Umair Gaines
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is a fundamental concept in physics that deals with the amount of energy per unit charge required to move a charge between two points in an electric field. It is denoted by the letter V and is measured in volts (V) in honour of Alessandro Volta. This electric potential energy is influenced by the charge of an object and its position relative to other charged objects. When two points have the same electric potential, it means that the electric potential energy per unit charge is the same at both locations. In other words, the work done or energy required to move a unit charge between these two points remains constant, indicating a balanced system.
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What You'll Learn
- Electric potential is the amount of work/energy needed per unit of electric charge
- Electric potential energy is defined as the total potential energy a unit charge will possess
- Electric potential is the potential energy per unit charge
- The electric potential at the reference point is zero units
- The electric potential difference between two points in space is known as a voltage
Electric potential is the amount of work/energy needed per unit of electric charge
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is defined as the amount of work or energy needed per unit of electric charge. In other words, it is the electric potential energy per unit charge. This means that electric potential is a measure of the energy required to move a unit of electric charge from one point to another in an electric field.
The concept of electric potential is closely linked with potential energy. In a gravitational system, potential energy is a useful concept, but in an electric field, it is more convenient to define a quantity that allows us to calculate the work done on a charge, regardless of the magnitude of the charge. This is because the force and direction of the electric field can be complex and vary with the shape of objects and the path taken.
By defining electric potential as the energy per unit charge, we can calculate the work done on a charge without needing to know the specific details of the charge itself. This is because the dependence on the charge cancels out, so the electric potential does not depend on the charge. The unit of electric potential is the volt (V), named after Alessandro Volta, and the electric potential difference between two points in space is known as voltage.
The electric potential at the reference point, typically Earth or a point at infinity, is defined as zero units. The potential difference between two points is the change in potential of a charge moved from one point to another, and this can be calculated in either a static or dynamic electric field. Voltage and energy are related but distinct concepts. For example, a car battery and a motorcycle battery can have the same voltage but supply different amounts of energy, as the car battery has a larger engine to start.
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Electric potential energy is defined as the total potential energy a unit charge will possess
The electric potential energy of a system of point charges is defined as the work required to assemble this system of charges by bringing them close together. The electric potential energy of any given charge or system of charges is termed 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. The electric potential energy of a charge placed in an electric field is measured by the work done in moving the charge from infinity to that point against the electric field.
The electric potential energy of a charge is influenced by two key elements: the charge possessed by the object itself and the relative position of the object with respect to other electrically charged objects. The magnitude of electric potential depends on the amount of work done in moving the object from one point to another against the electric field. The electric potential energy of any given charge or system of charges can be calculated using the formula UE(r) - UE(rref) = -∫ rref^r qE . ds, where rref is the reference position, r is the position in 3D space of the charge q, and E is the electrostatic field.
The SI unit of electric potential energy is the joule, named after the English physicist James Prescott Joule. The electrostatic potential energy, UE, of one point charge q at position r in the presence of an electric potential V is calculated using the formula UE = qV, where q is the charge and V is the electric potential. The total electrostatic potential energy stored in a capacitor can be calculated using the formula UE = 1/2QV = 1/2CV^2 = Q^2/2C, where C is the capacitance, V is the electric potential difference, and Q is the charge stored in the capacitor.
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Electric potential is the potential energy per unit charge
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is defined as the amount of work or energy needed per unit of electric charge to move a charge from a reference point to a specific point in an electric field. In other words, electric potential is the potential energy per unit charge.
The concept of electric potential is closely linked with potential energy. A test charge, q, has an electric potential energy, UE, given by the equation UE = qV. The potential energy and, hence, the electric potential are only defined up to an additive constant. One must arbitrarily choose a position where the potential energy and the electric potential are zero. Typically, the reference point is Earth or a point at infinity, although any point can be used.
The SI unit of electric potential is the volt (V), named after Alessandro Volta. The volt is also the unit of electric potential difference, or voltage, which is the change in potential energy per unit charge. Voltage and energy are related but distinct concepts. For example, a car battery and a motorcycle battery can have the same voltage but supply different amounts of energy. The car battery can move more charge than the motorcycle battery, even if they have the same voltage.
The electric potential can be calculated in either a static (time-invariant) or a dynamic (time-varying) electric field at a specific time using the units joules per coulomb (J⋅C−1) or volt (V). The electric potential at infinity is assumed to be zero. 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.
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The electric potential at the reference point is zero units
Electric potential, also known as electric field potential, potential drop, or electrostatic potential, is defined as the amount of work or energy required per unit of electric charge to move a charge from a reference point to a specific point in an electric field. In other words, it is the energy per unit charge for a test charge. The reference point is usually the Earth or a point at infinity, but any point can be used.
The electric potential at the reference point is defined as zero units. This means that the electric potential at the Earth or a point at infinity is assumed to be zero. The electric potential difference between two points in space is known as voltage, and it is measured in volts (V).
The concept of electric potential is closely linked with potential energy. Electric potential can be understood as the potential energy per unit charge. This means that voltage and energy are related but not the same. For example, a motorcycle battery and a car battery can have the same voltage, but the car battery can store and deliver much more energy because it can move a larger charge.
The electric potential is a scalar quantity, denoted by V or occasionally φ. It is a continuous function in all space, and it can be calculated in either a static (time-invariant) or dynamic (time-varying) electric field. The SI unit of electric potential is the volt, denoted as V, in honour of Alessandro Volta.
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The electric potential difference between two points in space is known as a voltage
Electric potential, also known as electric field potential or electrostatic potential, is defined as the amount of work or energy needed per unit of electric charge to move the charge from a reference point to a specific point in an electric field. The reference point is typically earth or a point at infinity, but any point can be used.
Electric potential is the electric potential energy per unit charge. This value 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). The electric potential difference between two points in space is known as a voltage.
The SI derived unit of electric potential is the volt (V), which is why the electric potential difference is known as voltage. The unit is named after Alessandro Volta. Older units, such as the abvolt and the statvolt, are rarely used today. The volt is the unit of voltage used in the International System of Units.
Voltage is the difference in electric potential between two points in space. When a voltage is quoted, it is understood to be the potential difference between two points. For example, a battery has two terminals, and its voltage is the potential difference between them. A voltmeter can be used to determine the potential difference between two points.
It's important to note that voltage and energy are related but not the same thing. While the voltages of batteries can be identical, the energy supplied by each can differ. For instance, a car battery and a motorcycle battery can have the same voltage, but the car battery can move more charge and has a larger engine to start.
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Frequently asked questions
"Same electric potential" means that two objects have the same amount of electric potential energy per unit charge. In other words, they have the same voltage.
Electric potential is calculated by dividing the potential energy by the quantity of charge. The unit of electric potential is the volt (V), which is why the electric potential difference between two points in space is known as voltage.
Voltage and energy are related but distinct concepts. While voltage is the energy per unit charge, the energy supplied by each can differ. For example, a car battery and a motorcycle battery can have identical voltages, but the car battery can store and supply much more energy due to its larger engine.
