Two straight infinitely long and thin parallel wires are spaced 0.2m apart and carry a current of 10A each. Find the magnetic field at a point distance 0.1m from both wires in the two cases when the currents are in the (a) same and (b) opposite directions.

Explanation

To solve the problem, we need to calculate the magnetic field at a point that is 0.1 m away from both wires in two scenarios: when the currents are in the same direction and when they are in opposite directions.

### Given Data:
- Distance between the wires, \(d = 0.2 \, \text{m}\)
- Distance from the point to each wire, \(r = 0.1 \, \text{m}\)
- Current in each wire, \(I = 10 \, \text{A}\)
- Permeability of free space, \(\mu_0 = 4\pi \times 10^{-7} \, \text{T m/A}\)

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