Capacitors and combinations in series and parallel — practice questions

Question 1 · difficulty L2 · understanding

A capacitor $P$ with capacitance $10 \times 10^{-6} \mathrm{~F}$ is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor $P$ is connected across another capacitor $Q$ with capacitance $20 \times 10^{-6} \mathrm{~F}$. The charge on capacitor $Q$ when equilibrium is established will be $\alpha \times 10^{-5} C$ (assume capacitor $Q$ does not have any charge initially), the value of $\alpha$ is $\_\_\_\_$ .

Question 2 · difficulty L2 · understanding

At steady state the charge on the capacitor, as shown in the circuit below, is _________ $\mu$C.

Question 3 · difficulty L2 · understanding

A capacitor of capacitance $$\mathrm{C}$$ and potential $$\mathrm{V}$$ has energy $$\mathrm{E}$$. It is connected to another capacitor of capacitance $$2 \mathrm{C}$$ and potential $$2 \mathrm{~V}$$. Then the loss of energy is $$\frac{x}{3} \mathrm{E}$$, where $$x$$ is _______.

Question 4 · difficulty L2 · understanding

In the given figure the total charge stored in the combination of capacitors is $100~ \mu \mathrm{C}$. The value of ' $x$ ' is _________.

Question 5 · difficulty L2 · understanding

A capacitor C 1 of capacitance 5 $$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C 2 of capacitance 10 $$\mu$$F as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C 2 is __________ $$\mu$$C.

Question 6 · difficulty L2 · understanding

The equivalent capacitance between points A and B in below shown figure will be __________ $$\mu$$F.

Question 7 · difficulty L2 · understanding

A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is ______________$$\mu$$C.

Question 8 · difficulty L2 · understanding

A 2$$\mu$$F capacitor C 1 is first charged to a potential difference of 10V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor C 2 of 8 $$\mu$$F. The charge in C 2 on equilibrium condition is ____________ $$\mu$$C. (Round off to the Nearest Integer)

Question 9 · difficulty L2 · understanding

Under steady state condition the potential difference across the capacitor in the circuit is $\_\_\_\_$ V.

• A. 0.5
• B. 1.5
• C. 0
• D. 2

Question 10 · difficulty L2 · understanding

Three parallel plate capacitors $C_1, C_2$ and $C_3$ each of capacitance $5 \mu \mathrm{~F}$ are connected as shown in figure. The effective capacitance between points $A$ and $B$, when the space between the parallel plates of $C_1$ capacitor is filled with a dielectric medium having dielectric constant of 4, is :

• A. $9 \mu \mathrm{~F}$
• B. $30 \mu \mathrm{~F}$
• C. $7.5 \mu \mathrm{~F}$
• D. $22.5 \mu \mathrm{~F}$