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
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