Question

An electrical circuit is shown in the given figure. The resistance of each voltmeter is infinite and each ammeter is 100$\Omega$. The charge on the capacitor of 100 $\mu$ F in steady state is 4 mC. Choose correct statements(s) regarding the given circuit.

• A. Reading of voltmeter $V_2$ is 16 V
• B. Reading of ammeter $A_1$ is zero and $A_2$ is \frac{1}{25}A\)
• C. Reading of voltmeter $V_1$ is 40 V
• D. EMF of the ideal cell is 66 V

Answer 1

Answer: (B), (C)

The correct options are
B Reading of ammeter $A_1$ is zero and $A_2$ is \frac{1}{25}A\)
C Reading of voltmeter $V_1$ is 40 V

In steady state current through capacitor wire is zero. Current flows through $200\Omega ,900\Omega and{A}_2$. $V_c=\frac{q}{C}=\frac{4\times {10}^{-3}}{100\times {10}^{-6}}=40V$ This is also potential drop across $900\Omega$ resistance and $100\Omega$ ammeter A2(Total resistance = 1000$\Omega$). Now, this 1000$\Omega$ and 200$\Omega$ are in series. Therefore, $V_2=V_{200\Omega }=\frac{V_{1000\Omega }}{5}=\frac{40}{5}=8V$ $EMF=V_{V_{1000\Omega }}+V_{200\omega }=48Vi=\frac{EMF}{Netresistance}=\frac{48}{1200}=\frac{1}{25}A$