AC Circuit Current Source

Question

Answer 1

(a)

Observe the circuit:

The input current is .

Compare the function with .

Here .

Find the total impedance.

and are in series.

and are in parallel.

is in series with .

 can be written in polar form as .

Answer 2

(b)

Step 1:

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 .

Step 2:

Draw the equivalent circuit:

Find the voltage across the impedance .

A parallel network has same voltage.

From (a):

Same amount of current flows through and , therefore

can be written in polar form is

Solution:

Answer 3

(c)

From (b): Current through is

Find the voltage across the inductor .

Find the inductive impedance .

can be written in polar form as .

Find the voltage across the inductor.

Voltage across the inductor is