Using Gauss's law, show that the electric field E at a point due to a uniformly charged infinite plane sheet is given by E = (σ/2ε₀)n̂ where symbols have their usual meanings.

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TextGauss's Theorem for Electric FieldCapacitance of a Parallel Plate CapacitorCBSE 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

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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