In the circuit shown in the figure,the readin | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The voltmeter measures the potential difference across the parallel combination of the resistors connected to the switches. Let the $EMF$ of the b

Vedclass · Accepted Answer

$V_2 > V_1 > V_3$

Vedclass · Answer

(B) The voltmeter measures the potential difference across the parallel combination of the resistors connected to the switches. Let the $EMF$ of the battery be $E$ and the internal resistance be negligible.$1$. When only $S_1$ is closed,the circuit consists of a resistor $R$ in series with $3R$. The potential difference across the voltmeter is given by the voltage divider rule:$V_1 = E 	imes \frac{3R}{R + 3R} = E 	imes \frac{3}{4} = 0.75E$$2$. When only $S_2$ is closed,the circuit consists of a resistor $R$ in series with $6R$. The potential difference across the voltmeter is:$V_2 = E 	imes \frac{6R}{R + 6R} = E 	imes \frac{6}{7} \approx 0.857E$$3$. When both $S_1$ and $S_2$ are closed,the resistors $3R$ and $6R$ are in parallel. Their equivalent resistance $R_p$ is:$R_p = \frac{3R 	imes 6R}{3R + 6R} = \frac{18R^2}{9R} = 2R$The circuit now consists of $R$ in series with $2R$. The potential difference across the voltmeter is:$V_3 = E 	imes \frac{2R}{R + 2R} = E 	imes \frac{2}{3} \approx 0.667E$Comparing the values: $0.857E > 0.75E > 0.667E$,which means $V_2 > V_1 > V_3$.

In the circuit shown in the figure,the reading of the voltmeter is $V_1$ when only $S_1$ is closed,the reading of the voltmeter is $V_2$ when only $S_2$ is closed,and the reading of the voltmeter is $V_3$ when both $S_1$ and $S_2$ are closed. Then:

Similar Questions

$A$ gas is filled in a cylinder. Its temperature is increased by $20\%$ on the Kelvin scale and its volume is reduced by $10\%$. How much percentage of the gas will leak out at constant pressure?

If the angle of intersection at a point where the two circles with radii $5 \ cm$ and $12 \ cm$ intersect is $90^{\circ}$,then the length (in $cm$) of their common chord is

$A$ neutral atom has $2, 8,$ and $7$ electrons in $K, L,$ and $M$ shells respectively. What is the total number of electrons in the $p$-orbitals?

Which of the following fluxes is used to remove acidic impurities in metallurgical process?

Which property of hydrogen distinguishes it from alkali metals?

Vedclass Test Series

Exam Paper Generator

Online Exam Module