two infinitely long parallel wires are at a distance of 1 metre both of them carry 2 ampere of current the force of attraction per unit length between the two wire is found to be K * 10-7 Newton per metre find k
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Explanation: Force per unit length between two infinity long parallel wires is given by,
where, is permeability of vaccum or air, are current through parallel wires respectively and d is the separation between wires.
here, = 4π × 10^-7 Nm/A²
and d = 1m
so, = 4π × 10^-7 × (2)²/(2π × 1)
= 2 × 10^-7 × 4
= 8 × 10^-7 N/m
but given, force per unit length is k × 10^-7 N/m
comparing both sides,
we get, k = 8
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