Electrical Short Circuit

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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A ground fault occurs when electrical current unintentionally flows to the ground, often through a person or conductive surface. It poses serious shock and fire hazards and typically results from damaged wiring, insulation failure, or water intrusion in electrical systems.

What is a Ground Fault?

A ground fault is a potentially hazardous electrical event when an unintended electrical path forms between a live electrical conductor and a grounded surface.

✅ Occurs when electrical current flows to ground through an unintended path

✅ Commonly caused by damaged wires, insulation failure, or moisture

✅ Increases the risk of electrical shock and equipment failure

The flow of current through this unintended path, also known as earth leakage, can cause serious electrical shock hazards and damage to electrical systems. Let's examine the causes, dangers, and preventive measures associated with ground faults. Proper electrical grounding is essential to prevent ground faults, as it ensures that stray currents are safely diverted into the earth. 

There are common causes of ground faults. A ground fault occurs because of several factors, including damaged insulation, incorrect wiring, or moisture in the electrical system. Damaged insulation, for example, can expose the conductor of electricity, allowing it to come into contact with a grounded surface. Additionally, moisture can create a conductive path between live conductors and the earth, thereby increasing the risk. Moisture intrusion and damaged insulation can cause faults similar to arc faults, which are discussed further in our power quality troubleshooting resource.

One of the primary dangers associated with ground faults is the risk of electrical shock. When one occurs, it can create a path to the earth through a person, leading to serious injury or even death. Additionally, they can cause overheating, sparking, and fires in electrical systems, posing a significant risk to property and life.

Ground fault circuit interrupters (GFCIs) are essential devices designed to mitigate the risks associated with ground faults. GFCIs constantly monitor the flow of electrical current between the hot wire and the neutral wire. If an imbalance is detected, the GFCI quickly cuts power to the electrical circuit, preventing electrical shock and minimizing potential damage. GFCI outlets are commonly installed in areas where water is present, such as kitchens, bathrooms, and outdoor spaces, as these locations have a higher risk of ground faults. A grounding system should be regularly inspected to minimize the risk of fire and shock caused by unintentional current paths.

Preventing Ground Faults

Preventing and minimizing ground faults involves several steps. First, proper electrical grounding is critical in reducing the risk. A grounding wire connected to the electrical box creates a path for fault current to flow safely to the earth, reducing the likelihood of electrical shock. Regular inspection and maintenance of electrical systems can also help identify potential issues, such as damaged insulation or incorrect wiring, before they lead to ground faults. Additionally, using GFCI-protected outlets and circuit breakers in high-risk areas can help prevent ground faults and protect against shock hazards.

Understanding the differences between ground faults, short circuits, and arc faults is important, as they are all distinct electrical events with unique risks and causes. A short circuit occurs when a live conductor comes into contact with a neutral or grounded conductor, resulting in a sudden surge of current. This can lead to overheating, fires, or damage to electrical equipment. On the other hand, arc faults occur when an electrical arc forms between conductors, often due to damaged or frayed wiring. Arc faults can generate excessive heat and pose a fire risk.

Identifying one in an electrical system can be accomplished through visual inspection, testing, or the use of specialized equipment. For example, signs of a ground fault may include tripped GFCI outlets or circuit breakers, flickering lights, or a burning smell near electrical equipment. Additionally, testing outlets with a ground fault circuit interrupter tester or a multimeter can help determine if a ground fault is present.

Grounding is crucial in preventing ground faults and protecting against electrical shock. By providing a safe path for fault current to flow, earthing helps minimize the risk of injury and damage to electrical systems. Proper earthing involves connecting all electrical equipment, including outlets, switches, and metal boxes, to a grounding wire connected to the earth. This connection helps ensure that unintended electrical paths, such as those caused by ground faults, are safely grounded.

Understanding Ground Faults

Understanding what a ground fault is and how to prevent it is essential for ensuring electrical safety in residential and commercial settings. Proper earthing, regular inspection and maintenance of electrical systems, and the use of GFCI-protected outlets and circuit breakers are all crucial measures in reducing the risk of electrical hazards. By being aware of the dangers associated with ground faults and taking proactive steps to address them, we can help protect our homes, businesses, and loved ones from electrical hazards.

