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Potential due to Point Charge

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Potential Due to a Point Charge

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Important Questions

Derive an expression for the electric potential due to a point charge :

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The electric potential at a point in free space due to a charge coulomb is . The electric field at that point is

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The electric potential at a point is given by . The electric field at that point is

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Three charges are placed at equal distances on a straight line. If the total potential energy of the system of three charges is zero, then the ratio is :

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An electric charge is placed at the origin (0, 0) of X-Y co-ordinate system. Two points A and B are situated at and (2, 0) respectively. The potential difference between the points A and B will be :

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A hollow metal sphere of radius cm is charged such that the potential on its surface becomes V. The potential at the centre of the sphere is?

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Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.

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If joule of work must be done to move electric charge equal to from a place, where potential is volt to another place, where potential is V volt, find the value of V.

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Two points charges  and are separated by a distance of 1 m in air. At what point in between the charges and on the line joining the charges, is the electric potential zero? 

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Draw a plot showing the variation of (i) electric field and (ii) electric potential  with distance due to a point charge .

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