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Question

Determine the magnitude of the force between two parallel wires 25 m long and 4.0 cm apart, each carrying 25 A in the same direction.

A
$$0.078$$ N
B
$$0.85$$ N
C
$$0.075$$ N
D
$$0.073$$ N
Solution
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Correct option is A. $$0.078$$ N
The magnitude of the force between two parallel wires,
$$F_2=\dfrac{\mu_0}{2\pi}\dfrac{I_1I_2}{d}l_2$$
$$F=\dfrac{(4\pi\times 10^{-7}T.m/A)}{2\pi}\dfrac{(25A)(25A)}{(4.0\times 10^{-2}m)}(25m)$$
$$=0.078N$$

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