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The arc AB with the centre C and the infinitely long wire having linear charge density λ are lying in the same plane. Find the minimum amount of work done in moving a point charge q0 from point A to B through a circular path AB of radius a is equal to:

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Important Questions on Electrostatics

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Two identical thin rings, each of radius R metres, are coaxially placed at a distance R metre apart. If Q1 coulomb and Q2 coulomb are respectively the charges uniformly
spread on the two rings, the work done in moving a charge q coulomb from the centre of one ring to that of the other is
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Two identical particles of mass m carry a charge Q each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed v. The closest distance of approach be:
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A charge 3 C  experiences a force of  300 N when placed in a uniform electric field. The potential difference between two points separated by a distance of 10 cm along the field line is :
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Uniform electric field of magnitude 100 V m-1 in space is directed along the line y=3+x. Find the potential difference between point A3,1 and B1,3.
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The equation of an equipotential line in an electric field is y=2x, then the electric field strength vector at 1,2 may be :
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In a certain region of space, the potential is given by V=k2x2-y2+z2. The electric field at the point 1,1,1 has magnitude :
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Three equal charges are placed at the corners of an equilateral triangle. Which of the graphs below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graphs have the same scale.)

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A non-conducting ring of radius 0.5 m carries total charge of 1.11×10-10 C distributed non-uniformly on its circumference producing an electric field everywhere in space.
The value of the line integral l=l=0-E·dl 

l=0 being centre of the ring) in volt is