Obtain an expression for the electric potential due to a small dipole of dipole moment p, at a point r from its centre, for much larger distances compared to the size of the dipole.

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TextGauss's Theorem for Electric FieldElectric Field Due to Uniformly Charged Infinite Plane Sheet Using Gauss's LawElectric Potential Due to an Electric DipoleElectrical Potential Energy of a System of Two Point ChargesCBSE PYQ

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A cube of side 0·1 m is placed, as shown in the figure, in a region where electric field E = 500 x î exists. Here x is in meters and E in NC⁻¹. Calculate : (a) the flux passing through the cube, and (b) the charge within the cube.

TextElectric Flux and Its DefinitionGauss's Theorem for Electric Field

An electric dipole (dipole moment p = p î), consisting of charges – q and q, separated by distance 2a, is placed along the x-axis, with its centre at the origin. Show that the potential V, due to this dipole, at a point x, (x >> a) is equal to (1/4πε₀) · (p·î)/x².

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