Physics Electrostatic potential and capacitance Assignment | Assignments Physics

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FUTURE BHUBANESWAR SCHOOL

Electric Potential and Capacitance

Assignment Class-XII

1. The potential to which a conductor is raised, depends on

a. the amount of charge

b. geometry and size of the conductor

c. both (a) and (b)

d. only on (a)

2. The earth has volume V and surface area A, then capacitance would be

a. 4𝜋𝜀0𝐴

𝑉 b. 4𝜋𝜀0𝑉

𝐴 c. 12𝜋𝜀0𝑉

𝐴 d. 12𝜋𝜀0𝐴

𝑉

3. 8 drops of Hg are combined to form a bigger single drop. The capacitance of a single small drop and

that of the single big drop will be in the ratio of

a. 1:2 b. 8:1 c. 1:8 d. none of these

4. Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of

surface charge densities of the spheres (𝜎1/𝜎2) is

a. 𝑅1

𝑅2 b. 𝑅2

𝑅1 c. √𝑅1

𝑅2 d. 𝑅1

𝑅2

5. The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate

is halved. If C is its initial capacitance, its final capacitance is equal to

a. 2C b. 4C c. 4C d. C/4

6. Capacitors are used in electrical circuits where appliances need more

a. Current b. Watt c. Voltage d. Resistance

7. Across each of two capacitors of capacitance 1 µF and 4 µF, a potential difference of 10 V is applied.

Then positive plate of one is connected to the negative plate of the other, and negative plate of one is

connected to the positive plate of the other. After contact,

a. Charge on each is zero b. Charge on each is same but non-zero

c. Charge on each is different but non-zero d. None of these

8. Three capacitors 2 µF, 3 µF and 6 µF are joined in series with each other. The equivalent capacitance

a. 1/2 µF b. 1 µF c. 2 µF d. 11 µF

9. The effective capacitances of two capacitors are 3 µF and 16 µF, when they are connected in series

and parallel respectively. The capacitances of two capacitors are

a. 10 µF, 6 µF b. 8 µF, 8 µF c. 12 µF, 4 µF d. 1.2 µF, 1.8 µF

10. How many 1 µF capacitors must be connected in parallel to store a charge of 1 C with a potential of

110 V across the capacitors?

a. 990 b. 900 c. 9090 d. 909

11. Three capacitors of capacitances 1 µF, 2 µF and 3 µF are connected in series and a p.d. of 11 V is

applied across the combination. Then, the p.d. across the plates of 1 µF capacitor is

a. 2 V b. 4 V c. 1 V d. 6 V

12. The equivalent capacitance of the combination shown in the figure is

a. 3C b. 2C c. C/2 d. 3C/2

13. Equivalent capacitance between A and B is

a. 8 µF b. 6 µF c. 268 µF d. 10/38 µF

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FUTURE BHUBANESWAR SCHOOL

Electric Potential and Capacitance

Assignment Class-XII

The potential to which a conductor is raised, depends on a. the amount of charge b. geometry and size of the conductor c. both (a) and (b) d. only on (a)
The earth has volume V and surface area A, then capacitance would be a. 4 𝜋𝜀 0 𝐴 𝑉 b. 4 𝜋𝜀 0 𝑉 𝐴 c. 12 𝜋𝜀 0 𝑉 𝐴 d. 12 𝜋𝜀 0 𝐴 𝑉
8 drops of Hg are combined to form a bigger single drop. The capacitance of a single small drop and that of the single big drop will be in the ratio of a. 1:2 b. 8:1 c. 1:8 d. none of these
Two charged spherical conductors of radius R 1 and R 2 are connected by a wire. Then the ratio of surface charge densities of the spheres (𝜎 1 /𝜎 2 ) is a. 𝑅 1 𝑅 2 b. 𝑅 2 𝑅 1 c. √ 𝑅 1 𝑅 2 d. 𝑅 12 𝑅 22
The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal to a. 2C b. 4C c. 4C d. C/
Capacitors are used in electrical circuits where appliances need more a. Current b. Watt c. Voltage d. Resistance
Across each of two capacitors of capacitance 1 μF and 4 μF, a potential difference of 10 V is applied. Then positive plate of one is connected to the negative plate of the other, and negative plate of one is connected to the positive plate of the other. After contact, a. Charge on each is zero b. Charge on each is same but non-zero c. Charge on each is different but non-zero d. None of these
Three capacitors 2 μF, 3 μF and 6 μF are joined in series with each other. The equivalent capacitance is a. 1/2 μF b. 1 μF c. 2 μF d. 11 μF
The effective capacitances of two capacitors are 3 μF and 16 μF, when they are connected in series and parallel respectively. The capacitances of two capacitors are a. 10 μF, 6 μF b. 8 μF, 8 μF c. 12 μF, 4 μF d. 1.2 μF, 1.8 μF
How many 1 μF capacitors must be connected in parallel to store a charge of 1 C with a potential of 110 V across the capacitors? a. 990 b. 900 c. 9090 d. 909
Three capacitors of capacitances 1 μF, 2 μF and 3 μF are connected in series and a p.d. of 11 V is applied across the combination. Then, the p.d. across the plates of 1 μF capacitor is a. 2 V b. 4 V c. 1 V d. 6 V
The equivalent capacitance of the combination shown in the figure is a. 3C b. 2C c. C/2 d. 3C/
Equivalent capacitance between A and B is a. 8 μF b. 6 μF c. 268 μF d. 10/38 μF

