Question

In the given circuit diagram, in the steady state, the current through the battery and the charge on the Capacitor respectively are.

• A. $2Aand3\mu C$
• B. $11Aand3\mu C$
• C. $\frac{6}{11}Aand\frac{12}{7}\mu C$
• D. Zero ampere and
  $3\mu F$

Answer 1

The correct option is B $11Aand3\mu C$

At steady state, current through capacitor is zero, because capacitor get fully charged.

Current through resistor $4\Omega$ gets zero.

Total resistance

$\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}=\frac{11}{6}$

$R_{total}=\frac{6}{11}\Omega$

$I=\frac{V}{R_{total}}=\frac{6}{\frac{6}{11}}=11A$

Fully charge capacitor $Q=CV=0.5\times {10}^{-6}\times 6=3\mu C$

Current is $11A$ and charge $3\mu C$