Parallel and Series Combination of Capacitors

Q. We get maximum energy from a set of capacitors when they are connected in parallel combination.

1. True
2. False

Q.

Three condensers of capacity 4μF, 2μF and 3μF are connected such that 2μF and 3μF are in series and 4μF is parallel to them. The equivalent capacity of the combination is

1. 9μF
2. 2.6μF
3. 5.2μF
4. 10μF

Q. Find net capacitance between A & B

1. $6\mu F$
2. $7\mu F$
3. $\frac{8}{3}\mu F$
4. $\frac{9}{4}\mu F$

Q.

What is null voltage?

Q. Two identical capacitors are connected as shown and having initial charge $Q_0$. Separation between plates of each capacitor is $d_0$. Suddenly, the left plate of upper capacitor and right plate of lower capacitor starts moving with speed $v$ towards left while other plate of each capacitor remains fixed.
(given $\frac{Q_{0}V}{2d_0}=10\text{A}$). The value of current (in $\text{A}$) in the circuit is

Q.

Three capacitors are connected to DC source of 10volts shown in the

adjoining figure. If the charge accumulated on plates of C₁, C₂ and C₃ are

respectively, then

1. 

2. 

3. 

4. 

Q. A capacitor is made of two plates. The first plate is flat plate of area $A$ and second plate having a stair like structure as shown. The area of each stair is $\frac{A}{3}$ and height is $a$. Find the capacitance of the assembly if $C=$$\frac{{\epsilon }_{0}A}{a}$.

1. $\frac{11}{18}C$
   
2. $\frac{17}{18}C$
   
3. $\frac{13}{11}C$
   
4. $\frac{11}{13}C$
   

Q. Consider the figure. Each capacitor has capacitance C.
The equivalent capacitance between 4 and 5 is

1. $\left(\frac{3C}{4}\right)$
2. $\left(\frac{3C}{2}\right)$
3. $\left(\frac{3C}{5}\right)$
4. $\left(\frac{5C}{4}\right)$

Q. Find equivalent capacitance between $A$ and $B$. [Assume each conducting plate is having same dimensions and neglect the thickness of the plate, $\frac{{ϵ}_{0}A}{d}=7\mu F$ where $A$ is area of plates, $A>>d$]

1. $7\mu F$
2. $11\mu F$
3. $12\mu F$
4. $14\mu F$

Q. The configuration of the metal plate can be shown in figure. The area of each plate is A. The distance between each of the plates is d. Then the capacitance between A and B is

1. $\frac{3}{2}\frac{A{ϵ}_0}{d}$
2. $\frac{A{ϵ}_0}{d}$
3. $\frac{5}{2}\frac{A{ϵ}_0}{d}$
4. None of the above

Q. Consider the figure. Each capacitor has capacitance C.

The capacitance between 1 and 3 is

1. $\left(\frac{3C}{4}\right)$
2. $\left(\frac{3C}{2}\right)$
3. $\left(\frac{5C}{2}\right)$
4. $\left(\frac{5C}{4}\right)$

Q. In the given circuit the potential difference across the $4.5\mu F$ capacitor is

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

Q.

Each condenser in the figure shown has a capacity of 3 μF. The equivalent capacity between the terminals A and B is

1. 1 µF

2. 9 µF

3. 3 µF

4. Zero

Q.

Three capacitors each of capacitance 1μF are connected in parallel. To this

combination, a fourth capacitor of capacitance 1μF is connected in series.

The resultant capacitance of the system is

1. 4μF

2. 2μF

3. 4/3μF

4. 3/4μF

Q. Seven capacitors each of capacitance $2\mu F$ are connected in a configuration to obtain an effective capacitance $\frac{10}{11}\mu F$. Which of the following combination will achieve the desired result?

1. 
2. 
3. 
4. 

Q.

Following figure shows a network of capacitors where the numbers indicate capacitance in $\mu F.$ The equivalent capacitance between points A and B is

1. $\frac{28}{9}\mu F$
   

2. $\frac{32}{9}\mu F$
   

3. $4\mu F$
   

4. $\frac{40}{9}\mu F$

Q. A parallel plate capacitor is made by stacking n equally spaced plates connected alternately. If the capacitance between any two plates C is then the resultant capacitance is

1. C

2. nC

3. C/(n-1)

4. (n-1)C

Q. Each resistor shown in the figure is an infinite network of resistance $1\Omega$. The effective resistance between points $\text{A}$ and $\text{B}$ is
($\sqrt{3}=1.73$)

1. $1\Omega$
2. $3\Omega$
3. Less than $1\Omega$
4. More than $1\Omega$ but less than $3\Omega$

Q. In the given circuit the charge passing through the battery is $48\mu C$. The potential difference of capacitor $C$ is

1. $6\text{V}$
2. $8\text{V}$
3. $3\text{V}$
4. $4.5\text{V}$

Q. For given combination of capacitor where each capacitance is C

Potential of terminal P is

1. $33.3V$
2. $70V$
3. $60.6V$
4. $66.6V$

Q. When capacitors are connected in a series combination, all capacitors have the same charges but may have different potential.

1. False
2. True

Q. In the circuit given below potential difference across 6 $\mu$ F capacitor is

1. 8 V
2. 4 V
3. 6 V
4. 3 V

Q. Find equivalent capacitance between $A$ and $B$

1. $5\mu F$
2. $4\mu F$
3. $3\mu F$
4. $2\mu F$

Q.
Charge on $6\mu F$ capacitor is.

1. $8\mu C$
2. $10\mu C$
3. $4\mu C$
4. $3.5\mu C$

Q. In figure, three capacitors $C_1,C_2$ and $C_3$ are joined to a battery. With symbols having their usual meaning, the correct conditions will be

1. $Q_1=Q_2=Q_3$ and $V_1=V_2=V_3+V$
2. $Q_1=Q_2=Q_3$ and $V=V_1=V_2+V_3$
3. $Q_1=Q_2+Q_3$ and $V=V_1+V_2$
4. $Q_2=Q_3$ and $V_2=V_3$

Q. A certain number of identical condensers are first connected in series and then in parallel. If the equivalent capacities in the two cases are found to be in the ratio 1: 9, what is the number of condensers?

1. 9
2. 3
3. 27
4. 81

Q. The resultant capacitance (in $\mu F$) between the points A and B in the figure is

Q.

Seven capacitors each of capacity 2μFare to be so connected to have a total

capacity 10/11 μF. Which will be the necessary figure as shown

1. 

2. 

3. 

4. 

Q. What is the effective capacitance between points $X$ and $Y?$

1. $12\mu F$
2. $18\mu F$
3. $24\mu F$
4. $6\mu F$

Q. The configuration of the metal plate can be shown in figure. The area of each plate is A. The distance between each of the plates is d. Then the capacitance between A and B is

1. $\frac{3}{2}\frac{A{ϵ}_0}{d}$
2. $\frac{A{ϵ}_0}{d}$
3. $\frac{5}{2}\frac{A{ϵ}_0}{d}$
4. None of the above