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A very long, straight solenoid with a cross-sectional area of 1.86 cm^2 is wound with 91.1...

A very long, straight solenoid with a cross-sectional area of 1.86 cm^2 is wound with 91.1 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i(t)= ( 0.162 A/s^2 )t^2. A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid.

What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A ?

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Answer #1

Find the flux through the secondary coil and use Faraday’s laws of electromagnetic induction to find the magnitude of EMF induced as shown below

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