Find the charge on the capacitor $C$ in the following circuit ............ $\mu C$
Medium
Download our app for free and get started
The capacitor branch will not allow charge to pass through it
$\therefore $ Current in the circuit $\mathrm{I}=\frac{12}{6+2}=\frac{3}{2} \mathrm{\,amp}$
Potential difference across $2\, \mu \mathrm{F}$ is same as across $6\, \Omega$ resistance.
So, potential difference across capacitor of
$2\, \mu \mathrm{F}=6 \times \frac{3}{2}=9$ $\mathrm{volt}.$
$\therefore $ Charge on capacitor $=2 \times 9 \mu C=18\, \mu C$
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
- 1Three resistors having resistances $\mathrm{r}_{1}, \mathrm{r}_{2}$ and $\mathrm{r}_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :View Solution
- 2Two cells, having the same $e.m.f.$ are connected in series through an external resistance $R.$ Cells have internal resistances $r_1$ and $r_2\,\, (r_1 > r_2)$ respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of $R$ isView Solution
- 3An electric kettle has two heating coils. When one coil is used, water in the kettle boils in $5$ minutes, while when second coil is used, same water boils in $10\,\min$. If the two coils, connected in parallel are used simultaneously, the same water will boil in timeView Solution
- 4View SolutionThe material of fuse wire should have
- 5Resistance of tungsten wire at $150\,^oC$ is $133\,\Omega $. Its resistance temperature coefficient is $0.0045\,^oC$. The resistance of this wire at $500\,^oC$ will be .............. $\Omega$View Solution
- 6When three identical bulbs of $60 \;W, 200\;V$ rating are connected in series to a $200 \;V$ supply, the power drawn by them will be ....... $Watt$View Solution
- 7Assume a hypothetical wire in which free electron density changes with temperature in proportionality $n\ \alpha \ T$ assuming $\tau $(Relaxation time of collision) and dimensions of wire remain unchanged with increasing temperature. Which one of the resistance $v/s$ temperature graph is trueView Solution
- 8Resistances of $6\, ohm$ each are connected in the manner shown in adjoining figure. With the current $0.5\,ampere$ as shown in figure, the potential difference ${V_P} - {V_Q}$ is .............. $V$View Solution
- 9A $60\, watt$ bulb carries a current of $0.5\, amp$. The total charge passing through it in $1$ hour is ............ $coulomb$View Solution
- 10A current of $2\, A$ passing through conductor produces $80\, J$ of heat in $10$ seconds. The resistance of the conductor is ............ $\Omega$View Solution