Calculate the work required to separate two charges ` 5 muc and -2 muc ` placed at (- 3 cm, 0, 0) and (+ 3 cm, 0, 0) infinitely away from each other

Explanation

To calculate the work required to separate two charges \( q_1 = 5 \, \mu C \) and \( q_2 = -2 \, \mu C \) from their initial positions to infinity, we can use the formula for electric potential energy between two point charges. The work done in moving the charges to infinity is equal to the negative of the potential energy at their initial separation.

### Step-by-Step Solution:

1. **Identify the Charges and Their Positions:**
- Charge \( q_1 = 5 \, \mu C = 5 \times 10^{-6} \, C \) is located at \( (-3 \, cm, 0, 0) \).
- Charge \( q_2 = -2 \, \mu C = -2 \times 10^{-6} \, C \) is located at \( (3 \, cm, 0, 0) \).

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