Question

find the expression for the capacitance of a parallel plate capacitor​

Answer 1

Answer:

Let the two plates are kept parallel to each other separated be a distance d and cross-sectional area of each plate is A.

Electric field by a single thin plate E = σ/2ϵo

Total electric field between the plates

E=σ/2ϵo + σ/2ϵo

so , E= σ/ϵϵ

σ = Q/A

now E= Q/Aϵo

Potential difference between the plates V=Ed

⟹ V= Qd/Aϵo

Capacitance C= V/Q

Thus we get capacitance of parallel plate capacitor C= Aϵo/d