In addition to the precautions mentioned above, it's essential to exercise caution when using power tools and appliances. Many incidents occur when using power tools in damp environments. Always ensure that power tools are in good working condition, with no frayed cords or damaged insulation. Use GFCI-protected outlets or extension cords when operating them in potentially hazardous conditions.

Moreover, educating yourself and those around you about electrical safety is crucial. Understanding the risks associated with ground faults and knowing how to respond in an electrical emergency can save lives. Regularly reviewing safety procedures and ensuring that everyone in your home or workplace knows how to use GFCI outlets and reset buttons. Circuit breakers can significantly reduce the risk of injury or property damage.

Finally, don't hesitate to consult a licensed electrician if you suspect or encounter any electrical issues. Professional electricians have the knowledge and tools to diagnose and repair electrical problems safely and effectively. Attempting to resolve electrical issues without proper training can be dangerous and may lead to further complications.

By adopting a comprehensive approach to electrical safety, we can minimize risks and create a safer environment for ourselves and our communities. Awareness, preventive measures, and education are crucial in reducing the incidence of injuries and ensuring the well-being of everyone interacting with electrical systems.

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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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Current electricity is the flow of electric charge through a conductor, usually as moving electrons. It powers devices in homes and industries. Driven by voltage, this flow enables the transfer of energy through wires, forming the basis of modern electrical systems.

What is Current Electricity?

Current electricity refers to the continuous movement of electric charges (typically electrons) through a conductor, driven by an electromotive force (EMF), or voltage.

✅ Describes the movement of electric charge through a conductor

✅ Powers electrical devices in homes, industries, and electronics

✅ Exists as direct current (DC) or alternating current (AC)

Current is defined as an electrical charge in motion. It consists of a flow of negatively charged electrons from atom to atom through a conductor in an electrical circuit. The external force that causes the electron current flow of electric charge is called the electromotive force (emf) or voltage.

When charges move through these wires, they generate different forms of energy, which can power devices and systems. One common type of current is alternating current (AC), where the direction of the charge flow periodically reverses. This movement of charges can be compared to water flowing through a pipe, where the electrical potential pushes the flow, making it essential for transporting energy efficiently across distances.

The Quantitative Definition

Electric current is defined as the rate of flow of electric charge:

I = Q / t

Where:

• I is current in amperes (A)

• Q is charge in coulombs (C)

• t is time in seconds (s)

For example, a current of 1 ampere means 1 coulomb of charge flows per second through a given point in the circuit.

Types of Current: AC and DC

• Direct Current (DC): Charge flows in one constant direction. Example: Batteries.

• Alternating Current (AC): Charge reverses direction periodically. Example: Household wall outlets (typically 60 Hz in North America).

How Current Electricity Works

Electric current arises when free electrons move through a conductor. In metals, these electrons are loosely bound and can drift when a voltage is applied. This movement is like water flowing through a pipe — voltage acts as the pressure that pushes the electrons along.

Voltage sources such as batteries or generators create this pressure, known as electromotive force (emf). The electrons flow from the negative terminal (excess electrons) toward the positive terminal (electron deficiency).

Effects of Electric Current

Electric current produces multiple observable effects:

• Magnetic effect: Current creates magnetic fields (used in motors and transformers).

• Thermal effect: Electric current generates heat (used in heaters and toasters).

• Chemical effect: In electrolysis, current causes chemical reactions.

These effects make current electricity essential for thousands of real-world applications.

Ohm’s Law and Resistance

Ohm’s Law defines the relationship between voltage (V), current (I), and resistance (R):

V = I × R

Where:

• V is voltage in volts

• I is current in amperes

• R is resistance in ohms (Ω)

This relationship helps calculate circuit behavior and select the right components for safe and effective electrical design.

