A bundle of 50 circular loops with radius of 0.05 m is nested inside of a solenoid. The solenoid has a turn density of 30 turns/cm and is carrying a clockwise current of 0.25 A.
Side view:
Front View:
loop bundle solenoid
$I_s = 0.25 A$
a) In order to cancel the magnetic field of the solenoid at the center of the loop bundle, determine the direction and magnitude of current necessary to accomplish this.
b) Suppose the system were reset to no currents. Then, at $t = 0$ sec, a current defined as $i(t) = 2t^2e^{-3t}$ was applied to the solenoid. Determine the flux and the emf values in the loop bundle at $t = 2.5$ sec.
