Wiktor Wise
Electric potential, also known as electric field potential or electrostatic potential, is a fundamental concept in physics that deals with the electric potential energy per unit of electric charge. It is defined as the amount of work required to move a test charge from a reference point, typically assumed to be the Earth or infinity, to a specific point in an electric field. The electric potential at the reference point is considered zero. The electric potential at any point in a system of charges is influenced by the sum of the individual electric potentials of each charge. This concept is crucial for understanding voltage, the electric potential difference between two points in space, and plays a significant role in electrostatics and electrodynamics.
| Characteristics | Values |
|---|---|
| Definition | Electric potential energy per unit of electric charge |
| Other names | Electric field potential, potential drop, electrostatic potential |
| Reference point | Typically, the reference point is earth or a point at infinity, although any point can be used |
| Calculation | The electric potential at a point is calculated as the total work done by an external force in bringing the charge from infinity to that point |
| Unit | Volt (V) |
| Formula | V = U/q |
| Electric potential at infinity | Zero |
| Electric potential at the surface of the Earth | Zero |
| Scalar quantity | V or φ |
| Electric potential arising from a point charge, Q, at a distance, r, from the location of Q | VE = (1 / 4π ε0) * Q / r |
| ε0 | Permittivity of vacuum |
| VE | Coulomb potential |
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What You'll Learn
Electric potential energy per unit of electric charge
The electric potential arising from a point charge, Q, at a distance, r, from the location of Q is given by the equation:
V_E = (1 / (4 * pi * epsilon_0)) * (Q / r)
Where VE is the Coulomb potential, epsilon_0 is the permittivity of a vacuum, and r is the distance from the point charge. It's important to note that the electric potential scales with the reciprocal of the radius rather than the radius squared, unlike the magnitude of an electric field due to a point charge.
The SI unit of electric potential is the volt (V), named after Alessandro Volta. In the International System of Units (SI), electric potential is expressed in joules per coulomb (J/C), which is equivalent to volts. The volt is used to measure the difference in potential energy between two points in space, known as voltage. This difference in potential can be measured using a voltmeter.
The concept of electric potential is crucial for understanding electrical phenomena, although only differences in potential energy are measurable. For example, consider a ball with a charge of 10^-7 C that moves from point A with a potential of 500 V to point B, where the potential is 0 V. By applying the principles of electric potential, we can calculate the velocity of the ball at point A to be 20.6 cm/sec.
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Electric potential at infinity
Electric potential, also known as electric field potential or electrostatic potential, 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 for electric potential is typically the Earth or a point at infinity, where the force on a test charge is considered zero.
The electric potential at infinity is assumed to be zero. This assumption is made because, in electrodynamics, when time-varying fields are present, the electric field cannot be expressed solely as a scalar potential. Instead, it is expressed as both the scalar electric potential and the magnetic vector potential, forming a four-vector. By considering the electric potential at infinity to be zero, we can simplify calculations and work with a more manageable framework.
In the context of electric potential, infinity refers to an infinitely distant location from a charge. When calculating the electric potential of a system, the potential at infinity serves as a reference point. The electric potential at any location in a system of point charges is the sum of the individual electric potentials due to each point charge in the system. By assuming the electric potential at infinity to be zero, we can more easily calculate the electric potential at any given location.
It is important to note that the concept of electric potential at infinity is an idealization. In reality, there is no actual point of infinite distance from a charge. However, by assuming such a point, we can establish a consistent reference frame for our calculations. This reference frame allows us to quantify and understand the electric potential at various locations within a system of charges.
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Electric potential and potential difference
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is defined as electric potential energy per unit of electric charge. In other words, it is the amount of work needed to move a test charge from a reference point to a specific point in a static electric field. The reference point, typically the Earth or a point at infinity, is assumed to have zero electric potential. The electric potential at any location in a system of point charges is equal to the sum of the individual electric potentials due to every point charge in the system.
