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Q.

Circuit diagram of metre bridge is shown in figure. The null point is found at a distance of 40 cm from A. If now a resistance of $12 Ω$ is connected in parallel with S, the null point occurs at 64 cm. Determine the value of R and S.

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a

$\frac{40}{3} Ω, 20 Ω$

b

$11 Ω, 22 Ω$

c

$\frac{10}{3} Ω, 10 Ω$

d

$\frac{80}{3} Ω, 40 Ω$

answer is A.

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Detailed Solution

$\frac{40}{60} = \frac{R}{S}$ ; $\frac{2}{3} = \frac{R}{S}$ ..... (1)

$\frac{64}{36} = \frac{R (12 + S)}{12 S}$ ;

$\frac{16}{9} = \frac{R (12 + S)}{12 S}$ ...... (2)

$\frac{(1)}{(2)} \Rightarrow S = 20 Ω, R = \frac{40}{3} Ω$

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Circuit diagram of metre bridge is shown in figure. The null point is found at a distance of 40 cm from A. If now a resistance of 12Ω is connected in parallel with S, the null point occurs at 64 cm. Determine the value of R and S.