A long solenoid (black coil) with cross-sectional area A and length L is wound with N1...

A long solenoid (black coil) with cross-sectional area A and length L is wound with N1 turns of wire. (Figure 1) A time-varying current i1 flows through this wire. A shorter coil (blue coil) with N2 turns of wire surrounds it. Use μ0 for the permeability of free space.

Find the value M of the mutual inductance.

Note: The current in black coil is constantly changing. However, when using the hints it may help you to consider the instant at which the current in the black coil is i1.

Express your answer symbolically using the terms given in the question.

Expert Solution

genius_generous answered 2 years ago

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