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13 December, 06:49

If two resistors of value r are connected in series and then in parallel, what is the difference in equivalent resistance in both cases?

a) 0 b) 3R/2 c) R/2 d) 2/R

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  1. 13 December, 07:09
    0
    b) 3R/2

    Explanation:

    When in series, the equivalent resistance is:

    R = r + r

    R = 2r

    When in parallel, the equivalent resistance is:

    R = (1/r + 1/r) ⁻¹

    R = (2/r) ⁻¹

    R = r/2

    The difference is:

    ΔR = 2r - r/2

    ΔR = 3r/2
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