HARD
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There is a system of four conducting parallel plates A, B, C and D. Plates A and C are connected to each other with the help of metallic wire and plates B and D are connected to the ground with the help of switches S1 and S2. Distance between consecutive plates is d. initially plate A and B are having a charge of Q0 each and plate D is having charge +2Q0 (See figure). At t=0 switches S1 and S2 are closed simultaneously. Then choose CORRECT option(s).

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Important Questions on Electrostatics

EASY

Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.

Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.

In the light of the above statements, choose the most appropriate answer from the options give below.

HARD
Two uniformly charged spherical conductors A and B of radii 5 mm and 10 mm are separated by a distance of 2 cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere A and B will be
EASY

A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure. Let VA, VB, VC be the potentials at points A, B and C, respectively. Then

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MEDIUM
A positive charge q is placed at the centre of a neutral hollow cylindrical conducting shell with its cross section as shown in the figure below.

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Which one of the following figures correctly indicates the induced charge distribution in the conductor (ignore edge effects).
HARD

Three concentric spherical shells are arranged as shown in the figure. The innermost and outermost spheres are connected to earth. If the middle sphere is given a charge q0. the charges induced in the innermost and outermost spheres respectively are

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EASY
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 :
MEDIUM
Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R respectively, as shown in the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1,  E2 and E3 respectively, then

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EASY

A spherical conductor A is placed concentrically inside a hollow spherical conductor B. The charge +Q is given to A and B is earthed. Then the electric field is not zero

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MEDIUM
The excess of pressure, due to surface tension, on a spherical liquid drop of radius R is proportional to
MEDIUM

Consider an initially neutral hollow conducting spherical shell with inner radius r and outer radius 2r. A point charge +Q is now placed inside the shell at a distance r2 from the center. The shell is then grounded by connecting the outer surface to the earth. P is an external point at a distance 2r from the point charge +Q on the line passing through the center and the point charge +Q as shown in the figure.

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The magnitude of the force on a test charge +q placed at P will be

EASY
Assertion: The whole charge of a conductor cannot be transferred to another isolated conductor.

Reason: The total transfer of charge from one to another is not possible.
EASY
Assertion: For practical purposes, the Earth is used as a reference at zero potential in electrical circuits.
Reason: The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by Q4πε0R.
HARD
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of –3Q, the new potential difference between the same two surfaces is
EASY
Which of the following diagram is correct? 
EASY
Assertion: Electric field inside the metal is zero when it is placed in external electric field.

Reason: In metal, induced electric field is equal and opposite of applied field.
EASY
Three concentric metallic spherical shells of radii R, 2Rand 3R are given charges Q1, Q2 and Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to shells,Q1:Q2:Q3, is
EASY
Assertion: Two spherical cavities are made inside a conductor having charge Q. Two point charges q1 and q2 are kept at the centres of cavity and another charge q is kept outside the conductor. Electric field due to charge on outer surface of conductor is zero at a point inside the conductor.

Reason: In the above assertion electric potential is constant inside the conductor in static condition.
EASY

Assertion: When a charged body is brought near a neutral conducting body, the induced charge that appears on the nearer surface of the conducting body is always equal and opposite to the charge that has been brought near to it.

Reason: Net electric field inside the conductor is zero. 

MEDIUM
A conducting sphere A having a radius a is charged to a potential V1. Now, it is surrounded by another conducting spherical shell of radius b. The potential V2 acquired by the sphere A after it is connected to shell B by a thin conducting wire is
HARD
In the given figure, the charge appearing on the sphere is


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