Molly Ayala
Electric potential, also known as electric field potential, is a fundamental concept in understanding how electric circuits work. It refers to the amount of work required to move a unit charge from a reference point, typically Earth, to a specific point in a static electric field. This concept is crucial in electrical systems, where the potential difference between two points, often referred to as voltage, helps determine the pushing force of the electric field. Electric potential is measured in joules per coulomb (J/C), also known as volts (V), and voltmeters are used to measure potential differences. Understanding electric potential and its relationship with potential energy is essential for comprehending the behaviour of electric fields and the flow of electricity.
| Characteristics | Values |
|---|---|
| Definition | Electric potential is defined as electric potential energy per unit of electric charge. |
| Formula | The electric potential energy of any given charge or system of charges is defined as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration. |
| Unit | The SI derived unit of electric potential is the volt (V), which is why the electric potential difference between two points in space is known as voltage. |
| Reference Point | The reference point is typically Earth or a point at infinity, although any point beyond the influence of the electric field charge can be used. |
| Calculation | Electric potential can be calculated in either a static (time-invariant) or a dynamic (time-varying) electric field at a specific time with the unit joules per coulomb (J⋅C−1) or volt (V). |
| Potential Difference | The potential difference between points A and B, VB−VA, is the change in potential of a charge q moved from A to B. |
| Voltmeter | A voltmeter measures the potential difference between two points. |
| Electric Field | An electric field exerts force on a charged object. The force will be in the direction of the electric field vector if the charge is positive, and in the opposite direction if the charge is negative. |
| Potential Energy | The potential energy of an object in a force field depends on the position of the object with respect to the field. The potential energy of a charge in an electric field describes how much stored energy it has, and when set into motion by an electrostatic force, that energy can become kinetic. |
| Charge | The total electric potential of the charge is defined as the total work done by an external force in bringing the charge from infinity to the given point. |
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What You'll Learn
Electric potential energy per unit charge
The electric potential energy per unit charge is a measure of the potential difference between two points in space. It is calculated by dividing the potential energy by the quantity of charge. This value can be determined in either a static (time-invariant) or dynamic (time-varying) electric field, with the unit of measurement being joules per coulomb (J⋅C−1) or volt (V).
In an electrical circuit, the potential between two points is defined as the work done by an external agent to move a unit charge from one point to another. The electric potential energy of a system of charges is the total work done to assemble the system by bringing the charges together. This energy is associated with the configuration of charges within the system and can be calculated using Coulomb's law.
The concept of electric potential energy per unit charge is crucial for understanding how charges move within a circuit. Voltage represents the difference in potential energy per unit charge between two points, and this difference influences the direction in which charges move. A higher potential energy at one point will cause charges to move toward a lower potential energy, similar to how objects fall from high to low gravitational potential energy.
Understanding electric potential energy per unit charge allows us to predict and control the behaviour of charges in electrical systems. By manipulating voltage levels at different points, we can direct the flow of charges and manage the distribution of energy within a circuit. This knowledge is fundamental to the design and operation of electrical systems and ensures the efficient utilisation of electrical energy.
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Electric potential difference
Electric potential is the amount of work required to move a unit charge from a reference point to a specific point in a static electric field. The reference point is typically Earth, but any point beyond the influence of the electric field charge can be used. Electric potential is measured in joules per coulomb (J⋅C−1) or volts (V).
The potential difference is equal to the amount of current multiplied by the resistance. A potential difference of one volt is equal to one joule of energy being used by one coulomb of charge when it flows between two points in a circuit. Voltmeters are used to measure potential difference.
In an electrical circuit, 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. The electric potential at infinity is assumed to be zero.
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Voltage
The volt is defined as 1 joule (of work) per 1 coulomb of charge. In other words, voltage is the amount of potential energy available per unit of charge, to move charges through a conductor. Voltage is generated by the build-up of electric charge, from an electromotive force, or by chemical reactions, radiant energy, and the influence of magnetism on conductors.
