EASY
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An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like

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Important Questions on Electrostatic Potential and Capacitance

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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.

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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).
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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?

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Electric wiring in our homes has three wires: live, neutral and _____.
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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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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
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Conventionally which coloured wire is used for earthing?

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

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
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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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 :
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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

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A point charge Q is placed at a distance 2R from centre of an uncharged metallic sphere of radius R, select the correct alternative

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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.
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In a system used for spraying cars, a car body is positively charged. Neutral conducting droplets of paint are then attracted to the car because the positive car body induces charge on the droplets of paint. Which diagram best shows the charge pattern ?

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A point charge q is brought near to a neutral conducting hollow sphere of radius R . If 'd' is the distance between these two then

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