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JEE PHYSICS MCQ: ELECTRO MAGNETIC INDUCTION

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A short solenoid of radius aa, number of turns per Unit length n1n_1 and length LL is kept coaxially inside a very long solenoid of radius bb, the number of turns per Unit length n2n_2. What is the mutual inductance of the system?
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Correct option: C
μ0πa2n1n2L\mu_0 \pi {a}^2 n_1 n_2 L
The correct answer is C (μ0πa2n1n2L\mu_0 \pi {a}^2 n_1 n_2 L) because the mutual inductance depends on the flux linkage with the inner solenoid due to the magnetic field of the outer solenoid.

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