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A non-uniformly charged sphere has charge density given by ρ=ar2R where a is a constant, r is the distance from the centre and R is the radius of the sphere. Then the total charge inside the sphere is proportional to

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Important Questions on Electrostatics

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There is a uniform electric field of strength 103 V m-1 along the Y-axis. A particle of mass 1 g and charge 10-6 C is projected into the field from the origin along the +ve X -axis with a velocity of 40 m s-1. Then the magnitude of its velocity after 30 seconds will be (neglect gravitation)
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An infinitely long thin straight wire has uniform linear charge density of 13 C m-1. Magnitude of electric intensity at point 12 cm away is ______ -ϵ0=8.8×10-12Fm-1
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Points A and B are separated by 3 cm and a uniform electric field is acting from A to B with E=300 N C-1. A charge of 3 μC is taken from B to A. Force acting on the 3 μC charge is ________
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Two point charges +q2 and -q are placed at a point (a, 0, 0) and at origin respectively. The point along the x-axis where the electric field vanishes is        

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An infinite line charge produces a field of 18×105 N·C-1, at a distance of 4 cm. What is the linear charge density?
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The electric field strength due to a 10μC point charge, at a distance of 50 cm from it, is ________
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The potential at the centre of a hollow, charged metal sphere of radius 5 cm, so that the potential on its surface 10 V, is
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The kinetic energy of an electron which is accelerated through a potential difference of 100 V will be ___ .