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Calculating power factor with RLC in series

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  1. anderssok09 is offline Junior Member Pro Subscriber
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    Calculating power factor with RLC in series

    How would I calculate power factor based off of this question?

    In a AC 120V 60HZ circuit with a RLC in series calculate the power factor given Xc-3 XL=7 and R=4.

    The answer is 0.70, but I don't know how to come up with the answer

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  3. rofo42 is offline Seasoned Member
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    Quote Originally Posted by anderssok09 View Post
    How would I calculate power factor based off of this question?

    In a AC 120V 60HZ circuit with a RLC in series calculate the power factor given Xc-3 XL=7 and R=4.

    The answer is 0.70, but I don't know how to come up with the answer
    Z = Square root of R2+ (XL - XC)2

    Z = 42 + (7 - 3)2 = 5.656

    COS = R / Z

    4 / 5.65 = .707

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