Observe the circuit:

The input sine voltage is .

Compare the function with .

Here .

and are in series.

and are in parallel.

is in series with .

 can be written in polar form is .

Observe the circuit:

The input sine voltage is .

Compare the function with .

in polar form can be written as .

The sine voltage can be written as

can be written in complex form as .

Draw the equivalent circuit:

The current in a series network is same.

Find the voltage across the impedance .

Voltage for a parallel network have same voltage.

Same amount of current flows through and , therefore

can be written in polar form is .

(c)

From (b): Current through is

Find the voltage across the inductor .

Find the inductance impedance .

can be written in polar form is .

Find the voltage across the inductor.