Four capacitors are connected in a circuit as shown in figure. The effective capacitance in between P and Q will be a. 10 μF b. 2 μF c. 5 μF d. 7.5 μF
Equivalent capacitance of the given combi- nation of five capacitors is a. 4 μF b. 8 μF c. 10 μF d. 120 μF
For the given circuit the equivalent capacitance between P and Q is a. 6C b. 4C c. 3C/4 d. 6C/
In the circuit shown in the figure, the potential difference across the 4.5 μF capacitor is a. 8/3 volt b. 4 volt c. 6 volt d. 8 volt
A capacitor of capacitance C has charge Q and stored energy is W. If the charge is increased to 2Q, the stored energy will be c. W/4 b. W/2 c. 2W d. 4W
A 4 μF capacitor is charged to 400 V. If its plates are joined through a resistanc of 2 kΩ , then heat produced in the resistance is a. 0.16 J b. 0.64 J c. 0.32 J d. 1.28 J
A capacitor is charged by connecting a battery across its plates. It stores energy U. Now the battery is disconnected and another identical capacitor is connected across it, then the energy stored by both capacitors of the system will be [CBSE PMT 2000] a. U b. U/2 c. 2U d. 3/2 U
Two parallel plate capacitors X and Y, have the same area of plates and same separation between plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is a. 4:1 b. 2:1 c. 1:4 d. 1:
A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change? a. Electric field between the plates b. Potential difference across the plates c. Charge on the plates d. Energy stored in the capacitor
When a dielectric material is introduced between the plates of a charged condenser, then electric field between the plates a. Decreases b. Increases c. Remains constant d. First (c) and then (a)
If the distance between the plates of parallel plate capacitor is halved and the dielectric constant is doubled, then its capacity will a. Increase by 16 times b. Increase by 4 times b. Increase by 2 times d. Remain the same
A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes a. (^) √ 2 𝐶 b. 𝐶 √^2 c. 2C d. 𝐶 2
A parallel plate capacitor is charged by a battery to a potential difference of 'V' volts. After the charging battery is disconnected, a dielectric slab with dielectric constant 'K' is inserted between its plates. The potential difference across the plates of the capacitor will become

a. 𝜀 0 𝐴(𝜅 1 +𝜅 2 ) 2 𝑑 b. 𝜀 0 𝐴 2 𝑑

𝜅 1 +𝜅 2 𝜅 1 𝜅 2

c. 𝜀 0 𝐴 𝑑

𝜅 1 𝜅 2 𝜅 1 +𝜅 2 ) d. 2 𝜀 0 𝐴 𝑑

𝜅 1 𝜅 2 𝜅 1 +𝜅 2

A capacitor of capacitance 1 μF is filled with two dielectrics of dielectric constants 4 and 6. What is the new capacitance? a. 10 μF b. 4 μF c. 5 μF d. 7 μF
Eight identical spherical drops, each carrying a charge 1 nC are at a potential of 900 V each. All these drops combine together to form a single large drop. Calculate the potential of this large drop. (Assume no wastage of any kind and take the capacitance of a sphere of radius r as proportional to r).
A capacitor of unknown capacitance is connected across a battery of V volt. A charge of 120 μC is stored in it. When the potential across the capacitor is reduced by 40 V, the charge stored in the capacitor becomes 40 μC. Calculate V and the unknown capacitance. What would have been charge in the capacitor if the voltage is increased by 40 V?
Calculate the charge supplied by the battery in the arrangement shown in Fig.
Given C 1 =20 μF, C 2 =30 μF and C 3 =15 μF and the insulated plate of C 1 be at a potential of 90 V, one plate of C, being earthed. What is the potential difference between the plates of C 2 , three capacitors being connected in series?
Determine the potential difference VA - VB between points A and B of the circuit shown in Fig. Under what condition is it equal to zero?
A network of six identical capacitors, each of value C is made, as shown in Fig. Find the equivalent capacitance between the points A and B.

Find the total charge stored in the network of capacitors connected between A and B as shown in Fig.
Determine the potential difference across the plates of each capacitor of the network shown in Fig. Take E 2 > E 1.
In Fig., find the (a) Equivalent capacitance of the network between points A and B, Given C₁ = C 5 = 4μF, C₂ = C 3 =C₁ =2μF (b) Maximum charge supplied by the battery, and (c) Total energy stored in the network.
Find the total energy stored in the capacitors in the network shown below.
Figure shows a network of five capacitors connected to a 100 V supply. Calculate the total charge and energy stored in the network.
A capacitor of capacitance C 1 is charged to a potential V, while another capacitor of capacitance C 2 is charged to a potential difference V 2. The capacitors are now disconnected from their respective charging batteries and connected in parallel to each other. (i) Find the total energy stored in the two capacitors before they are connected. (ii) Find the total energy stored in the parallel combination of two capacitors. (iii) Explain the reason for the difference of energy in parallel combination in comparison to the total energy before they are connected.
A slab of material of dielectric constant κ has the same area as the plates of a parallel plate capacitor but has a thickness 3d / 4, where d is the separation of the plates. How is the capacitance changed when the slab is inserted between the plates?

The insulated plates of a parallel plate capacitor have a charge density σ. Show that the work done in changing the distance from d 1 to d 2 is 𝑈 = 𝜎^2 𝐴 2 𝜖 0 𝜅

Between the plates of a parallel-plate capacitor of area A, a copper plate sits on a dielectric slab of 𝜅 = 2 , as shown in Fig. Find the equivalent capacitance of this arrangement.
What is the capacitance of arrangement of 4 plates of area A at distance d in air in Fig?
A capacitor is made of a flat plate of area A and a second plate having a stair-like structure, as shown in Fig. The width of each stair is a and the height is b. Find the capacitance of the assembly.

Physics Electrostatic potential and capacitance Assignment, Assignments of Physics

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FUTURE BHUBANESWAR SCHOOL

Electric Potential and Capacitance