ground fault and a short circuit?

A ground fault involves current flowing into earth, while a short occurs between conductors. Both are hazardous.

Understanding shorts — their causes, detection, prevention, and associated risks — is crucial for safeguarding people and property. Regular inspections, proper protection, and adherence to codes all reduce hazards. If you suspect a short, act immediately and contact a qualified electrician.

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Electricity is the flow of electric charge, usually through a conductor like wire. It powers lights, appliances, and machines by converting energy into motion, heat, or light. Electricity can be generated from sources such as fossil fuels, wind, solar, or water.

What is electricity?

Electricity is a fundamental form of energy created by the movement of electrons.

✅ Powers homes, industries, and electronic devices

✅ Flows through circuits as an electric current

✅ Generated from renewable and non-renewable sources

The power we use is a secondary energy source because it is produced by converting primary energy sources such as coal, natural gas, nuclear, solar, and wind energy into electrical power. It is also referred to as an energy carrier, meaning it can be converted into other forms of energy, such as mechanical or thermal energy.

Primary energy sources are either renewable or nonrenewable, but our power is neither.

To understand why electrons move in the first place, start with voltage, the electrical “pressure” that pushes charge through every circuit.

Electricity Has Changed Everyday Life

Although most people rarely think about electricity, it has profoundly changed how we live. It is as essential as air or water, yet we tend to take it for granted—until it’s gone. Electricity powers heating and cooling systems, appliances, communications, entertainment, and modern conveniences that past generations never imagined.

Before widespread electrification began just over a century ago, homes were lit with candles or oil lamps, food was cooled with ice blocks, and heating was provided by wood- or coal-burning stoves.

The steady stream of electrons we use daily is explored in our primer on current electricity.

Discovering Electricity: From Curiosity to Power Grid

Scientists and inventors began unlocking the secrets of electricity as early as the 1600s. Over the next few centuries, their discoveries built the foundation for the electric age.

Benjamin Franklin demonstrated that lightning is a form of electricity.

Thomas Edison invented the first commercially viable incandescent light bulb.

Nikola Tesla pioneered the use of alternating current (AC), which enabled the efficient transmission of electricity over long distances. He also experimented with wireless electricity.

Curious why Tesla’s ideas beat Edison’s? Our article on alternating current breaks down the advantages of alternating current (AC) over direct current (DC).

Before Tesla’s innovations, arc lighting used direct current (DC) but was limited to outdoor and short-range applications. His work made it possible for electricity to be transmitted to homes and factories, revolutionizing lighting and industry.

Understanding Electric Charge and Current

Electricity is the movement of electrically charged particles, typically electrons. These particles can move either statically, as in a buildup of charge, or dynamically, as in a flowing current.

All matter is made of atoms, and each atom consists of a nucleus with positively charged protons and neutral neutrons, surrounded by negatively charged electrons. Usually, the number of protons and electrons is balanced. But when that balance is disturbed—when electrons are gained or lost—an electric current is formed as those electrons move.

For a step-by-step walkthrough of everything from circuits to safety, visit how electricity works.

Electricity as a Secondary Energy Source

Electricity doesn’t occur naturally in a usable form. It must be generated by converting other types of energy. In fact, electricity is a manufactured product. That’s why electricity is called a secondary energy source—it carries energy from its original form to where we need it.

We generate electricity by transforming mechanical energy—such as spinning a turbine—into electrical energy. This conversion happens at power plants that use a variety of fuels and methods:

• Fossil fuels (coal, oil, natural gas)

• Nuclear energy

• Renewable sources like wind, solar, and hydroelectric

If turbines, magnets, and power plants intrigue you, see how electricity is generated for a deeper dive.

How Electricity Was Brought Into Homes

Before electricity generation began on a mass scale, cities often developed near waterfalls, where water wheels powered mills and machines. The leap from mechanical energy to electrical energy enabled power to travel not just across a town, but across entire countries.

Beginning with Franklin’s experiments and followed by Edison’s breakthrough with indoor electric light, the practical uses of electricity expanded rapidly. Tesla’s AC power system made widespread electric distribution feasible, bringing light, heat, and industry to homes and cities worldwide.

