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Question

A conductor of length 2 m carrying current 2 A is held parallel to an infinitely long conductor carrying current of 12 A at a distance of 100 mm, the force j on a small conductor is:

A
8.6 x 105N
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B
6.6 x 105N
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C
7.6 x 105N
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D
9.6 x 105N
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Solution

The correct option is A 9.6 x 105N
Here,I1 = 2 A,I2 = 12 A, r = 100 mm = 0.1 m, l = 2 m
Now total force on length l of small conductor

F=μ02I1I2l4πr=107×2×2×12×20.1

F=9.60×105N

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