In the circuit shown the cells A and B have negligible resistances. For V A =10 V, R 1=300 Ω and R =200 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 V A =10 V, R 1=300 Ω and R =200 Ω the galvanometer (G) shows no deflection. The value of VB is :- (A) 12 V (B) 6 V (C) 4 V (D) 2 V

Tardigrade Admin · Accepted Answer

VB= Voltage Across R ⇒ VB=(VA/R1+R) ⋅ R =(10/300+200) ⋅ 200 ⇒ VR=(10/5) × 2=4 V

Q. In the circuit shown the cells A and B have negligible resistances. For $V_{A} = 10 V, R_{1} = 300 Ω$ and $R = 200 Ω$ the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is :-

12 V

6 V

4 V

2 V

$V_{B} =$ Voltage Across $R$
$\Rightarrow V_{B} = \frac{V _{A}}{R _{1} + R} \cdot R$
$= \frac{10}{300 + 200} \cdot 200$
$\Rightarrow V_{R} = \frac{10}{5} \times 2 = 4 V$

Q. In the circuit shown the cells A and B have negligible resistances. For VA​=10V,R1​=300Ω and R=200Ω the galvanometer (G) shows no deflection. The value of VB​ is :-

12 V

6 V

4 V

2 V

VB​= Voltage Across R ⇒VB​=R1​+RVA​​⋅R =300+20010​⋅200 ⇒VR​=510​×2=4V

Q. In the circuit shown the cells A and B have negligible resistances. For $V_{A} = 10 V, R_{1} = 300 Ω$ and $R = 200 Ω$ the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is :-

$V_{B} =$ Voltage Across $R$
$\Rightarrow V_{B} = \frac{V _{A}}{R _{1} + R} \cdot R$
$= \frac{10}{300 + 200} \cdot 200$
$\Rightarrow V_{R} = \frac{10}{5} \times 2 = 4 V$