A 20.0 Ω, 12.0 Ω, and 7.00 Ω resistor are connected in parallel to an emf source. A current of 8.00 A is in the 12.0 Ω resistor. Calculate t

Question

A 20.0 Ω, 12.0 Ω, and 7.00 Ω resistor are connected in parallel to an emf source. A current of 8.00 A is in the 12.0 Ω resistor. Calculate the equivalent resistance of the circuit. Answer in units of Ω.

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Khoii Minh 4 years 2021-07-26T22:01:33+00:00 1 Answers 14 views 0

Answers ( )

  1. Jezebel
    0
    2021-07-26T22:03:12+00:00
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    Answer:

    3.62 ohms

    Explanation:

    Equivalent resistance in parallel is given as

    The equivalent resistance of 20.0Ω, 12Ω, and 7Ω all in parallel

    \frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

    now we have

    \frac{1}{R} = \frac{1}{20} + \frac{1}{12} + \frac{1}{7}

    \frac{1}{R} = \frac{84+140+240}{1680}

    \frac{1}{R} = \frac{464}{1680}

    R = \frac{1680}{464}

    R = 3.62ohms

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