In the circuit shown in the figure,no current | vedclass

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

Question

(A) Let the potential at the left junction be $V_L$ and at the right junction be $V_R$. Since no current flows through the ammeter,the potential at th

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Let the potential at the left junction be $V_L$ and at the right junction be $V_R$. Since no current flows through the ammeter,the potential at the point between $R$ and the battery is the same as the potential between the $40 \, \Omega$ and $20 \, \Omega$ resistors.Let the current through the upper branch be $I_1$ and the lower branch be $I_2$. Given total current is $0.5 \, A$,so $I_1 + I_2 = 0.5 \, A$.In the lower branch,the current $I_2 = 0.1 \, A$ flows through both $40 \, \Omega$ and $20 \, \Omega$ resistors in series.The potential drop across the $40 \, \Omega$ resistor is $V_{40} = I_2 	imes 40 = 0.1 	imes 40 = 4 \, V$.The potential drop across the $20 \, \Omega$ resistor is $V_{20} = I_2 	imes 20 = 0.1 	imes 20 = 2 \, V$.Since no current flows through the ammeter,the potential difference across the upper branch must equal the potential difference across the lower branch.For the upper branch,$I_1 = 0.5 - 0.1 = 0.4 \, A$.The potential difference across the upper branch is $V_R + V_{battery} = I_1 	imes R + 2 \, V$.Equating the potential drops: $I_1 	imes R + 2 = V_{40} = 4 \, V$.$0.4 	imes R + 2 = 4 \Rightarrow 0.4 	imes R = 2 \Rightarrow R = \frac{2}{0.4} = 5 \, \Omega$.

In the circuit shown in the figure,no current flows through the ideal ammeter. If the internal resistance of the cell is negligible,the value of unknown resistance $R$ is .............. $\Omega$.

Similar Questions

$A$ battery with an internal resistance of $4 \Omega$ is connected to a circuit consisting of three resistors,$R$,$2R$,and $4R$,as shown in the figure. If the power generated in the circuit is maximum,then the magnitude of $R$ must be: (in $\Omega$)

As shown in the figure,the voltmeter reads $2\,V$ across the $5\,\Omega$ resistor. The resistance of the voltmeter is $.......\,\Omega$.

In the circuit shown in the figure,the current flowing in the $2\,\Omega$ resistance is ............... $A$.

By a cell,a current of $0.9\, A$ flows through a $2\, \Omega$ resistor and $0.3\, A$ flows through a $7\, \Omega$ resistor. The internal resistance of the cell is ............ $\Omega$.

In the circuit shown, if the current through the resistor $R$ is $\frac{1}{5} \, A$, the value of $R$ is (in $\Omega$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module