Step 1:

(4.3)

The two branches current are A and A.

If the polar form of equation is then complex form of .

Complex form of equation is

Complex form of equation is

For parallel connection : .

Hence the resultant current is .

in polar form can be written as .

Hence

Compare the above equation with .

Here A and

Solution :

Step 1:

(4.4.1)

The two impedance of the circuit are  and .

Voltage applied is 270.825 V.

The two impedance are in series .

Step 2:

(4.4.2)

Find the current flowing in the circuit.

Current flowing in the circuit is .

Current flowing in the circuit .

Step 3 :

(4.4.3)

Current in first branch is .

Current in first branch is .

Step 4 :

(4.4.4)

The total power is .

The total power is .

Solution :

Step 5 :

(4.4.5)

Find Power Factor.

Current flowing in the circuit .

in polar form can be written as .

Power Factor of the circuit is .

.

Power Factor is 1 lead.

Solution :

Current flowing in the circuit .

Power Factor is 1 lead.