# How does electric potential and electric field vary with distance from a point charge represent it graphically?

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## How does electric field and electric potential vary with distance from a point charge?

Electric Potential V of a Point Charge

The potential at infinity is chosen to be zero. Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: … Recall that the electric potential V is a scalar and has no direction, whereas the electric field E is a vector.

## How does the electric potential at a point vary with distance for an electric dipole and a point charge compare by writing expressions?

Electric potential is inversely proportional to the square of the distance from the centre of the dipole (i.e. V ∝ 1 r 2 ). Where as the potential due to point charge is inversely proportional with the distance from the charge (i.e. V ∝ 1 r ).

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## What happens to the electric potential energy if the distance between the source charge and the test charge is tripled?

A doubling of the separation distance between two point charges results in a quadrupling of the electric force. A tripling of the separation distance between two point charges results in an electric force which is one-sixth of the original value.

## How does the electric field due to an electric dipole vary with the distance from the dipole?

Explanation: For an electric dipole (at large distances), The electric potential varies inversely with the square of the distance. For a point charge, The electric potential varies inversely with the distance.

## How does electric field vary with distance?

The strength of an electric field as created by source charge Q is inversely related to square of the distance from the source. This is known as an inverse square law. … So if separation distance increases by a factor of 2, the electric field strength decreases by a factor of 4 (2^2).

## What is the electric potential due to an electric dipole at an equatorial point?

Electric potential at any point in the equatorial plane of dipole is zero.

## What is the electrostatic potential due to an electric dipole at an equipotential point?

Positive sign for 0 = 0° and negative sign for @ = Tt. At any point on the equatorial plane, e = cos = cos = 0. V=0 i.e., electrostatic potential at any point on the equatorial plane of dipole is zero. An equipotential surface is that surface at every point of which electric potential is the same.

## What happens to the force between two charges if the distance between them is tripled?

The force between the two charges is directly proportional to the product of the charges and inversely to the square of the distance between them. Hence, if charge on q1 is tripled (and other charge and distance is kept constant, the force between the two charges is tripled.

## How is the electric force between two charges affected when the distance between the charges is doubled?

The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.

## Does electric potential energy increase with distance?

Actually, electric potential decreases as you move farther from a charge distribution. … In the same way, as you do work on a charge to move it closer to another charge of the same sign, you increase the electric potential energy.