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A solenoid of length 50.0 cm is made of 11000 circular coils. It carries a steady...

A solenoid of length 50.0 cm is made of 11000 circular coils. It carries a steady current of 14.0 A . Near its center is placed a small, flat, circular metallic coil of 200 circular loops, each with a radius of 2.00 mm . This small coil is oriented so that it receives half of the maximum magnetic flux. A switch is opened in the solenoid circuit and its current drops to zero in 25.0 ms .

A. What was the initial flux through the small coil?

B. Determine the average induced emf in the small coil during the 25.0 ms .

C. If you look along the long axis of the solenoid so that the initial 14.0 A current is clockwise, determine the direction of the induced current in the small inner coil during the time the current drops to zero.

D. During the 25.0 ms , what was the average current in the small coil, assuming it has a resistance of 0.250 Ω ?

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