Q.

Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10–5 N, then separation between the wires is _________cm.

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answer is 5.

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Detailed Solution

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It should be mentioned, 10 cm wire is part of long wire.
Force experienced by unit length of wire
=μ0I1I22πd,I1=I2=5A
 

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Force experienced by wires of length 10 cm
=μ0I1I22πd×10×102105=2×107×5×5d×10×102
d = 50 × 10–3 m
d = 50 × 10–1 cm = 5 cm.

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