How Transformers Changed Everything

To transmit electricity efficiently over long distances, George Westinghouse developed the transformer. This device adjusts the voltage of electrical power to match its purpose—high for long-range travel, low for safe use in homes.

Transformers made it possible to supply electricity to homes and businesses far from power plants. The electric grid became a coordinated system of generation, transmission, distribution, and regulation.

Even today, most of us rarely consider the complexity behind our wall sockets. But behind every outlet lies a vast infrastructure keeping electricity flowing safely and reliably.

How Is Electricity Generated?

Electric generators convert mechanical energy into electricity using the principles of magnetism. When a conductor—such as a coil of wire—moves through a magnetic field, an electric current is induced.

In large power stations, turbines spin magnets inside massive generators. These turbines are driven by steam, water, or wind. The rotating magnet induces small currents in the coils of wire, which combine into a single continuous flow of electric power.

Discover the principle that turns motion into power in electromagnetic induction, the heart of every modern generator.

Measuring Electricity

Electricity is measured in precise units. The amount of power being used or generated is expressed in watts (W), named after inventor James Watt.

• One watt is a small unit of power; 1,000 watts equal one kilowatt (kW).

• Energy use over time is measured in kilowatt-hours (kWh).

• A 100-watt bulb burning for 10 hours uses 1 kWh of electricity.

These units are what you see on your electric bill. They represent how much electricity you’ve consumed over time—and how much you’ll pay.

When it’s time to decode your energy bill, the chart in electrical units makes watts, volts, and amps clear.

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A watt-hour (Wh) is a unit of energy equal to using one watt of power for one hour. It measures how much electricity is consumed over time and is commonly used to track energy use on utility bills.

Understanding watt-hours is important because it links electrical power (watts) and time (hours) to show the total amount of energy used. To better understand the foundation of electrical energy, see our guide on What is Electricity?

Watt-Hour vs Watt: What's the Difference?

Although they sound similar, watts and watt-hours measure different concepts.

• Watt (W) measures the rate of energy use — how fast energy is being consumed at a given moment.

• Watt-hour (Wh) measures the amount of energy used over a period of time.

An easy way to understand this is by comparing it to driving a car:

• Speed (miles per hour) shows how fast you are travelling.

• Distance (miles) shows how far you have travelled in total.

Watt-hours represent the total energy consumption over a period, not just the instantaneous rate. You can also explore the relationship between electrical flow and circuits in What is an Electrical Circuit?

How Watt-Hours Are Calculated

Calculating watt-hours is straightforward. It involves multiplying the power rating of a device by the length of time it operates.
The basic formula is:

Energy (Wh) = Power (W) × Time (h)

This illustrates this relationship, showing how steady power over time yields a predictable amount of energy consumed, measured in watt-hours. For a deeper look at electrical power itself, see What is a Watt? Electricity Explained

Real-World Examples of Watt-Hour Consumption

To better understand how watt-hours work, it is helpful to examine simple examples. Different devices consume varying amounts of energy based on their wattage and the duration of their operation. Even small variations in usage time or power level can significantly affect total energy consumption.

Here are a few everyday examples to illustrate how watt-hours accumulate:

• A 60-watt lightbulb uses 60 watt-hours (Wh) when it runs for one hour.

• A 100-watt bulb uses 1 Wh in about 36 seconds.

• A 6-watt Christmas tree bulb would take 10 minutes to consume 1 Wh.

These examples demonstrate how devices with different power ratings achieve the same energy consumption when allowed to operate for sufficient periods. Measuring energy usage often involves calculating current and resistance, which you can learn more about in What is Electrical Resistance?

Understanding Energy Consumption Over Time

In many cases, devices don’t consume energy at a steady rate. Power use can change over time, rising and falling depending on the device’s function. Figure 2-6 provides two examples of devices that each consume exactly 1 watt-hour of energy but in different ways — one at a steady rate and one with variable consumption.

Here's how the two devices compare:

• Device A draws a constant 60 watts and uses 1 Wh of energy in exactly 1 minute.

• Device B starts at 0 watts and increases its power draw linearly up to 100 watts, still consuming exactly 1 Wh of energy in total.

