The four resistors 5Ω, 15Ω 3Ω and 30Ω are connected in parallel and connected to the circuit. What is the equivalent resistance of this res

Question

The four resistors 5Ω, 15Ω 3Ω and 30Ω are connected in parallel and connected to the circuit. What is the equivalent resistance of this resistor connection?​

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Nick 5 years 2021-07-24T08:59:59+00:00 1 Answers 20 views 0

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  1. Euphemia
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    2021-07-24T09:01:57+00:00
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    Answer: 1.58Ω

    Explanation:

    R1 = 5Ω

    R2 = 15Ω

    R3 = 3Ω

    R4 = 30Ω

    The equivalent resistance of the resistor connection (Rtotal) of the four resistors connected in parallel is obtained by adding the reciprocal of each resistance.

    i.e 1/Rtotal = (1/R1 + 1/R2 + 1/R3 +1/R4)

    1/Rtotal = (1/5Ω + 1/15Ω + 1/3Ω + 1/30Ω)

    Make 30Ω the lowest common multiple

    1/Rtotal = (6 + 2 + 10 + 1)/30Ω

    1/Rtotal = 19/30Ω

    To get the value of Rtotal, cross multiply

    1 x 30Ω = Rtotal x 19

    30Ω = Rtotal x 19

    Rtotal = 30Ω/19

    Rtotal = 1.58Ω

    Thus, the equivalent resistance of this resistor connection is 1.58Ω

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