2. A long solenoid with a radius R has a turn density of n. A small coil with radius r and having N2 turns, is placed along the symmetry axis of the solenoid. Calculate the mutual inductance between the two coils. [ Warning: n, is the "turn density" (turns per unit length) of the outer solenoid, while N, is the total number of turns on the coil inside – they are not same type of quantities! ] [ Hint: You can assume that a current of i, is passing through the outer solenoid (it should eventually be canceled out in the calculation of the mutual inductance) ] o o 2R 2r
2. A long solenoid with a radius R has a turn density of n. A small coil with radius r and having N2 turns, is placed along the symmetry axis of the solenoid. Calculate the mutual inductance between the two coils. [ Warning: n, is the "turn density" (turns per unit length) of the outer solenoid, while N, is the total number of turns on the coil inside – they are not same type of quantities! ] [ Hint: You can assume that a current of i, is passing through the outer solenoid (it should eventually be canceled out in the calculation of the mutual inductance) ] o o 2R 2r
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