Two identical charges of -0.1 `muC` are palced at point A (0, 0) and B (8cm, 0) respectively. Calculate the value of charge Q to be placed at a point M (4 cm, 0) such that the electrostatic potential energy of the system is zero.

Explanation

To solve the problem, we need to calculate the value of charge \( Q \) that should be placed at point \( M(4 \, \text{cm}, 0) \) such that the total electrostatic potential energy of the system is zero.

### Step-by-Step Solution:

1. **Identify the Charges and Their Positions:**
- Charge \( q_1 = -0.1 \, \mu C \) is at point \( A(0, 0) \).
- Charge \( q_2 = -0.1 \, \mu C \) is at point \( B(8 \, \text{cm}, 0) \).
- Charge \( Q \) is to be placed at point \( M(4 \, \text{cm}, 0) \).
...