When the capacitor is fully charged, work done by cell is $W=n_1\times C{V}^2$, the energy stored in the capacitor is $U=n_2\times C{V}^2$ and the heat produced across resistor is, $H=n_3\times C{V}^2$. Then the values of $n_1, n_2 \& n_3$ are respectively

Find charge on capacitor in steady state.

If at $t=0{\mathrm{key}}^{\text{'}}K$ is pressed then find maximum current in the circuit if initially charge on capacitor is zero.

In the four circuits, the time constant are ${\tau }_1=CR, {\tau }_2=4CR, {\tau }_3=\frac{CR}{4}, {\tau }_4=CR$

then

Find value of time constant in the following circuit.

In the given circuit at $t=0, S$ is closed, then at time $t, \frac{i_1}{i_2}$

 The resistances $500\mathrm{\Omega }$ and $1000\mathrm{\Omega }$ are connected in series with a battery of $1.5 \mathrm{V}$. The voltage across the $1000\mathrm{\Omega }$ resistance is measured by a voltmeter having a resistance of $1000\mathrm{\Omega }$. The reading in voltmeter would be