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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.
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.
A parallel-plate capacitor is charged by a battery to a charge Q, and the battery is then disconnected. A dielectric slab of dielectric constant K is now fully introduced between the plates. The changes in capacitance C, charge Q and potential difference V are respectively:
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