In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance C . The switch S 1 is pressed first to fully charge the capacitor C 1 and the released. The switch S 2 is then pressed to charge the capacitor C 2 . After some time, S 2 is released and then is S 3 pressed. After some time,

the charge on the upper plate of C 2 is - CV 0 .

the charge on the upper plate of C 1 is 2CV 0 .

the charge on the upper plate of C 2 is 0.

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What will be the force between the plates when a dielectric slab is inserted between the plates of an isolated capacitor.

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Important Questions on Electrostatics

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

What are the charges stored in the $1 μ F$ and $2 μ F$ capacitors in the circuit below, once the currents become steady?

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HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A capacitor of $2 μF$ is charged as shown in the diagram. When the switch $S$ is turned to position $2$ , the percentage of its stored energy dissipated is

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MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers 1/3 of the area of its plates, as shown in the figure. The total capacitance of the capacitor is C while that of the portion with dielectric in between is $C_{1}$ . When the capacitor is charged, the plate area covered by the dielectric gets charge $Q_{1}$ and the rest of the area gets charge $Q_{2}$ . The electric field in the dielectric is $E_{1}$ and that in the other portion is $E_{2}$ . Choose the correct option/options, ignoring edge effects.

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EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

In the figure is shown a system of four capacitors connected across a $10 V$ battery. The charge that will flow from switch S when it is closed is:
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HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor having plates of area

S

and plate separation

d

, has capacitance

C_{1}

in air. When two dielectrics of different relative permittivities (

ε_{1} = 2

and

ε_{2} = 4

) are introduced between the two plates as shown in the figure, the capacitance becomes

C_{2}

. The ratio

\frac{C_{2}}{C_{1}}

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Capacitor

An electron enters a parallel plate capacitor with horizontal speed $μ$ and is found to deflect by angle $θ$ on leaving the capacitor as shown. It is found that $\tan θ = 0.4$ and gravity is negligible.

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If the initial horizontal speed is doubled, then $\tan θ$ will be:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Capacitor

In the given circuit, the charge on

4 μ F

capacitor will be:
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HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate air capacitor of capacitance

C

is connected to a cell of emf

V

and then disconnected from it. A dielectric slab of dielectric constant

K

, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

Two identical conducting spheres

A

and

B

carry an equal charges. They are separated by a distance much larger than their diameters, and the force between them is

F

. A third identical conducting sphere,

C

, is uncharged. Sphere

C

is first touched to

A

, then to

B

, and then removed. As a result, the force between

A

and

B

would be equal to:

EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure:
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What is the value of current at

t = 4 s ?

EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor with plates of area

1 m^{2}

each, are at a separation of

0.1 m .

If the electric field between the plates is

100 N C^{- 1},

the magnitude of charge on each plate is:

(Take ε_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} m^{- 2})

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor of capacitance

C

has spacing

d

between two plates having area

A .

The region between the plates is filled with

N

dielectric layers, parallel to its plates, each with thickness

δ = \frac{d}{N} .

The dielectric constant of the

m^{t h}

layer is

K_{m} = K (1 + \frac{m}{N}) .

For a very large

N (> 10^{3}),

the capacitance

C

α (\frac{K \in_{0} A}{d l n 2}) .

The value of

α

will be____.

[\in_{0}

is the permittivity of free space]

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is $3 \times 1 0^{4} V/m$ , the charge density of the positive plate will be close to :

EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor has

1 μ F

capacitance. One of its two plates is given

+ 2 μ C

charge and the other plate,

+ 4 μ C

charge. The potential difference developed across the capacitor is:

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A capacitor is made of two square plates each of side

a

making a very small angle

α

between them, as shown in figure. The capacitance will be close to:
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MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Capacitor

In a parallel plate air capacitor the distance between plates is reduced to one fourth and the space between them is filled with a dielectric medium of constant

2

. If the initial capacity of the capacitor is

4 μF .

Then its new capacity is

HARD

Physics>Electricity and Magnetism>Electrostatics>Capacitor

In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance C. The switch S₁ is pressed first to fully charge the capacitor C₁ and the released. The switch S₂ is then pressed to charge the capacitor C₂. After some time, S₂ is released and then is S₃ pressed. After some time,
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MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Capacitor

Two capacitors

C_{1}

and

C_{2}

are charged to

120 V

and

200 V

respectively. It is found that by connecting them together the potential on each one can be made zero. Then:

EASY

Physics>Electricity and Magnetism>Electrostatics>Capacitor

A parallel plate capacitor is of area

6 c m^{2}

and a separation

3 m m .

The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant

K_{1} = 10, K_{2} = 12

and

K_{3} = 14 .

The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

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What will be the force between the plates when a dielectric slab is inserted between the plates of an isolated capacitor.

Important Questions on Electrostatics

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