Measuring Current

Current is measured using devices such as:

• Ammeter: Installed in series with a circuit to measure current directly.

• Clamp meter: Measures current without disconnecting wires, using magnetic field sensing.

• Multimeter: A general-purpose tool that can measure voltage, resistance, and current.

Real-World Applications

Current electricity is present in virtually every aspect of modern life:

• Lighting systems

• Household appliances

• Industrial machinery

• Electric vehicles

• Cell phones and computers

• Medical equipment

• Power grids and transmission lines

It also flows in biological systems, such as ion currents in nerve cells and plasma currents in scientific and industrial applications.

Static vs. Current Electricity

Although both involve electric charges, static electricity refers to charges at rest, whereas current electricity refers to the motion of those charges. Static electricity may build up and discharge suddenly, but only current electricity performs continuous work, such as powering a device or generating heat.

Frequently Asked Questions

What is an example?

Examples of current electricity are starting a car, turning on a light, cooking on an electric stove, watching TV, shaving with an electric razor, playing video games, using a phone, charging a cell phone and more. 

Is current and electricity the same?

Current is a general characteristic of alternating current AC, like voltage and resistance. It's a name given to the flow of electrons (charge) through a medium. Electricity is a generic term used to describe the common flow of energy that powers all electrical devices. Current, in general, refers to any flow.

What are the two types of current electricity?

There are two different types of current in widespread use today. They are direct current, abbreviated DC, and alternating current, which is abbreviated AC. In a direct current, the electrons flow in one direction.

The electromotive force (emf) or voltage, as explained by Ohm's law, is created by a battery that consists of one positively charged and one negatively charged terminal. The negative terminal has an excess of electrons, while the positive terminal has a deficiency of electrons. When a conductor, in this case an electric light bulb, is connected to the two terminals of the battery, a flow of electrons occurs, producing both magnetic fields and an electric field. The positive terminal of the battery has a shortage of electrons and thus attracts electrons from the conductor. The negative terminal has an excess of free electrons to move, which repels electrons into the conductor.

Although "static" and "current" may seem different, they are really the same—both consist of electrical charges. Static electricity consists of electrons at rest on an insulated object and does little work. CE charge flows and does useful work. When static electricity is discharged, it is no longer static electricity — it is actually current electricity.

CE may also be classified as either direct current (DC) or alternating current (AC) based on the voltage source. Direct current voltage produces a constant flow of electrons in one direction only. Alternating current voltage produces a flow of positive and negative charge electrons in both directions, with varying magnitude. A battery is a common DC voltage source, while an electrical wall outlet is the most common AC voltage source (Figure 1).

Polarity identification (+ or -) and magnetic fields are one way to distinguish between a voltage source and a current source. Polarity can be identified on direct current circuits, but in alternating current circuits, the current continuously reverses direction; therefore, polarity cannot be identified. Additionally, it is essential to determine whether an electrical energy source generates alternating current or direct current. Many control and load components are designed to operate with a specific type of current. Operating the components with the wrong type of current or DC polarity can result in improper operation and/or permanent damage to the component.

Fig. 1. Current Electricity. Electrical charges moves.

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The unit of capacitance is the farad (F), which measures the amount of electric charge a capacitor stores per volt. Typically expressed in microfarads, nanofarads, or picofarads, it is essential in electronics, circuit design, and energy storage systems.

What is a Unit of Capacitance?

The unit of capacitance, the farad (F), measures the amount of electric charge a capacitor can store per volt. It is crucial to understand the function of capacitors in electronics, circuits, and energy storage technologies.

