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Obtain the expression for the capacitance of a parallel plate capacitor with a dielectric medium between its plates.
A charge of 6 μC is given to a hollow metallic sphere of radius 0.2 m. Find the potential at (i) the surface and (ii) the centre of the sphere.
A charge + Q is placed on a thin conducting spherical shell of radius R. Use Gauss's theorem to derive an expression for the electric field at a point lying (i) inside and (ii) outside the shell.
Show that the electric field for same charge density (σ) is twice in case of a conducting plate or surface than in a nonconducting sheet.
Two point charges of 10 μC and 20 μC are located at points (– 4 cm, 0, 0) and (5 cm, 0, 0) respectively, in a region with electric field E = A/r², where A = 2 × 10⁶ NC⁻¹ m² and r is the position vector of the point under consideration. Calculate the electrostatic potential energy of the system.
Two small conducting balls A and B of radius r₁ and r₂ have charges q₁ and q₂ respectively. They are connected by a wire. Obtain the expression for charges on A and B, in equilibrium.
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