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    If the voltage applied to a load is 100 sin 500t and current through the load is 10sin (500t + 60°), then the power consumed by the load is:
    Question

    If the voltage applied to a load is 100 sin 500t and current through the load is 10sin (500t + 60°), then the power consumed by the load is:

    A.

    750W

    B.

    500 W

    C.

    250 W

    D.

    1000 w

    Correct option is C

    Given, V=100sin500tI=10sin(500t+60)P=1002×102×cos60P=250 W\text{Given, } V = 100 \sin 500t \\I = 10 \sin (500t + 60^\circ) \\P = \frac{100}{\sqrt{2}} \times \frac{10}{\sqrt{2}} \times \cos 60^\circ \\P = 250 \, \text{W}​​

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