Two parallel wires separated by a distance of 10cm carry currents of 10 A and 40 A along the same direction, Where should a third current be placed so that it experience no magnetic force?

Explanation

To solve the problem of where to place a third current so that it experiences no magnetic force due to two parallel wires carrying currents, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Configuration**:
- We have two parallel wires separated by a distance of 10 cm.
- Wire 1 carries a current \( I_1 = 10 \, \text{A} \) and Wire 2 carries a current \( I_2 = 40 \, \text{A} \).
- We need to find the position of a third wire (let's denote the current in the third wire as \( I_3 \)) such that it experiences no net magnetic force.
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