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JEE Mains · Physics · STD 12 - 3. current electricity

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 ..... .

  1. A \(11\)
  2. B \(9\)
  3. C \(10\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(9\)

Step-by-step Solution

Detailed explanation

\(R_{e q \text { open }}=\frac{3 R}{2}\) \(R_{e q \text { closed }}=2 \times \frac{R \times 2 R}{3 R}=\frac{4 R}{3}\) \(\frac{{R}_{\text {eq open }}}{{R}_{\text {eq closed }}}=\frac{3 R}{2} \times \frac{3}{4 {R}}=\frac{9}{8}\) \(\therefore \quad {X}=9\)
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