
Electric potential, also known as electric field potential or electrostatic potential, is defined as the electric potential energy per unit of electric charge. It is the amount of work required to move a unit charge from a reference point, usually the Earth, to a specific point in a static electric field. The SI unit of electric potential is the volt (V), which is derived from joules per coulomb (J/C). This unit is named in honour of Alessandro Volta, and the electric potential difference between two points in space is known as voltage.
| Characteristics | Values |
|---|---|
| Definition | Electric potential is defined as electric potential energy per unit of electric charge. |
| Formula | The formula for electric potential is given as \(W = F'd = -qEd\) |
| Unit | The SI unit of electric potential is volt (V). |
| Calculation | Electric potential can be calculated in either a static (time-invariant) or a dynamic (time-varying) electric field at a specific time. |
| Reference Point | The reference point is typically Earth, but any point beyond the influence of the electric field charge can be used. |
| Electric Potential at Reference Point | The electric potential at the reference point is zero units. |
| Electric Potential at Infinity | The electric potential at infinity is assumed to be zero. |
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What You'll Learn

Electric potential energy per unit charge
The electric potential is calculated by dividing the electric potential energy by the charge on the particle, resulting in a value with the unit joules per coulomb (J/C) or volt (V). This calculation can be performed for both static (time-invariant) and dynamic (time-varying) electric fields. The electric potential at the reference point is defined as zero units.
The electric potential is a continuous function in all space, except at the location of an idealized point charge. It is important to distinguish electric potential from voltage, which is the potential difference or energy per unit charge. While a motorcycle battery and a car battery may have the same voltage, the car battery can store and move more charge, demonstrating that voltage does not equate to energy.
The electric potential is a scalar quantity denoted by V or φ, representing the electric potential energy of any charged particle. The change in electric potential energy (∆U) is crucial, and the electric potential difference between two points, V_B - V_A, is defined as the change in potential energy of a charge q moved between those points.
In summary, electric potential energy per unit charge, or electric potential, is a critical concept in electrical engineering and physics. It helps us understand the behaviour of charged particles in electric fields and facilitates the calculation of the work required to move charges within these fields.
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Electric potential difference
Electric potential, also known as electric field potential or potential drop, is defined as electric potential energy per unit of electric charge. It is the amount of work needed to move a unit charge from a reference point to a specific point against an electric field. The reference point is usually the Earth, but it can be any point beyond the influence of the electric field charge.
The SI unit of electric potential is the volt (V), named after Alessandro Volta. One volt is equal to one joule of energy used by one coulomb of charge when it flows between two points in a circuit. Voltmeters are used to measure potential difference (voltage) between two points in a circuit.
Potential difference is also referred to as voltage, but it is important to distinguish it from electrical potential energy. Voltage is the energy per unit charge, so two batteries can have the same voltage but differ in the amount of energy they can store.
The electric potential difference between two points, A and B, is defined as the change in potential energy of a charge moved from A to B, divided by the charge. In other words, the work done in moving a unit charge from one point to another is equal to the difference in potential energies at each point.
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Electric potential at infinity
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is defined as the electric potential energy per unit of electric charge. In other words, it is the amount of work required to move a test charge from a reference point to a specific point in a static electric field. The reference point is typically Earth or a point at infinity, but any point can be used.
The SI derived unit of electric potential is the volt, denoted as V, in honour of Alessandro Volta. The unit joules per coulomb (J/C) is also used, which is equivalent to a volt.
The electric potential at infinity is assumed to be zero. This assumption is made because the electric potential at the reference point is defined as zero units, and infinity is often used as the reference point.
It is important to note that the electric potential is continuous across an idealized surface charge. Although the electric field may not be continuous across such a charge, it does not reach infinity at any point. Therefore, the electric potential remains continuous.
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Electric potential in electrodynamics
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is a fundamental concept in electrodynamics. It is defined as the electric potential energy per unit of electric charge. In other words, it represents the amount of work required to move a unit charge from a reference point to a specific point within an electric field. This reference point is typically Earth or a location at infinity, but any point can be chosen as long as it is outside the influence of the electric field charge.