In an electrical circuit, 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. The work done in moving a positive charge through a distance is given by the equation W = F'd = -qEd, where F is the force exerted by the field on the positive charge, q is the charge, E is the electric field, and d is the distance.
The electric potential at the reference point, typically Earth, is defined as zero units. The electric potential at infinity is also assumed to be zero. The voltmeter is used to measure the voltage between two points in a system.
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Electric potential and kinetic energy
Electric potential, also known as electric field potential or electrostatic potential, is a fundamental concept in electrical systems. It refers to the amount of work required to move a unit charge from a reference point to a specific point in a static electric field. This reference point is typically Earth, but it can also be any point beyond the influence of the electric field charge. The electric potential is calculated using the formula:
> Electric Potential = Work Done / Charge
Electric potential is measured in joules per coulomb, also known as volts. It is important to distinguish between electric potential and voltage. Voltage represents the energy per unit charge, while electric potential represents the work done to move a charge in an electric field.
Now, let's discuss the relationship between electric potential and kinetic energy. When a free positive charge is accelerated by an electric field, it acquires kinetic energy. This process is similar to an object gaining kinetic energy as it moves down a gravitational hill. In this case, the electric potential energy is converted into kinetic energy. The work done by the electric field is given by the equation:
> Work Done = Change in Potential Energy
The change in potential energy can be calculated using the formula:
> Change in Potential Energy = Charge x Change in Voltage
By substituting the expression for the change in potential energy, we can relate electric potential to kinetic energy. This relationship becomes particularly evident when examining the movement of electrons or ions through a potential difference. For example, when an electron is accelerated through a potential difference of 1 V, it gains 1 eV of energy, which contributes to its kinetic energy.
In summary, electric potential is a critical concept in electrical systems, representing the work required to move a charge in an electric field. This concept is closely tied to kinetic energy, as the electric potential energy can be converted into kinetic energy when charges are accelerated in an electric field.
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Electric potential and magnetic vector potential
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 unit charge from a reference point to a specific point in a static electric field. The reference point is typically Earth, but it can be any point beyond the influence of the electric field charge. The electric potential at the reference point is defined as zero units.
The electric potential energy of a charge or system of charges is the total work done by an external agent in bringing the charge from infinity to the present configuration without undergoing any acceleration. The electric potential at infinity is assumed to be zero. The SI derived unit of electric potential is the volt, denoted as V, which is why the electric potential difference between two points in space is known as voltage.
Magnetic vector potential, or vector potential, is used in conjunction with electric potential to specify the electric field. In the context of special relativity, the magnetic vector potential is combined with the scalar electric potential to form the electromagnetic potential, also known as the four-potential. This four-potential is a mathematical four-vector, allowing for simple calculations of electric and magnetic potentials in different inertial reference frames.
The Lorenz gauge is often used in equations involving the electromagnetic four-potential, resulting in concise expressions of classical electromagnetism. The magnetic vector potential was introduced by Franz Ernst Neumann and Wilhelm Eduard Weber in the mid-19th century, with William Thomson providing the modern version in 1847.
In summary, electric potential and magnetic vector potential are fundamental concepts in electromagnetism, with the former representing electric potential energy per unit charge and the latter aiding in specifying the electric field. Together, they form a powerful tool for describing and calculating electrical and magnetic phenomena.
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Frequently asked questions
Electric potential, or electric field potential, is the amount of work needed to move a unit charge from a reference point to a specific point in a static electric field. It is the electric potential energy per unit charge.
Electric potential is measured in joules per coulomb (J/C), also known as volts (V). Voltmeters are used to measure the potential difference between two points in space.
Electric potential energy is the total work done by an external force in bringing the charge from infinity to a given point. Electric potential, on the other hand, is a value obtained by dividing the electric potential energy by the quantity of charge at a specific point in the electric field.
