In given meter bridge circuit length of wire AB is 1 m . When resistance X is shunted by R resistance then balancing length from A is found to be 20 cm. Find value of R :-

Question

In given meter bridge circuit length of wire AB is 1 m . When resistance X is shunted by R resistance then balancing length from A is found to be 20 cm. Find value of R :- (A) (6/7) Ω (B) (7/6) Ω (C) (1/3) Ω (D) (2/3) Ω

Tardigrade Admin · Accepted Answer

((6 R/6+R)/3)=(20/80)=(1/4) (6 R/6+R)=(3/4) ⇒ R=(6/7) Ω

Q. In given meter bridge circuit length of wire $A B$ is $1 m .$ When resistance $X$ is shunted by $R$ resistance then balancing length from $A$ is found to be $20 c m$ . Find value of $R$ :-

$\frac{6}{7} Ω$

$\frac{7}{6} Ω$

$\frac{1}{3} Ω$

$\frac{2}{3} Ω$

$\frac{\frac{6 R}{6 + R}}{3} = \frac{20}{80} = \frac{1}{4}$
$\frac{6 R}{6 + R} = \frac{3}{4}$
$\Rightarrow R = \frac{6}{7} Ω$

Q. In given meter bridge circuit length of wire AB is 1m. When resistance X is shunted by R resistance then balancing length from A is found to be 20cm. Find value of R :-

76​Ω

67​Ω

31​Ω

32​Ω