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A very long, straight solenoid with a cross-sectional area of 2.12 cm2 is wound with 91.6...

A very long, straight solenoid with a cross-sectional area of 2.12 cm2 is wound with 91.6 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i(t)= ( 0.180 A/s2 )t2. 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

Number of turns, N = 91.6 turns/cm = 9160 turn/meter

The field inside the long solenoid is given by,

  

Area A =

Emf = rate of change of flux linkage

If T is the time at which the current = 3.2A

emf induced in the secondary coil =

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