Answer:
(a) The impedance in the circuit is
.
(b)The resistance is
.
(c) The inuctance is 0.57 H.
Explanation:
(a)
The expression for the impedance is as follows:

Here,
is the rms voltage and
is the rms current.
Put
and
.


Therefore, the impedance in the circuit is
.
(b)
The expression for the average power is as follows;

Here,
is the average power and R is the resistance.
Calculate the resistance by rearranging the above expression.

Put
and


Therefore, the resistance is
.
(c)
The expression for the impedance is as follows;

Here,
is the inductive reactance.
Put
and
.


The expression for the inductive reactance in terms of frequency is as follows;

Here, L is the inductance.
Calculate the inductance by rearranging the above expression.

Put
and f=50Hz.

L=0.57 H
Therefore, the inuctance is 0.57 H.