The electric potential at the reference point is defined as zero units. When a positive charge is moved against an electric field, its potential energy increases, while its potential energy decreases when it moves with the electric field. The opposite is true for a negative charge. The electric field is a vector quantity, and its gradient represents the electrostatic potential, which is a scalar quantity denoted by V or φ.
In electrodynamics, when dealing with time-varying fields, the electric field cannot be expressed solely as a scalar potential. Instead, it is described using both the scalar electric potential and the magnetic vector potential. Together, these two potentials form a four-vector, and they are interconnected under Lorentz transformations. The electric potential is a continuous function throughout space, and it plays a crucial role in understanding electrical phenomena.
The SI unit of electric potential is the volt, denoted as V, in honour of Alessandro Volta. The voltmeter is an instrument used to measure the potential difference between two points in space, and the quantity it measures is known as the voltage. The volt represents the amount of work done to move a unit charge between two points, capturing the difference in potential energy at each location.
In summary, electric potential in electrodynamics pertains to the electric potential energy per unit charge at different points within an electric field. It helps us understand the work required to move charges and the resulting changes in potential energy. The volt is the standard unit of measurement for electric potential, facilitating our comprehension of electrical systems and their behaviour.
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Electric potential in voltaic cells
Electric potential, also known as electric field potential or potential drop, is defined as electric potential energy per unit of electric charge. It is the amount of work required to move a test charge from a reference point to a specific point in a static electric field. The reference point is usually the Earth, but any point beyond the influence of the electric field charge can be used. The unit of electric potential in the International System of Units (SI) is the volt (V), in honour of Alessandro Volta.
Electric potential is closely related to voltaic cells, also known as electrochemical cells. A voltaic cell consists of two half-cells, separated by a salt bridge, which contain different substances in different phases. One half-cell undergoes oxidation, where a substance loses electrons and becomes positively charged, while the other half-cell undergoes reduction, where a substance gains electrons and becomes negatively charged. This transfer of electrons from one half-cell to the other creates a potential difference between the two half-cells, which can be measured as voltage.
The voltage or cell potential of a voltaic cell can be determined using a voltmeter, which measures the potential difference between the two half-cells. This potential difference is caused by the ability of electrons to flow from one half-cell to the other. The higher the voltage, the greater the movement of electrons. The cell potential, denoted as Ecell, is measured in volts (V), allowing for a specific value to be assigned to the cell potential.
The standard cell potential of a voltaic cell can be calculated using the standard reduction potentials of the two half-cells. These reduction potentials are measured against a standard hydrogen electrode (SHE). By finding the difference between the reduction potential of the cathode and the oxidation potential of the anode, we can determine the overall cell potential. This cell potential represents the potential energy difference between the two half-cells and drives the flow of electrons from the anode to the cathode.
In summary, electric potential is a fundamental concept in understanding electrical phenomena, and it plays a crucial role in the functioning of voltaic cells. The cell potential of a voltaic cell represents the potential difference between its two half-cells, which is driven by the flow of electrons from one half-cell to the other. This potential difference can be quantified and measured in volts, providing valuable insights into the behaviour of electrochemical systems.
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Frequently asked questions
Electric potential, also known as electric field potential or electrostatic potential, is the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.
The SI unit of electric potential is the volt, denoted as V. The volt is named in honour of Alessandro Volta.
The electric potential difference between two points in space is known as voltage. The volt is a unit of electric potential, so voltage can be measured in volts.
Unless the unit charge crosses a changing magnetic field, the electric potential at any given point does not depend on the path taken. The reference point is typically Earth, but any point beyond the influence of the electric field charge can be used.
Electric potential is defined as electric potential energy per unit of electric charge. The work done in moving a unit charge from one point to another is equal to the difference in potential energies at each point.











































