Two charges particles each having equal charges `2 xx 10^(-5) C` are brought from infinity to within a separation of 10 cm. Calculate the increase in potential energy during the process and the work required for this purpose.

Explanation

To solve the problem, we need to calculate the increase in potential energy when two charges are brought from infinity to a separation of 10 cm. Here are the steps to derive the solution:

### Step 1: Understand the given data
We have two charges, each with a charge \( Q = 2 \times 10^{-5} \, C \), and they are separated by a distance \( r = 10 \, cm = 10 \times 10^{-2} \, m \).

### Step 2: Write the formula for potential energy
The potential energy \( U \) between two point charges is given by the formula:
\[
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