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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.
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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