For Device B, the energy consumed is determined by finding the area under the curve in the power vs time graph.
Since the shape is a triangle, the area is calculated as:

Area = ½ × base × height

In this case:

• Base = 0.02 hours (72 seconds)

• Height = 100 watts

• Energy = ½ × 100 × 0.02 = 1 Wh

This highlights an important principle: even when a device's power draw varies, you can still calculate total energy usage accurately by analyzing the total area under its power curve.

It’s also critical to remember that for watt-hours, you must multiply watts by hours. Using minutes or seconds without converting will result in incorrect units.

Fig. 2-6. Two hypothetical devices that consume 1 Wh of energy.

Measuring Household Energy Usage

While it’s easy to calculate energy consumption for a single device, it becomes more complex when considering an entire household's energy profile over a day.
Homes have highly variable power consumption patterns, influenced by activities like cooking, heating, and running appliances at different times.

Figure 2-7 shows an example of a typical home’s power usage throughout a 24-hour period. The curve rises and falls based on when devices are active, and the shape can be quite complex. Saving energy at home starts with understanding how devices consume power; see How to Save Electricity

Instead of manually calculating the area under such an irregular curve to find the total watt-hours used, electric utilities rely on electric meters. These devices continuously record cumulative energy consumption in kilowatt-hours (kWh).

Each month, the utility company reads the meter, subtracts the previous reading, and bills the customer for the total energy consumed.
This system enables accurate tracking of energy use without the need for complex mathematical calculations.

Fig. 2-7. Graph showing the amount of power consumed by a hypothetical household, as a function of the time of day.

Watt-Hours vs Kilowatt-Hours

Both watt-hours and kilowatt-hours measure the same thing — total energy used — but kilowatt-hours are simply a larger unit for convenience. In daily life, we usually deal with thousands of watt-hours, making kilowatt-hours more practical.

Here’s the relationship:

• 1 kilowatt-hour (kWh) = 1,000 watt-hours (Wh)

To see how this applies, consider a common household appliance:

• A refrigerator operating at 150 watts for 24 hours consumes:

  • 150 W × 24 h = 3,600 Wh = 3.6 kWh

Understanding the connection between watt-hours and kilowatt-hours is helpful when reviewing your utility bill or managing your overall energy usage.

Watt-hours are essential for understanding total energy consumption. Whether power usage is steady or variable, calculating watt-hours provides a consistent and accurate measure of energy used over time.
Real-world examples — from simple light bulbs to complex household systems — demonstrate that, regardless of the situation, watt-hours provide a clear way to track and manage electricity usage. 

By knowing how to measure and interpret watt-hours and kilowatt-hours, you can make more informed decisions about energy consumption, efficiency, and cost savings. For a broader understanding of how energy ties into everyday systems, visit What is Energy? Electricity Explained

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Electromagnetism is the branch of physics that studies the interaction between electric currents and magnetic fields. It explains how electricity generates magnetism and powers devices such as motors, generators, and transformers in modern electrical systems.

How Should We Define Electromagnetism?

Here's a good way to define electromagnetism: Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

✅ Explains the relationship between electricity and magnetism

✅ Governs the operation of motors, generators, and transformers

✅ Forms the basis for electromagnetic waves like light and radio

The electromagnetic force is carried by electromagnetic fields, which are composed of electric fields and magnetic fields, and it is responsible for electromagnetic radiation, such as light.

Who Discovered Electromagnetism?

In 1820, the Danish physicist, Hans Christian Oersted, discovered that the needle of a compass brought near a current-carrying conductor would be deflected. When the current flow stopped, the compass needle returned to its original position. This important discovery demonstrated a relationship between electricity and magnetism that led to the development of the electromagnet and to many of the inventions on which modern industry is based.

Oersted discovered that the magnetic field had no connection with the conductor in which the electrons were flowing, because the conductor was made of nonmagnetic copper. The electrons moving through the wire created the magnetic field around the conductor. Since a magnetic field accompanies a charged particle, the greater the current flow, the greater the magnetic field. Figure 1 illustrates the magnetic field around a current-carrying wire. A series of concentric circles around the conductor represents the field, which, if all the lines were shown, would appear more as a continuous cylinder of such circles around the conductor.

