Question

An electrical engineer is working with a parallel AC circuit. The circuit has 6 ohms on a resistive branch, and the angle of the total impedance is 35°. What is the approximate total impedance?
4.91 amps
7.32 amps
8.57 amps
10.46 amps

Answer 1

Answer:

The approximate total impedance is 7.32ohms

Step-by-step explanation:

The formula for finding the phase angle between the current and source voltage of a simple AC circuit is derived from the relationship:

Cos θ = R/Z

From the formula we can get impedance Z given θ and R

θ is the angle of the total impedance

R is the resistance

Z is the total impedance

Given θ = 35°

R = 6ohms

Z =?

Cos 35° = 6/Z

Z = 6/cos35°

Z = 6/0.819

Z = 7.32ohms