Capacitors

Q. For a charged parallel plate capacitor shown in the figure, the force experienced by an alpha particle

1. maximum at C
2. zero at A
3. same at B and C
4. zero at C

Q. Capacitors are used in electrical circuits where appliances need rapid:-

1. Current
2. Voltage
3. Watt
4. Resistance

Q. A capacitor $C_1=1.0\mu F$ is charged up to a voltage $V=60V$ by connecting it to a battery $B$ through the switch (1). Now $C_1$ is disconnected from battery and connected to a circuit consisting of two uncharged capacitors $C_2=3.0\mu F$ and $C_3=6.0\mu F$ through a switch (2) as shown in the figure. The sum of final charges on $C_2$ and $C_3$ is:

1. $40\mu C$
2. $36\mu C$
3. $54\mu C$
4. $20\mu C$

Q. A parallel-plate air capacitor of capacitance $245pF$ has a charge of magnitude $0.148\mu C$ on each plate. The plates are $0.328mm$ apart. What is the area of each plate?

Q. In the circuit shown in figure $C=6\mu F$. The charge stored in capacitor of capacity $C$ is?

1. $Zero$
2. $90\mu C$
3. $40\mu C$
4. $60\mu C$

Q. The charge on the capacitor in steady state is :-

1. $2$ $\mu C$
2. $4$ $\mu C$
3. $6$ $\mu C$
4. $8$ $\mu C$

Q. Write the application of capacitors.

Q. Three conducting bodies A(solid sphere), B(hollow sphere) and C(hollow sphere with thickness R) are arranged as shown in the figure. A charge $q$ is given to the inner sphere. Match the statements from List I with the values in List II and select the correct answer using the code given below the lists.

	Column-I		Column-II
(A)	When $S_1,S_2$ both are open, capacity of the system is $C_1$, then $C_1$ is	(p)	$16\pi {ϵ}_{0}R$
(B)	When $S_1$ is closed but $S_2$ is open, capacity is $C_2$, then $C_2$ is	(q)	$\frac{16\pi {ϵ}_{0}R}{3}$
(C)	When $S_2$ is closed but $S_1$ is opened, capacity is $C_3$, then $C_3$ is	(r)	$\frac{48\pi {ϵ}_{0}R}{5}$
(D)	When both $S_1$ and $S_2$ are closed, capacity is $C_4$, then $C_4$ is	(s)	$\frac{48\pi {ϵ}_{0}R}{11}$

Q. The unit to measure capacitance of a capacitor is coulomb.

1. True
2. False

Q. A capacitor having capacitance $1\mu F$ with air, is filled with two dielectrics as shown. How many times capacitance will increase?

1. $12$
2. $6$
3. $\frac{8}{3}$
4. $3$