# Find out the correct expression of the capacitance of a parallel

Find out the correct expression of the capacitance of a parallel plate capacitor where ‘A’ is the area of the plates, ‘d’ is the distance between the plates and ‘ε0’is the permittivity of the medium.

A. $$\frac {A\varepsilon_0}{d}$$

B. $$\frac {Ad}{\varepsilon_0}$$

C. $$\frac {d\varepsilon_0}{A}$$

D. Aε0d

I got this question in semester exam.

My question is based upon Parallel Plate Capacitor in chapter Electrostatic Potential and Capacitance of Physics – Class 12

Right answer is A. $$\frac {A\varepsilon_0}{d}$$

Easy explanation: The capacitance of a parallel plate capacitor is directly proportional to the area of the plates and permittivity of the medium between the plates. It is indirectly proportional to the distance between the plates.

C = $$\frac {Q}{V} = [ \frac {\sigma A}{(\frac {\sigma d}{\varepsilon_0})} ] = \frac {A\varepsilon_0}{d}$$.