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Electric potential at a certain point due to a point charge and a dipole are respectively proportional to

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Important Questions on Electrostatics

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JEE Main
IMPORTANT
The potential of the electric field produced by point charge at any point x, y, z is given by V=3x2+5, where x, y are in metre and V is in volt. The intensity of the electric field at, x=-2
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Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

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Two point charges 100 μC and 5 μC are placed at points A and B respectively with AB=40 cm. Find the work done by external force in displacing the charge 5 μC from B to C where BC=30 cm, angle ABC=π2 and, 14πε0=9×109 Nm2 C-2.
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An electric field is given by Ex=-2x3i^ N C-1. What is the potential at the point (1, -2) if the potential at a point (2, 4) is taken to be zero?

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Two equal positive charges are kept at points A and B. The electric potential, while moving from A to B along straight line:
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IMPORTANT

Three identical small dipoles are arranged as shown in the figure. What will be the net electric field at P? (k=14πε0)

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An electric dipole is kept in non-uniform electric field. It generally experiences
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IMPORTANT
An electric dipole is made up of two equal and opposite charges of 2×10-6 C at a distance of 3 cm. If this is kept in an electric field of 2×105 N C-1, then the maximum torque acting on the dipole is