In the circuit shown the cells A and B have negligible resistances. For VA=12 V , R i =500 Ω and R=100 Ω the galvanometer ( G ) shows no deflection. The value of VB is

Question

In the circuit shown the cells A and B have negligible resistances. For VA=12 V , R i =500 Ω and R=100 Ω the galvanometer ( G ) shows no deflection. The value of VB is (A) 4 V (B) 2 V (C) 12 V (D) 6V

Tardigrade Admin · Accepted Answer

Since the galvanometer shows no deflection so current will flow as shown in the figure.

Current,

I = \frac{V _{A}}{R _{1} + R} = \frac{12 V}{( 500 + 100 ) Ω} = \frac{12}{600} A

V_{B} = I R = (\frac{12}{600} A) (100Ω) = 2 V

Q. In the circuit shown the cells A and B have negligible resistances. For VA​=12V,Ri​=500Ω and R=100Ω the galvanometer ( G ) shows no deflection. The value of VB​ is

4 V

2 V

12 V

6V

Since the galvanometer shows no deflection so current will flow as shown in the figure. Current, I=R1​+RVA​​=(500+100)Ω12V​=60012​A VB​=IR=(60012​A)(100Ω)=2V

Q. In the circuit shown the cells $A$ and $B$ have negligible resistances. For $V_{A} = 12 V, R_{i} = 500Ω$ and $R = 100 Ω$ the galvanometer ( $G$ ) shows no deflection. The value of $V_{B}$ is

Since the galvanometer shows no deflection so current will flow as shown in the figure.

Current, $I = \frac{V _{A}}{R _{1} + R} = \frac{12 V}{( 500 + 100 ) Ω} = \frac{12}{600} A$
$V_{B} = I R = (\frac{12}{600} A) (100Ω) = 2 V$