A long solenoid of length L, cross section A having N1 turns has wound about its center a small coil of N2 turns as shown in figure. 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=N2μ0N1I1LA or ϕ2=μ0N1N2ALI1 Comparing with ϕ2=MI1, we get M2=μ0N1N2AL