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JEE Main 2016 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2016

Within a spherical charge distribution of charge density , N equipotential surfaces of potential , , , , are drawn and have increasing radii , , , , respectively. If the difference in the radii of the surfaces is constant for all values of and then :

Answer: (3)

Solution

Equal potential steps separated by equal radial steps means is constant, so the radial electric field is **constant**, independent of . Applying Gauss's law to a sphere of radius ,

E(4π =

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Question ID VK-115597