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Question

Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are 20 cm and 40 cm and carry currents of 0.2 A and 0.3 A respectively in opposite directions. The net magnetic induction field at their common centre is


A
35μ04
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B
5μ04
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C
7μ08
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D
μ080
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Solution

The correct option is B 5μ04
Two coils carrying current in opposite direction,

hence net magnetic field at centre will difference of the two fields.
i.e. Bnet=μ04π.2πN[Ni1r1i2r2]

=10μ02[0.20.20.30.4]=54μ0

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