# Numerical problems on Work done due to Electric Potential Difference

Last updated on August 25th, 2023 at 01:39 pm

Potential Difference Numerical problems – In this post, we will solve selected numerical problems on Work done due to Electric Potential Difference (PD). To solve these PD numericals we will use concepts and formulas of electric potential and PD.

## Numerical problems on Work done due to Electric Potential Difference – solved

### 1 ) A 500μC charge is at the centre of a square of side 10 cm. Find the work done in moving a charge of 10μC between two diagonally opposite points on the square.

Solution:

Step 1: Electric Potential at points A and B

The formula of Electric potential V=kQ​/r

The source charge (500μC) is located at the centre of a square. (see figure 1) We know, that the centre of a square can be located at that point where its diagonals cross each other.

In Figure 1 above we have shown points A and B as two diagonally opposite points on the square.

Since Points A and B are equidistant from the centre of the square where charge q=500μC is located, therefore, points A and B are at the same potential i.e., VA=VB

Step 2: Work done

∴ Work done by an external agent in moving charge qO =10μC from A to B will be

W = qΔV = q0 (VB−VA) =10 x 0 = 0

Hence, the Work done in moving the charge from A to B will be zero.

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