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Induced EMF in a Coil Inside a Solenoid

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The current in a long solenoid with n turns per unit length is increasing with time t according to the equation I = αt, where α is a constant. A small coil with N turns and radius r is positioned inside the solenoid such that its axis is aligned with the solenoid’s axis. What is the magnitude of the induced electromotive force (emf) in the small coil?

A

μ₀πr²Nnα

B

μ₀πr²Nnα/t

C

μ₀πr²Nnαt

D

μ₀πr²N²nα

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