Two straight infinitely long and thin parallel wires are spaced $0.1 m$ apart and carry a current of $10 A$ each. The magnetic field at a point distance $0.1 m$ from both wires, when the currents are in the opposite directions is $= n \times 10^{- 5} T$ . Find the value of n.

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answer is 2.

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Detailed Solution

If the currents are in the opposite direction,
$B_{R} = 2 B \cos (60 °)$
$= 2 \times \frac{μ_{o}}{4 π} \times \frac{2 l}{d} \cos (60 °) = \frac{10^{- 7} \times 2 \times 10}{0.1} \times 2 \times \frac{1}{2} = 2 \times 10^{- 5} T$

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