Question

ULJLIUI-
1) Derive an expression for capacitance of parallel plate capacitor
without medium.​

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′=2ϵoσ

Total electric field between the plates E=2ϵoσ+2ϵoσ

Or E=ϵoσ

Or E=AϵoQ

Potential difference between the plates V=Ed

⟹ V=AϵoQd

Capacitance  C=VQ

Thus we get capacitance of parallel plate capacitor  C=dAϵo