Two chargea `2.0xx10^(-6) C` are placed at a separation of 10 cm. where should a third charge be placed such that it experiences no net force due to these charges.

Explanation

To solve the problem, we need to find the position where a third charge experiences no net force due to the two given charges. Let's denote the two charges as \( q_1 = 2.0 \times 10^{-6} \, C \) and \( q_2 = 2.0 \times 10^{-6} \, C \) placed 10 cm apart. We will denote the position of the third charge as \( q \).

### Step-by-Step Solution:

1. **Understand the Configuration**:
- We have two charges \( q_1 \) and \( q_2 \) separated by a distance of 10 cm. We need to find a position for the third charge \( q \) such that the forces acting on it due to \( q_1 \) and \( q_2 \) are equal and opposite.

2. **Identify Possible Locations**:
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