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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

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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.

MEDIUM

Conventionally which coloured wire is used for earthing?

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
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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MEDIUM
A metallic sphere is placed in a uniform electric field. The line of force follow the path(s) shown in the figure as,

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MEDIUM

Two long concentric hollow metallic cylinders of radii a and b, respectively carry equal and opposite charges -σ and +σ per unit length, as shown. The space between the cylinders is filled with air. The distance measured from the central axis is denoted by r.

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Which of the following statements is NOT CORRECT?

HARD

Write any five application of superconductors.

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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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
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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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
Electric wiring in our homes has three wires: live, neutral and _____.
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
The excess of pressure, due to surface tension, on a spherical liquid drop of radius R is proportional to
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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).
EASY
Assertion: A charged metal plate has the same potential at all points on its surface & different distribution of charge.

Reason: As conductors have uniform distribution of charge, so potential & charge distribution is same at every point.
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A small sphere is charged to a potential of 50 V and a big hollow sphere is charged to potential of 100 V. Charge will flow from the smaller sphere to the bigger one when
EASY
Assertion: In any condition when a conducting sphere is charged then the charge on it must be distributed uniformly over it surface because it is a sphere

Reason: The surface of a conducting body is an equipotential surface.
EASY
Assertion: Across the surface of a charged conductor potential is discontinuous.

Reason: Electrostatic force is a conservative force.