EASY
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A 100 eV electron is fired directly towards a large metal plate having surface charge density -2×10-6 cm-2. The distance from where the electrons be projected so that it just fails to strike the plate is

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Important Questions on Electrostatics

EASY
An electric field E=25 i^+30 j^ N C-1 exists in a region of space. If the potential at the origin is taken to be zero then the potential at x=2 m, y=2 m is:
MEDIUM
A charge Q is distributed over three concentric spherical shells of radii a, b, c a<b<c such that their surface charge densities are equal to one another.

The total potential at a point at distance r from their common centre, where r<a, would be:
MEDIUM

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is :


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MEDIUM
Two equal charges of magnitude Q each are placed at a distance d apart. Their electrostatic energy is E.A. third charge -Q2 is brought midway between these two charges. The electrostatic energy of the system is now?
HARD
An electric dipole lies in an electric field E=1000i^ N/C in such a position that its dipole moment is (12i^+5j^)×10-29C-m. It is rotated so that the dipole moment becomes (-12i^+5j^)×10-29C-m. The work done by the external agent is
EASY
A metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is
EASY
If potential(in volts) in a region is expressed as Vx,y,z=6xy-y+2yz, the electric field(in N C-1) at point1,1,0 is
HARD
Consider a spherical shell of radius R with a total charge +Q uniformly spread on its surface (center of the shell lies at the origin x=0 ). Two point charge, +q and-q are brought, one after the other, from far away and placed at x=-a2 and x=+a2a<R, respectively. Magnitude of the work done in this process is
EASY
A large metal plate has a surface charge density of 8.85×10-6 C m-2. An electron having initial kinetic energy of 8×10-17 J is moving towards the center of the plate. If the electron stops just before reaching the plate then the initial distance between the electron and the plate is [Take ε0=8.85×10-12 C2 N m-2]
MEDIUM
When an α -particle of mass  m moving with a undefined velocity bombards on a heavy nucleus of charge Ze, its distance of the closest approach from the nucleus depends on m as:
EASY
An electron with an initial speed of 4.0×106 m s-1 is brought to rest by an electric field. The mass and charge of an electron are 9×10-31 kg and 1.6×10-19 C, respectively. Identify the correct statement.
MEDIUM
An electric dipole of dipole moment P is placed parallel to the uniform electric field of intensity E. On rotating it through 180°, the amount of work done is _______.
MEDIUM
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between the limits 589.0 V to  589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60° with the direction of the field?
MEDIUM
Consider a cube of uniform charge density, ρ. The ratio of the electrostatic potential at the center of the cube to that at one of the corners of the cube is, 
HARD

A point particle of mass 0.5 kg is moving along the X -axis under a force described by the potential energy V shown below. It is projected towards the right from the origin with a speed v.

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What is the minimum value of v for which the particle will escape infinitely far away from the origin?

EASY

The diagrams below show regions of equipotential.

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A positive charge is moved from A to B in each diagram.

MEDIUM
A certain p-n junction having a depletion region of width 20 μm, was found to have a breakdown voltage of 100 V. If the width of the depletion region is reduced to 1 μm during its production, then it can be used as a zener diode for voltage regulation of:
HARD
Four equal point charges Q each are placed in the xy plane at 0,2,4,2,4,-2 and 0,-2 . The work required to put a fifth charge Q at the origin of the coordinate system will be:
MEDIUM
An electric dipole of dipole moment p is placed in a uniform electric field of strength E. If θ is the angle between the positive direction of p and E, then potential energy of the dipole is largest when θ is
HARD
A point charge -q is carried from a point A to another point B on the axis of a charged ring of radius r carrying a charge +q . If the point A is at a distance 43r from the centre of the ring and the point B is 34r from the centre but on the opposite side, what is the net work that need to be done for this?