Fig. 1 - Magnetic field formed around a conductor in which current is flowing.

As long as current flows in the conductor, the lines of force remain around it. [Figure 2] If a small current flows through the conductor, there will be a line of force extending out to circle A. If the current flow is increased, the line of force will increase in size to circle B, and a further increase in current will expand it to circle C. As the original line (circle) of force expands from circle A to B, a new line of force will appear at circle A. As the current flow increases, the number of circles of force increases, expanding the outer circles farther from the surface of the current-carrying conductor.

Fig. 2 - Expansion of magnetic field as current increases.

If the current flow is a steady, nonvarying direct current, the magnetic field remains stationary. When the current stops, the magnetic field collapses, and the magnetism around the conductor disappears.

A compass needle is used to demonstrate the direction of the magnetic field around a current-carrying conductor. Figure 3 View A shows a compass needle positioned at right angles to, and approximately one inch from, a current-carrying conductor. If no current were flowing, the north-seeking end of the compass needle would point toward the Earth’s magnetic pole. When current flows, the needle lines itself up at right angles to a radius drawn from the conductor. Since the compass needle is a small magnet, with lines of force extending from south to north inside the metal, it will turn until the direction of these lines agrees with the direction of the lines of force around the conductor. As the compass needle is moved around the conductor, it will maintain itself in a position at right angles to the conductor, indicating that the magnetic field around a current-carrying conductor is circular. As shown in View B of Figure 3, when the direction of current flow through the conductor is reversed, the compass needle points in the opposite direction, indicating that the magnetic field has reversed its direction.

Fig.3 - Magnetic field around a current-carrying conductor.

A method for determining the direction of the lines of force when the direction of current flow is known is illustrated in Figure 4. If the conductor is grasped in the left hand, with the thumb pointing in the direction of current flow, the fingers will be wrapped around the conductor in the same direction as the lines of the magnetic field. This is called the left-hand rule.

Fig.4 - Left-hand rule.

Although it has been stated that the lines of force have direction, this should not be construed to mean that the lines have motion in a circular direction around the conductor. Although the lines of force tend to act in a clockwise or counterclockwise direction, they are not revolving around the conductor.

Since current flows from negative to positive, many illustrations indicate the current direction with a dot symbol on the end of the conductor when the electrons are flowing toward the observer and a plus sign when the current is flowing away from the observer. [Figure 5]

Fig. 5 - Direction of current flow in a conductor.

When a wire is bent into a loop and an electric current flows through it, the left-hand rule remains valid. [Figure 6]

Fig. 6 - Magnetic field around a looped conductor.

If the wire is coiled into two loops, many of the lines of force become large enough to include both loops. Lines of force go through the loops in the same direction, circle around the outside of the two coils, and come in at the opposite end. [Figure 7]

Fig. 7 - Magnetic field around a conductor with two loops.

When a wire contains many such loops, it is referred to as a coil. The lines of force form a pattern through all the loops, causing a high concentration of flux lines through the center of the coil. [Figure 8]

Fig. 8 - Magnetic field of a coil.

In a coil made from loops of a conductor, many of the lines of force are dissipated between the loops of the coil. By placing a soft iron bar inside the coil, the lines of force will be concentrated in the center of the coil, since soft iron has a greater permeability than air. [Figure 9] This combination of an iron core in a coil of wire loops, or turns, is called an electromagnet, since the poles (ends) of the coil possess the characteristics of a bar magnet.

Fig. 9 - Electromagnet.

The addition of the soft iron core does two things for the current-carrying coil. First, the magnetic flux increases, and second, the flux lines become more concentrated.

When direct current flows through the coil, the core becomes magnetized with the same polarity (north and south poles) as the coil would have without the core. If the current is reversed, the polarity will also be reversed.

The polarity of the electromagnet is determined by the left-hand rule in the same manner as the polarity of the coil without the core was determined. If the coil is grasped in the left hand in such a manner that the fingers curve around the coil in the direction of electron flow (minus to plus), the thumb will point in the direction of the north pole. [Figure 10]

Fig. 10 - Left-hand rule applied to a coil.

