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What is the geometrical shape of equipot...

What is the geometrical shape of equipotential surface due to a single isolated charge ?

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(i) Two isolated metal spheres A and B have radii R and 2R respectively and same charge q. Find which of the two spheres have (a) greater capacitance (b) greater energy density just outside the surface of the spheres. (ii) (a) Show that the equipotential surfaces are closed together in the regions of strong field and far apart in the region of weak field. Draw equipotential surfaces for an electric dipole. (b) Concentric equipotential surfaces due to a charged body placed at the centre are shown. Identify the polarity of the charge and draw the electric field lines due to it.