First slide
Inductance
Question

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

Moderate
Solution

ϕ2=N2B1A

 or ϕ2=N2μ0N1I1Al

 or ϕ2=μ0N1N2AlI1

Comparing with ϕ2=MI1, we get M = μ0N1N2Al

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