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10/01/2022 12:56 pm
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The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8. The value of x is _______.
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10/01/2022 1:04 pm
Req open = \(\frac{3R}{2}\)
Req closed = 2 x \(\frac{R \times 2R}{3R}\)
= \(\frac{4R}{3}\)
\(\frac{R_{eq \ open}}{R_{eq \ closed}}\) = \(\frac{3R}{2}\)x \(\frac{3}{4R}\)
= \(\frac{9}{8}\)
∴ x = 9