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What is \[M_{21}\] for two coaxial solenoids with the smaller solenoid inside the larger?

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Question

What is \[M_{21}\] for two coaxial solenoids with the smaller solenoid inside the larger?

Options

  • \[M_{21}=\mu_0n_1n_2\pi r_1^2l\]

  • \[M_{21}=\mu_0n_1n_2\pi r_2^2l\]

  • \[M_{21}=\mu_0n_1n_2\pi r_2^2lI_1\]

  • \[M_{21}=\frac{\mu_0n_1n_2\pi r_2^2}{l}\]

MCQ
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Solution

Divide the secondary’s total flux linkage by the primary current \[I_1\] . The resulting mutual inductance is \[M_{21}=\mu_0n_1n_2\pi r_2^2l\] .

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