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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.
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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