AC Circuit

Question

Answer 1

(1)

Step 1:

Millmans theorem:

Millman states that the voltage at the ends of the circuit is .

Where ,

is the resistance at the voltage sources and

is the resistance on the branch with no source or generators.

Find the Thevinins equivalent resistance of the circuit.

1.Open the load resistor.

2.Open Current Sources and Short Voltage Sources.

3.Calculate the Open Circuit Resistance. This is the Thevenin Resistance (R_TH).

Redraw the circuit :

Step 2:

Observe the circuit:

can be written in complex form as

can be written in complex form as .

Three impedances are in parallel.

.

Step 3:

Observe the circuit:

can be written in complex form as .

can be written in complex form as .

can be written in complex form as .

Substitute corresponding values in the .

.

can be written in polar form as .

Solution:

.