Electric potential, also known as electric potential energy, is a scalar quantity used to describe how much work is done to move a positive test charge from infinity to a specific point in an electric field. It is measured in joules per coulomb, or volts.

The relationship between electric potential (V) and electric field (E) is given by the equation:

E = -dV/dr

where dV is the change in electric potential and dr is the change in the position vector. This equation tells us that the electric field is the negative gradient of the electric potential. In other words, the electric field points in the direction of the steepest descent of the electric potential.

This relationship is important because it allows us to calculate the electric field if we know the electric potential, and vice versa.

Question

Electric potential, also known as electric potential energy, is a scalar quantity used to describe how much work is done to move a positive test charge from infinity to a specific point in an electric field. It is measured in joules per coulomb, or volts.

The relationship between electric potential (V) and electric field (E) is given by the equation:

E = -dV/dr

where dV is the change in electric potential and dr is the change in the position vector. This equation tells us that the electric field is the negative gradient of the electric potential. In other words, the electric field points in the direction of the steepest descent of the electric potential.

This relationship is important because it allows us to calculate the electric field if we know the electric potential, and vice versa.

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Electric potential, also known as electric potential energy, is a scalar quantity used to describe how much work is done to move a positive test charge from infinity to a specific point in an electric field. It is measured in joules per coulomb, or volts.

The relationship between electric potential (V) and electric field (E) is given by the equation:

E = -dV/dr

where dV is the change in electric potential and dr is the change in the position vector. This equation tells us that the electric field is the negative gradient of the electric potential. In other words, the electric field points in the direction of the steepest descent of the electric potential.

This relationship is important because it allows us to calculate the electric field if we know the electric potential, and vice versa.

Define electric potential. How is it related to the electric field?

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