A pair of identical circular metal plates, each of diameter 12cm, forms an air capacitor whose required capacitance is 50pF. Use ε0=8.85×10−12C2N−1m−2.
a. (i) Calculate the maximum plate separation that will give the desired capacitance.
b. (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.