Two charges of 2 mC and 8 mC are kept at (2 m,0) and (7 m, 0) respectively. At what position, a third charge Q should be kept so that all the three charges are in equilibrium. Also calculate the magnitude of charge Q.

Explanation

To solve the problem of finding the position and magnitude of the charge \( Q \) such that all three charges are in equilibrium, we can follow these steps:

### Step 1: Understand the Problem
We have two charges:
- \( Q_1 = 2 \, \text{mC} \) located at \( (2 \, \text{m}, 0) \)
- \( Q_2 = 8 \, \text{mC} \) located at \( (7 \, \text{m}, 0) \)

We need to find the position \( x \) of a third charge \( Q \) such that the net force acting on each charge is zero.
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