A series RL circuit with the values R= 40 ohms and L= 8 Henry is given.

The input to this circuit is a periodic signal of current i(t) for all time:

i(t)= 10 sin ( 5 t).

1.1  Derive the output voltage across the series circuit as a function of time in standard form.

1.2  Convert the output voltage to laboratory form.

1.3  Convert the output voltage to exponential form.

1.4  Derive the average power delivered to the resistor in one cycle of the input signal.

1.5  Derive the average power delivered to the series element in one cycle.