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  4. A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

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Q. A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

MGIMS WardhaMGIMS Wardha 2010

Solution:

Aluminium is a metal, so when we insert an aluminium foil, equal and opposite charges appear on its two surfaces. Since, it is of negligible thickness, it will not affect the capacitance. Alternative From the formula $ C=\frac{{{\varepsilon }_{0}}A}{d-t+\frac{t}{K}} $
Here, $ K=\infty $ and $ t\to 0 $ So, $ C=\frac{{{\varepsilon }_{0}}A}{d+0}=\frac{{{\varepsilon }_{0}}A}{d}={{C}_{0}} $

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