The strength of the magnetic field of the electromagnet can be increased by either increasing the flow of current or the number of loops in the wire. Doubling the current flow approximately doubles the strength of the field, and similarly, doubling the number of loops approximately doubles the magnetic field strength. Finally, the type of metal in the core is a factor in the field strength of the electromagnet.

A soft iron bar is attracted to either pole of a permanent magnet and, likewise, is attracted by a current-carrying coil. The lines of force extend through the soft iron, magnetizing it by induction and pulling the iron bar toward the coil. If the bar is free to move, it will be drawn into the coil to a position near the center where the field is strongest. [Figure 10-35]

Fig. 11 - Solenoid with iron core.

Electromagnets are utilized in various electrical instruments, including motors, generators, relays, and other devices. Some electromagnetic devices operate on the principle that an iron core, held away from the center of a coil, will be rapidly pulled into its center position when the coil is energized. This principle is utilized in the solenoid, also known as a solenoid switch or relay, where the iron core is spring-loaded off-center and moves to complete a circuit when the coil is energized. 

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Capacitance is the ability of a component to store electrical charge between plates separated by insulation, measured in farads. It is vital in circuits, electronics, and energy storage for voltage regulation, stability, and efficient power system performance.

What is Capacitance?

Capacitance is a fundamental concept in electrical engineering and physics, describing a system's ability to store energy in the form of an electrical charge.

✅ Measures the ability to store electric charge in a circuit

✅ Essential in filtering, timing, and power conditioning

✅ Found in capacitors used in electronics, motors, and power supplies

Capacitance (C = Q / V) measures the amount of electric charge (Q) a system stores per volt (V); unit: farad (F).

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Capacitance is the property of a system that allows it to store electric charge when a voltage, or electric potential difference, is applied across its terminals. This stored charge represents the system’s charge storage capacity, which is directly proportional to the capacitance value and the applied voltage. In alternating current (AC) circuits, capacitors do not pass current in the same way resistors do; instead, they oppose changes in voltage through a phenomenon known as capacitive reactance. This reactance decreases as the frequency of the AC signal increases, making capacitors essential in filtering, tuning, and timing applications. To understand how stored charge behaves across voltage differences, refer to our guide on capacitive load, which explores how capacitors affect AC circuits. For a detailed breakdown of how capacitance is measured, check out the unit of capacitance to understand farads and their practical conversions.

What Determines Capacitance?

The capacitance of a capacitor is determined by its geometry and the properties of the dielectric material between the conductive plates. The unit of capacitance is the farad, which can be measured in farads. Capacitors are often rated in microfarads (μF) or picofarads (pF), depending on their size and intended use.  For the basics of components that store electrical energy, see what is a capacitor to learn how these devices function and their role in circuits.

Learn how stored charge relates to apparent and real power in AC systems by visiting our apparent power vs real power comparison.

When a capacitor is connected to a voltage source, it charges, storing energy as an electrical field between its conductive plates. The amount of energy stored in a capacitor is proportional to its capacitance and the square of the voltage across it. When the voltage source is removed, the capacitor will slowly discharge, releasing the stored energy as an electrical current. Capacitance is also central to power factor optimization—discover how this works with an automatic power factor controller.

RC Circuits: The Role of Capacitance in Charging

A capacitor's charging and discharging behaviour is determined by its capacitance and the properties of the surrounding circuit. For example, in a simple circuit with a resistor and a capacitor, the capacitor will charge up rapidly when first connected to a voltage source. Still, it will then discharge slowly over time as the energy stored in the capacitor is dissipated through the resistor. The time constant of the circuit, which describes the rate at which the capacitor charges and discharges, is determined by the product of the resistance and capacitance of the circuit.

Capacitors are used in various electronic applications, from filtering noise in power supplies to storing energy in flash memory. The capacitance of a capacitor can be tuned by selecting different dielectric materials, changing the geometry of the conductive plates, or adding additional plates in parallel. To explore how capacitors behave when connected end-to-end, visit capacitance in series, which explains the reciprocal formula and voltage behavior.

