Induced EMF in a Coil Inside a Solenoid
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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