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Two long and parallel street wires carry...

Two long and parallel street wires carrying current of 2A and 5A in the opposite direction are separated by a distance of 1 cm. Find the nature and magnitude of the magnetic force between them.

Text Solution

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Current `I_(1) = 2A , I_(2) = 5A`
Two wires are separated by a distance a = 1 cm ` = 1 xx 10^(-2) `m
Force between two parallel wires per unit length F = ?
`F = (mu_(0))/(2 pi) . (I_(1)I_(2))/a `
` = 2 xx 10^(-7) xx (2 xx 5)/ (1 xx 10^(-2)) N `
`F = 20 xx 10^(-5) N`.
This force is repulsive.
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