A circular coil of wire with 70.0 Loops and a radius of 0.250 m is placed in a magnetic field of 10.0 T and oriented so that the coil is perpendicular to the field. The magentic field changes in a sinosoidal manner so that its direction is completely reversed every 4.00 s. The resistance of the wire is 160 \(\Omega\).
a) Find the maximum magnitude of the voltage induced across the coil.
b) Find the maximum magnitude of the current induced in the coil.
c) Find the maximum power developed in the coil.
d) Sketch a graph of the voltage induced across the coil as a function of time for the 10.0 s following it's maximum positive value.