A battery with EMF 6.0 Volts and internal resistance 0.1 ohms

is connected by a long wire to a resistor R = 8.0 ohms. The
wire goes around a solenoid. The
solenoid has 4000 turns per meter and area 25 cm^2.
a) If the current in the solenoid is I = 200 Amps and is
constant, then what is the current through the 8 ohm resistor?
b) If the current in the solenoid is I(t) = 200 cos(120(pi)t),
then what is the maximum current through the 8 n resisĀ­
tor?
c) Is the battery ever being charged when the current in
the solenoid is I(t) = 200cos(120(pi)t)?