The SI unit of electric potential is the volt, denoted as V, in honour of Alessandro Volta. The electric potential difference between two points in space is known as voltage. Voltage is the energy per unit charge, and it is measured by a voltmeter. A potential difference is required to create the flow of electrons and produce electricity, and it is maintained by a battery or a cell. An electron accelerated through a potential difference of 1 V is given an energy of 1 eV, and as the potential difference increases, so does the energy gained by the electron.
While voltage and energy are related, they are not the same. For example, a motorcycle battery and a car battery can both have the same voltage but differ in the amount of energy they store. This is because the car battery can move more charge than the motorcycle battery. As a battery is discharged, some of its energy is used internally, and its terminal voltage drops, such as when headlights dim due to a depleted car battery.
The distinction between electric potential and potential difference is important. Electric potential is a scalar quantity that represents the work done per unit charge to bring a charge from infinity to a point in the electrostatic field against the field force. On the other hand, potential difference or voltage difference refers to the work done per unit charge to move a unit charge from one point to another in an electric field.
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Electric potential in an electrical circuit
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is a fundamental concept in electrical circuits. It refers to the amount of work required to move a unit charge between two points in a circuit. This movement of charge against an electric field results in a change in potential energy.
In an electrical circuit, the potential difference between two points is known as voltage. Voltage is measured in volts (V), and it represents the work done by an external agent to move a unit charge between these points. The formula for calculating the electric potential arising from a point charge Q at a distance r from its location is given by V_E = (1 / 4π ε0) * (Q / r), where ε0 is the permittivity of a vacuum.
The electric potential at any location r in a system of point charges is the sum of the individual electric potentials due to each point charge. This simplifies calculations as adding potential (scalar) fields is easier than adding electric (vector) fields. The electric potential at a reference point, typically Earth or a point at infinity, is defined as zero units. The choice of the reference point is important as it affects the calculation of potential differences.
The electric potential is influenced by the presence of time-varying magnetic fields. In such cases, the electric field is expressed using both scalar electric potential and magnetic vector potential. These two potentials together form a four-vector under Lorentz transformations. The electric potential is continuous across an idealized surface charge, although it may not be continuous at the location of the point charge itself.
Understanding electric potential is crucial in electrical circuits as it helps determine the behaviour of charges within the circuit. The potential difference between points in a circuit affects the flow of current and the distribution of energy. By analyzing electric potential, engineers can design and optimize circuits for specific applications, ensuring efficient and reliable performance.
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Electric potential and kinetic energy
Electric potential, also known as electric field potential or electrostatic potential, 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 typically the earth or a point at infinity, and the electric potential at this reference point is defined as zero.
The electric potential difference between two points in space is known as voltage, and it is measured in volts (V). Voltage is not the same as energy; it represents the energy per unit charge. For example, a motorcycle battery and a car battery can have the same voltage but differ in the amount of energy they store.
The electric potential at a point in an electric field is influenced by the presence of charges. If two like charges (two protons or two electrons) are brought closer together, the potential energy of the system increases. Conversely, if two unlike charges (a proton and an electron) are brought closer together, the potential energy of the system decreases.
The relationship between electric potential and kinetic energy is evident when a charge is introduced into an electric field. The charge gains kinetic energy as it moves within the electric field, and this kinetic energy is derived from the conversion of potential energy. This process is analogous to an object moving downhill in a gravitational field, where its potential energy is converted into kinetic energy.
In the context of electric circuits, the potential between two points is defined as the amount of work done by an external agent in moving a unit charge from one point to another. This change in potential energy is crucial, and it is the basis for understanding the behaviour of charges within the circuit.
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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 test charge from a reference point to a specific point in a static electric field.
The SI unit of electric potential is the volt (V), in honour of Alessandro Volta.
Electric potential is calculated as the electric potential energy per unit of electric charge. It is measured in joules per coulomb (J⋅C−1) or volt (V).
The electric potential of an object depends on its electric charge and its relative position to other electrically charged objects.
The electric potential at infinity is assumed to be zero. This is the reference level used to define electric potential at a point.
