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30 October, 16:13

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

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  1. 30 October, 19:52
    0
    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
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