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.

Question

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. (A) (40/3) Ω, 20 Ω (B) (10/3) Ω, 10 Ω (C) 11 Ω, 22 Ω (D) (80/3) Ω, 40 Ω

Tardigrade Admin · Accepted Answer

(40/60)=( R / S ) (2/3)=( R / S ) ...(1) (64/36)=( R (12+ S )/12 S ) (16/9)=( R (12+ S )/12 S ) ...(2) (1) /(2) S =20 Ω, R =(40/3) Ω

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

$\frac{40}{3} Ω, 20 Ω$

$\frac{10}{3} Ω, 10 Ω$

$11 Ω, 22 Ω$

$\frac{80}{3} Ω, 40 Ω$

$\frac{40}{60} = \frac{R}{S}$
$\frac{2}{3} = \frac{R}{S}$ ...(1)
$\frac{64}{36} = \frac{R ( 12 + S )}{12 S}$
$\frac{16}{9} = \frac{R ( 12 + S )}{12 S}$ ...(2)
$(1) / (2)$
$S = 20Ω, R = \frac{40}{3} Ω$

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

340​Ω,20Ω

310​Ω,10Ω

11Ω,22Ω

380​Ω,40Ω