# Frequent question: How does the electric potential due to a point charge vary with the distance of the point from the charge?

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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 ).

## Does the voltage due to a point charge vary directly or inversely with distance from the charge?

Careful observations show that the electrostatic force between two point charges varies inversely with the square of the distance of separation between the two charges.

## How does electric potential vary with distance?

Electric Potential V of a Point Charge Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: E=Fq=kQr2 E = F q = k Q r 2 .

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

Electric Potential V of a Point Charge

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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: E=Fq=kQr2 E = F q = k Q r 2 .

## 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.

## Which of the following about potential at a point due to a given point charge is true?

The potential at a point P due to a given point charge

(d) is directly proportional to the square of distance from the point charge.

## What’s the meaning of inversely proportional?

When the value of one quantity increases with respect to decrease in other or vice-versa, then they are said to be inversely proportional. It means that the two quantities behave opposite in nature. For example, speed and time are in inverse proportion with each other. As you increase the speed, the time is reduced.

## How are Electric potential and electric field similar How are they different?

1. Electric field is described as the amount of force per charge while the Electric potential is described as the amount of energy or work per charge. 3. Electric field is a vector quantity while Electric potential is a scalar quantity.

## How does the electric field at a point vary with distance from a point electric charge Class 12?

The electric field varies inversely as the square of the distance from the point charge.

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## What is the electric potential at a point in an electric field?

The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field.

## When a charge is released in an electric field it moves from a point of potential?

When the positive charge is at rest, it has maximum potential energy. But when it is released from rest in the uniform electric field, it starts moving and its potential energy gets converted into kinetic energy. Therefore, the potential energy of the charge does not remain constant or increase.