An infinte solenoid has a circular cross section of radius r = 0.5m and N = 1340 turns/m. The soleniod is connection to an AC source and at t = 0, the power is turned on.
The current is given by: I = 46.8cos(45.5t) where t is in seconds and I is in amperes.
a) Suppose a small coil (808 turns, radius of 0.00847m and resistence 1.62 ohms) is placed at the center of the soleniod, it's axis paralell to the axis of the soleniod. Find the rms current induced in the small coil.
b) Suppose a larger coil (36turns, radius of 5.23m and resistence 14.5ohms) is placed around the soleniod, it's axis paralell to the axis of the soleniod. Find the rms current induced in the large coil.