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4 July, 16:50

Find the equivalent resistance Req between terminals a and b if terminals c and d are open and again if terminals c and d are shorted together. (Round the final answers to two decimal places.) With terminals c-d open, Req = Ω. With terminals c-d shorted, Req = Ω.

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  1. 4 July, 20:04
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    351 ohm

    720 ohm

    Explanation:

    When c and d are open:

    Terminals c and d are open ... If you redraw the circuit as below, you can see that the two resistors in the first column are in parallel as, they are connected together at both pairs of terminals (due to the short).

    Hence, we have a pair of parallel resistors:

    Req1 = (R1*R2) / (R1 + R2) = 360*540 / (360+540) = 216 ohms

    Req2 = (R3*R4) / (R3 + R4) = 180*540 / (180+540) = 135 ohms

    Now these two sets are in series with another Hence,

    Req = Req1 + Req2 = 216 + 135 = 351 ohms

    Answer: 351 ohms

    When c and d are shorted:

    The current will flow through the least resistant path naturally from resistors R3 and R1 or R4.

    Both of these resistor lie in a single path placing the resistors in series to one another, hence

    Req = R3 + R1 = 180 + 540 = 720 ohms

    Answer:720 ohms
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