RCL Impedance Voltage

Question

Answer 1

(a)

Step 1:

Observe the circuit:

The input sine voltage is .

Compare the function with .

Here , and .

,  are in parallel.

.

Step 2:

and are in series.

The total impedance is .

.

The total impedance is .

Solution:

The total impedance is .

Answer 2

(b)

Step 1:

Observe the circuit:

The input sine voltage is .

Compare the function with .

Here , and .

in polar form can be written as .

.

The sine voltage can be written as .

can be written in complex form as .

Step 2:

From (a):

The total impedance is .

Find the total current.

The total current is .

.

Find the voltage across the inductor.

.

can be written in polar form as .

Solution:

.