Dielectric Materials and Their Effect on Capacitance

Dielectric materials are crucial to the operation of capacitors, as they serve as insulators between the conductive plates. The dielectric constant of a material describes its ability to store electrical energy and is a key parameter in determining the capacitance of a capacitor. Dielectric materials can be solid, such as ceramics or plastics, or liquid, such as electrolytes.

Capacitors can store energy in various forms, from high-voltage electrical energy in power supplies to low-voltage electrical energy in portable electronic devices. The energy stored in a capacitor can provide a quick burst of power to a circuit or smooth out variations in a power supply. If you're curious about how capacitors add their values in parallel, the capacitance in parallel page illustrates how capacitances sum directly, enhancing energy storage.

How Capacitance Compares to Resistance and Inductance

Resistance slows down the transfer rate of charge carriers (usually electrons) by "brute force." In this process, some energy is invariably converted from electrical form to heat. Resistance is said to consume power for this reason. Resistance is pre­sent in DC as well as in AC circuits and works the same way for either direct or alternat­ing current. Capacitor performance depends on safe voltage levels; our page on capacitor voltage rating explains these limits in detail.

Inductance impedes the flow of AC charge carriers by temporarily storing the en­ergy as a magnetic field. However, this energy is eventually replenished. For high-capacitance setups in electrical systems, see how banks of capacitors are configured in our capacitor bank overview.

Capacitance impedes the flow of AC charge carriers by temporarily storing the energy as an electric potential field. This energy is given back later, just as it is in an inductor. Capacitance is not generally necessary in pure-DC cir­cuits. However, it can have significance in circuits where DC is pulsating and not steady. If you're studying how capacitance affects reactive energy, visit our breakdown of reactive power formula in electrical circuits.

Capacitance in AC Circuits and Frequency Response

Capacitance, like inductance, can appear unexpectedly or unintentionally. As with inductance, this effect becomes more evident as the ac frequency increases.

Capacitance in electric circuits is deliberately introduced by a device called a capacitor. It was discovered by the Prussian scientist Ewald Georg von Kleist in 1745 and independently by the Dutch physicist Pieter van Musschenbroek at about the same time while investigating electrostatic phenomena. They discovered that electricity generated by an electrostatic machine could be stored for a period and then released. The device, which came to be known as the Leyden jar, consisted of a stoppered glass vial or jar filled with water, with a nail piercing the stopper and dipping into the water. By holding the jar in hand and touching the nail to the conductor of an electrostatic machine, they found that a shock could be obtained from the nail after disconnecting it by touching it with the free hand.

This reaction showed that some of the electricity from the machine had been stored. A simple but fundamental step in the evolution of the capacitor was taken by the English astronomer John Bevis in 1747 when he replaced the water with metal foil, forming a lining on the inside surface of the glass and another covering the outside surface. The interaction of capacitance and system reactance is a key part of understanding power quality, as explained on our reactor reactance in power systems page.

A Visual Thought Experiment: Capacitance Between Metal Plates

Imagine two very large, flat sheets of metal, such as copper or aluminum, that are ex­cellent electrical conductors. Suppose they are each the size of the state of Nebraska and are placed one on top of the other, separated by just a foot of space. What will happen if these two sheets of metal are connected to the terminals of a battery, as shown in Fig. 11-1?

Fig. 11-1. Two plates will become charged electrically, one positively and the other nega­tively.

The two plates will become charged electrically, one positively and the other nega­tively. You might think this would take a little while because the sheets are so big. However, this is a reasonable assumption.

If the plates were small, they would both become charged almost instantly, attaining a relative voltage equal to the battery's voltage. But because the plates are gigantic, it will take a while for the negative one to "fill up" with electrons, and it will take an equal amount of time for the other one to get electrons "sucked out." Finally, however, the volt­age between the two plates will be equal to the battery voltage, and an electric field will exist in the space between the plates.

This electric field will be small at first; the plates don't charge immediately. However, the negative charge and the positive charge will increase over time, depending on the size of the plates and the distance between them. Figure 11-2 is a relative graph showing the in­tensity of the electric field between the plates as a function of time elapsed since the plates are connected to the battery terminals.

Fig. 11-2. Relative electric field intensity, as a function of time, between two metal plates connected to a voltage source. 

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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.