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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.
Two isolated metallic spheres S₁ and S₂ of radii 1 cm and 3 cm respectively are charged such that both have the same charge density (2/π) × 10⁻⁹ C/m². They are placed far away from each other and connected by a thin wire. Calculate the new charge on sphere S₁.
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