A $1\,\mu F$ capacitor is connected in the circuit shown below. The emf of the cell is $3\ volts$ and internal resistance is $0.5\ ohms$ . The resistors $R_1$ and $R_2$ have values $4\ ohms$ and $1\ ohm$ respectively. The charge on the capacitor in steady state must be.......$\mu C$
Medium
Download our app for free and get started
In steady state current in the branch containing the capacitor is zero and hence
$\mathrm{emf}$ $\mathrm{E}$ is shared between
$\mathrm{r} $ and $ \mathrm{R}_{2}=$ in the ratio of their resistance voltage across $\mathrm{R}_{2}$ is $\frac{\mathrm{ER}_{2}}{\mathrm{R}_{2}+\mathrm{r}}=2 \mathrm{\,Volts}$
$=$ Voltage across capacitor.
$\therefore $ $\mathrm{Q}=\mathrm{CV}_{\mathrm{c}}=2 \mu \mathrm{C}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1If you are provided three resistances $2 \,\Omega$, $3 \,\Omega$ and $6 \,\Omega$. How will you connect them so as to obtain the equivalent resistance of $4 \,\Omega$View Solution
- 2Two students $P$ and $Q$ perform an experiment to verify Ohm's law for a conductor with resistance $R$. They use a current source and a voltmeter with least counts of $0.1 mA$ and $0.1 \,mV$, respectively. The plots of the variation of voltage drop $V$ across $R$ with current $I$ for both are shown below. The statement which is most likely to be correct?View Solution
- 3View SolutionDiagram shows a circuit diagram choose incorrect statement
- 4Two resistances ${R_1}$ and ${R_2}$ are joined as shown in the figure to two batteries of $e.m.f.$ ${E_1}$ and ${E_2}$. If ${E_2}$ is short-circuited, the current through ${R_1}$ isView Solution
- 5Resistance across $A B$ as shown in figure is ............. $\Omega$View Solution
- 6View SolutionA constant voltage is applied between two ends of a metallic wire. If the length is halved and the radius of the wire is doubled, the rate of heat developed in the wire will be
- 7Which of the following wiring diagrams could be used to experimentally determine $R$ using ohm's law? Assume an ideal voltmeter and an ideal ammeter.View Solution
- 8View SolutionThe fact that the conductance of some metals rises to infinity at some temperature below a few Kelvin is called
- 9In the circuit shown, $A$ and $V$ are ideal ammeter and voltmeter respectively. Reading of the voltmeter will be ............... $V$View Solution
- 10A $10\, ohm$ electric heater operates on a $110\, V$ line. Calculate the rate at which it develops heat in ............... $watts$View Solution