A pair of identical circular metal plates

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

Problem

A pair of identical circular metal plates, each of diameter

12\,\text{cm}

, forms an air capacitor whose required capacitance is

50\,\text{pF}

. Use

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

. (i) Calculate the maximum plate separation that will give the desired capacitance. (ii) A mica sheet of relative permittivity

5.0

completely fills the space between the plates while the separation found in part (i) is maintained. Determine the new capacitance of the capacitor.