A long thin solenoid of length l and cross-sectional area A contains N 1 closely

Question

A long thin solenoid of length l and cross-sectional area A contains N1 closely packed turns of wire. Wrapped tightly around it is an insulated coil of N2turns

Assume all the flux from coil 1 (the solenoid) passes through coil 2, and calculate the mutual inductance.

A long thin solenoid of length l and cross-sectional area A contains N1 closely packed turns of wire. Wrapped tightly around it is an insulated coil of N2turns Assume all the flux from coil 1 (the solenoid) passes through coil 2, and calculate the mutual inductance. Express your answer in terms of the variables N1, N2, A, l, and appropriate constants.

Explanation / Answer

Magnetic field inside the solenoid, B = u0N1I1/L

The flux through coil2 is, phi21 = BA

Mutual inductance, M21 = N2*phi21/I1 = (u0N1N2A)/L

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