Square aluminium plates of side are placed parallel to each other at a separation of…

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Square aluminium plates of side

10\,\text{cm}

are placed parallel to each other at a separation of

2.0\,\text{mm}

in air to form a capacitor. Take

\varepsilon_0 = 8.85 \times 10^{-12}\,\text{C}^2\,\text{N}^{-1}\,\text{m}^{-2}

. (i) Calculate the capacitance of the arrangement in pico-farads. (ii) The plates are slowly pulled apart until the new separation becomes

5.0\,\text{mm}

. Determine the percentage decrease in the capacitance compared with the value obtained in part (i).