You connect three resistors with resistances R, 2R, and 3R in parallel. The equivalent resistance of the three resistors will have a value t

Question

You connect three resistors with resistances R, 2R, and 3R in parallel. The equivalent resistance of the three resistors will have a value that is

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Linh Đan 5 years 2021-08-15T21:08:36+00:00 1 Answers 41 views 0

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  1. trucchi
    0
    2021-08-15T21:09:53+00:00
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    Answer:

    The equivalent is 6R/11

    Explanation:

    We know that the equivalent resistance of resistors connected in parallel is expressed as

    \frac{1}{Re} =\frac{1}{R1} +\frac{1}{R2}+\frac{1}{R3}\\\\\frac{1}{Re} =\frac{1}{R} +\frac{1}{2R}+\frac{1}{3R}\\

    the L.C.M is 6R

    \frac{1}{Re} =\frac{6+3+2}{6R} = \frac{11}{6R} \\\\Re= \frac{6R}{11}

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