Case study: A solid spherical conductor of radius 10 cm carries a uniform surface charge density of 5 × 10⁻⁸ C m⁻². Using Gauss's law, the total charge on the sphere and the magnitude of the electric field just outside its surface are respectively:

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MCQ (Single)Linear, Surface and Volume Charge DensityGauss's Theorem for Electric Field

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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

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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