Expression for the capacitance of a parallel plate capacitor :
(1) P and Q are two parallel plates of a capacitor separated by a distance of d.
(2) The area of each plate is A. The plate p is charged and Q is earth connected.
(3) The charge on P is + q and surface charge density of charge = σ
∴ q = Aσ
(4) The electric intensity at point x, E = |σ|/ε0
(5) Potential difference between the plates P and Q,
(6) Capacitance of the capacitor
Farads(In air)
Note : Capacity of a capacitor for with dielectric medium is C