MEDIUM
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The graph of electric field due to a point charge vs the distance from the point charge shows that the electric field becomes equal to at infinite distance.

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Important Questions on Electrostatics

MEDIUM

A point P is 40 m away from 20 μC point charge and 20 m from 4μC  point charge. The electric potential at point P is____V.

(K=9×109Nm2C-2)

EASY

The electric field lines of a positive charge is as shown in figure:

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Give the sign of potential difference Vp-Vq.

MEDIUM

An electric charge Q is uniformly distributed around a semicircle of radius a. Calculate the electric potential at the centre of this semicircle.

EASY
Electric potential at a point P due to a point charge of 5×10-9 C is 50 V. The distance of P from the point charge is:
(Assume, 14πε0=9×109 N m2 C-2)
EASY
Two charges 8 μC each are placed at the comers A and B of an equilateral triangle of side 0.2 m in air. The electric potential at the third comer C is
MEDIUM

The electric potential at the centre of two concentric half rings of radii R1 and R2, having same linear charge density λ is

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EASY
A point charge of 3 μC is placed at the origin of X-Y coordinate system. Find out the potential difference between the points A5a, 0 and B-3a, 4a.
EASY
The electric field in a certain region is acting radially outward and is given by E=Ar. A charge contained in a sphere of radius a centred at the origin of the field will be given by
EASY
What is the electric potential at a distance of 9 cm from 3 nC ?
EASY
Derive an expression for electric potential due to a point charge. How do electric potential vary with distance r for a point charge?
EASY

An electric dipole is placed as shown in the figure.

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The electric potential (in 102 V) at point P due to the dipole is (ε0=permittivity of free space and 14πε0=K)

MEDIUM
An infinite line of charge with uniform line charge density of 1 C m-1 is placed along the y-axis. A charge of 1C is placed on the x-axis at a distance of d=3 m from the origin. At what distance r from the origin on the x-axis, the total electric field is zero.N (Assume 0<r<d)
MEDIUM
Two point charges q110 μC and q2-25 μC are placed on the x -axis at x=1 m and x=4 m respectively. The electric field in V m-1 at a point y=3 m on y-axis is,

Take 14πϵ0=9×109 N m2C-2
EASY
Around a stationary charge of +5 μC, another charge -5 μC is taken once round a circle of radius 4 cm. The amount of work done in joule is
HARD
A particle, of mass 10-3 kg and charge 1.0 C, is initially at rest. At time t=0, the particle comes under the influence of an electric field Et=E0sinωt i^, where E0=1.0 N C-1 and ω=103 rad s-1. Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s-1, attained by the particle at subsequent times is ____________.
MEDIUM
An electric field due to a positively charged long straight wire at a distance r from it is proportional to r-1 in magnitude. Two electrons are orbiting such a long straight wire in circular orbits of radii 1 A and 2 A. The ratio of their respective time periods is
EASY
A charged particle initially at rest at O, when released follows a trajectory as shown. Such a trajectory is possible in the presence of
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EASY
Calculate electric potential at a point 1m distance from a point charge of 10-9 coulomb.
EASY
The maximum potential energy due to electrostatic repulsion between two hydrogen nucleus is nearly (radius of the nucleus =1.1 Fermi) 14πε0=9×109 N m2 C-2
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