What is the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires

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What is the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires

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RobertKer 5 years 2021-08-11T18:37:22+00:00 1 Answers 174 views 1

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  1. lethu
    0
    2021-08-11T18:39:13+00:00
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    Answer:

    7.4 Ω

    Explanation:

    Let,

    R1 = 5 Ω

    R2 = 4 Ω

    R3 = 6 Ω

    R1 is connected series.

    R2 and R3 are connected in parallel.

    1 / Rp = 1 / R2 + 1 / R3

    = 1 / 4 + 1 / 6

    = 3 / 12 + 2 / 12

    1 / Rp = 5 / 12

    Rp = 12 / 5 = 2.4 Ω

    Effective resistance

    = R1 + Rp

    = 5 + 2.4

    = 7.4 Ω

    Therefore, the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires is

    7.4 Ω.

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