Charging of Capacitors

Q. Capacitors only allow a current to flow (Choose all correct options)

1. When charging
2. When discharging
3. At all times
4. When not connected to a circuit.

Q. I'm charging a 5mF capacitor with a 5V battery through a $5\Omega$ resistor. When can I expect it to be fully charged?

1. After 5 sec
2. After 5 days
3. After 5 years
4. Never

Q.
Three capacitors $C_1=3\mu F,C_2=6\mu F$ and $C_3=2\mu F$ are connected as shown in figure. The ratio of the charges on capacitor $C_1$ and $C_2$ is

Q.

An RC circuit consists of a resistance R = 5 MΩ and a capacitance C = 1.0 μF connected in series with a battery. In how much time will the potential diffrence across the capacitor become 8 times that across the resistor? (Given $lo{g}_e\left(3\right)=1.1$ )
(IIT-JEE 2005)

1. 5.5 s

2. 11 s

3. 44 s

4. 88 s

Q. Time constant of a capacitor and capacitance are 5s and $100nF$. It is charged from zero by a cell of emf$10V$ through a resistor. The charge on it after 3 s is.

1. $4.5\times {10}^{-6}C$
2. $9\times {10}^{-6}C$
3. $4.5\times {10}^{-7}C$
4. $9\times {10}^{-7}C$

Q. If a capacitor of 10mF is being charged by a battery of 1V, the maximum charge it can charge to will be.

1. 1mC
2. 10mC
3. 100mC
4. 1C

Q. The time constant of a circuit where a capacitor $C=10nF$ is being charged connected to a cell through a resistor of $10\Omega$ is.

1. $100ns$
2. $1ns$
3. $10ns$
4. $1000ns$

Q. Charging a 5 mF capacitor with a 5 V battery through a $5\Omega$ resistor, for it to be fully charged it takes.

1. 5 days
2. 5 seconds
3. infinite time
4. 5 years

Q. If a capacitor of $10\mu F$ is charged to 10V and then connected to a new circuit to discharge through a$10\Omega$ resistor, the charge on it after $20\mu s$ is.

1. $72\mu C$
2. $82\mu C$
3. $62\mu C$
4. $52\mu C$

Q.
In the circuit shown is figure, switch is closed then find the work done by battery till next steady state is achieved.

1. $400nJ$
2. $600nJ$
3. $300nJ$
4. $200nJ$