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Induced EMF in a Coil Inside a Solenoid
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A solenoid with n turns per unit length carries a current that increases linearly with time according to I = αt, where α is a constant. A small circular coil with N turns and radius r is placed inside the solenoid with its axis aligned with the solenoid’s axis. What is the magnitude of the induced emf in the small coil?

A

μ₀πr²Nnα/t

B

μ₀πr²Nnα

C

μ₀πr²Nnαt

D

μ₀πr²N²nα

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