✅ 1 farad equals 1 coulomb per volt

✅ Common values include microfarads, nanofarads, and picofarads

✅ Used in electronics, circuits, power systems, and capacitor design

It is determined by the electrical charge, which is symbolized by the letter Q, and is measured in units of coulombs. Discover how capacitance interacts with other electrical quantities and gain a deeper understanding of its role in circuit design and performance. The coulomb is given by the letter C, as with capacitance. Unfortunately, this can be confusing. One coulomb of charge is defined as a charge equivalent to 6.28 × 10^18 electrons. The basic unit is the farad, denoted by the letter F. By definition, one farad is the amount of charge stored on a capacitor when one volt is applied across its plates. The general formula for capacitance in terms of charge and voltage is:

Understanding the Unit of Electric Capacitance

The unit of electric capacitance explains how a capacitor functions as a body to store an electrical charge. This is achieved through two conductive plates, which form the essential structure of a parallel plate capacitor. These plates are separated by an insulating material, known as the dielectric, which prevents direct current flow while allowing the device to store energy.

A capacitor is a widely used electronic component, and it belongs to the class of passive electronic components since it does not generate energy but only stores it temporarily. The concept of capacitance was first defined by the English physicist Michael Faraday, whose pioneering work in electromagnetism laid the foundation of electrical science. Historical records place Michael Faraday 1791 1867 as one of the most influential figures in this field.

In modern practice, capacitance is measured in the SI base units of the farad (F). Because a farad is large, smaller units such as the nanofarad nF are commonly used to describe practical capacitors found in circuits. Whether measured in farads, microfarads, or nanofarads, the unit of electric capacitance remains the standard way of expressing a capacitor’s ability to store charge for reliable operation in electronic systems.

Farad in Practical Use

In practical terms, one farad is a large amount of capacitance. Typically, in electronics, much smaller units are used. The two more common smaller units are the microfarad (μF), which is 10^-6 farad, and the picofarad (pF), which is 10^-12 farad. To better understand the core principles behind charge and voltage, see our overview on what is a capacitor, which explains how capacitance functions in practical circuits.

Voltage Rating of a Capacitor: Capacitors have limits on the voltage that can be applied across their plates. The aircraft technician must be aware of the voltage rating, which specifies the maximum DC voltage that can be applied without risking damage to the device. This voltage rating is typically referred to as the breakdown voltage, working voltage, or simply the voltage rating. If the voltage applied across the plates is too great, the dielectric will break down, and arcing will occur between the plates. The capacitor is then short-circuited, and the possible flow of direct current through it can cause damage to other parts of the equipment. For foundational knowledge that supports capacitance calculations, our what is voltage article defines the relationship between electric potential and stored charge.

A capacitor that can be safely charged to 500 volts DC cannot be safely subjected to AC or pulsating DC whose effective values are 500 volts. An alternating voltage of 500 volts (RMS) has a peak voltage of 707 volts, and a capacitor to which it is applied should have a working voltage of at least 750 volts. The capacitor should be selected so that its working voltage is at least 50 percent greater than the highest voltage to be applied. Learn about different types of components that influence total capacitance by reading our guide on types of capacitors, which compares materials, ratings, and applications.

Smaller Units of Capacitance

The voltage rating of the capacitor is a factor in determining the actual capacitance, as capacitance decreases with increasing dielectric thickness. A high-voltage capacitor with a thick dielectric must have a larger plate area to achieve the same capacitance as a similar low-voltage capacitor with a thin dielectric.

Table 1 – Dielectric Strength of Common Materials

Factors Affecting A Unit of Capacitance

1. The capacitance of parallel plates is directly proportional to the area of the plates. A larger plate area produces a larger capacitance, and a smaller area produces less capacitance. If we double the area of the plates, there is room for twice as much charge. The charge that a capacitor can hold at a given potential difference is doubled, and since C = Q/E, the capacitance is doubled.

2. The capacitance of parallel plates is inversely proportional to the spacing between them.

3. The dielectric material affects the capacitance of parallel plates. The dielectric constant of a vacuum is defined as 1, and that of air is very close to 1. These values are used as a reference, and all other materials have values specified in relation to air (vacuum).

The strength of some commonly used dielectric materials is listed in Table 1. The voltage rating also depends on frequency, as the losses and resultant heating effect increase with higher frequencies. Discover how capacitance fits into the broader context of energy flow in circuits by visiting our what is electrical resistance page, offering insights on resistance and its effect on voltage and current.

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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.