Three resistors, 6.0-W, 9.0-W, 15-W, are connected in parallel in a circuit. What is the equivalent resistance of this combination of resist

Question

Three resistors, 6.0-W, 9.0-W, 15-W, are connected in parallel in a circuit. What is the equivalent resistance of this combination of resistors?

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Diễm Kiều 5 years 2021-08-14T23:42:50+00:00 1 Answers 22 views 0

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  1. thanhcong
    0
    2021-08-14T23:43:56+00:00
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    Answer:

    2.9Ω

    Explanation:

    Resistors are said to be in parallel when they are arranged side by side such that their corresponding ends are joined together at two common junctions. The combined resistance in such arrangement of resistors is given by;

    1/Req= 1/R1 + 1/R2 + 1/R3 ………+ 1/Rn

    Where;

    Req refers to the equivalent resistance and R1, R2, R3 …….Rn refers to resistance of individual resistors connected in parallel.

    Note that;

    R1= 6.0Ω

    R2 = 9.0Ω

    R3= 15.0 Ω

    Therefore;

    1/Req = 1/6 + 1/9 + 1/15

    1/Req= 0.167 + 0.11 + 0.067

    1/Req= 0.344

    Req= (0.344)^-1

    Req= 2.9Ω

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