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.

A uniform electric field, E → = - 400 3 j ^ N C - 1 is applied in a region. A charged particle of mass m carrying positive charge q is projected in this region with an initial speed of 2 10 × 10 6 m s - 1 . This particle is aimed to hit a target T , which is 5 m away from its entry point into the field as shown schematically in the figure. Take q m = 10 10 C kg - 1 . Then

time taken by the particle to hit T could be 5 6 μ s as well as 5 2 μ s

the particle will hit T if projected at an angle 45 ° from the horizontal

time taken by the particle to hit T is 5 3 μ s

Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is α . The spheres are now immersed in a dielectric liquid of density 800 kg m - 3 and dielectric constant 21 . If the angle between the strings remains the same after the immersion, then

mass density of the spheres is 840 kg m - 3

electric force between the spheres reduces

the tension in the strings holding the spheres remains unchanged

An electric dipole with dipole moment p 0 2 i ^ + j ^ is held fixed at the origin O in the presence of an uniform electric field of magnitude E 0 . If the potential is constant on a circle of radius R centered at the origin as shown in figure, then the correct statement(s) is/are: ( ε 0 is permittivity of free space, R ≫ dipole size)

Total electric field at point B is E → B = 0

The magnitude of total electric field on any two points of the circle will be same

Total electric field at point A is E → A = 2 E 0 i ^ + j ^

A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V 0 . A hole with a small area α 4 π R 2 α ≪ 1 is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?

The ratio of the potential at the center of the shell to that of the point at 1 2 R from center towards the hole will be 1 - α 1 - 2 α .

The magnitude of electric field at the center of the shell is reduced by α V 0 2 R .

The potential at the center of the shell is reduced by 2 α V 0 .

The magnitude of electric field at a point, located on a line passing through the hole and shell's center on a distance 2 R from the center of the spherical shell will be reduced by α V 0 2 R .

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JEE Advanced

IMPORTANT

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A charged shell of radius $R$ carries a total charge $Q .$ Given $Φ$ as the flux of electric field through a closed cylindrical surface of height $h,$ radius $r$ and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct? [ $\in_{0}$ is the permittivity of free space]

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Important Questions on Electrostatics

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2019>Q 21

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]

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2018>Q 22

Three identical capacitors

C_{1}, C_{2} a n d C_{3}

have a capacitance of

1.0 μ F

each and they are uncharged initially. They are connected in a circuit as shown in the figure and

C_{1}

is then filled completely with a dielectric material of relative permittivity

ϵ_{r}

. The cell electromotive force (emf)

V_{0} = 8 V

. First the switch

S_{1}

is closed while the switch

S_{2}

is kept open. When the capacitor

C_{3}

is fully charged,

S_{1}

is opened and

S_{2}

is closed simultaneously. When all the capacitors reach equilibrium, the charge on

C_{3}

is found to be

5 μ C

. The value of

ϵ_{r}

=____________.

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2015>Q 24

The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density

λ

are kept parallel to each other. In their resulting electric field, point charges

q

and

- q

are kept in equilibrium between them. The point charges are confined to move in the

x

direction only. If they are given a small displacement about their equilibrium positions, then the correct statements(s) is (are)

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2014>Q 25

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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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2014>Q 26

Let

E_{1} (r), E_{2} (r)

and

E_{3} (r)

be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density

λ

, and an infinite plane with uniform surface charge density

σ

. If

E_{1} (r_{0}) = E_{2} (r_{0}) = E_{3} (r_{0})

at a given distance

r_{0}

, then

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2013>Q 27

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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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2013>Q 28

Two non-conducting solid spheres of radii $R$ and $2 R$ , having uniform volume charge densities $ρ_{1}$ and $ρ_{2}$ , respectively, touch each other. The net electric field at a distance $2 R$ from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio $\frac{ρ_{1}}{ρ_{2}}$ can be

Important Questions on Electrostatics

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