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Q.

A long solenoid of length l, cross-section A having N1 turns has wound about its centre a small coil of N2 turns as shown in figure Then the mutual inductance of two circuits is

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a

μ0AN1/N2l

b

μ0AN1N2l

c

μ0AN1N2l

d

μ0AN12N2l

answer is B.

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Detailed Solution

ϕ2=N2B1A or ϕ2=N2μ0N1I1Al or ϕ2=μ0N1N2AlI1Comparing with ϕ2=MI1, we get M = μ0N1N2Al
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A long solenoid of length l, cross-section A having N1 turns has wound about its centre a small coil of N2 turns as shown in figure Then the mutual inductance of two circuits is