Two solenoids are nested. The outer solenoid contains 1500 turns and has a radiu

Question

Two solenoids are nested. The outer solenoid contains 1500 turns and has a radius of 0.86 m. The inner solenoid has 350 turns and a radius of 0.05 m. At a certain time, the inner solenoid's current reads 0.21 A, and is increasing at an unknown rate.

A) If the mutual inductance M= 4.0 * 10^(-4) H, what is the average magnetic flux through the inner solenoid?

B) When you measured the inner solenoid's current, you simultaneously measured the emf induced in the outer solenoid to be -0.070 V. At what rate is the current increasing?

Please show your work and, if possible, explain conceptually. Also, if answer is handwritten, please try to write neatly. Thanks!

Explanation / Answer

A.

We know, flux = B*A1

Here,

B = (mu0*N1*I)/L1

So,

flux = (mu0*N1*I*A1)/L1

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