Charge Distribution Between Plates of Parallel Plate Capacitors

Physics

definition

Electric fields for a parallel plate capacitor

For the outer region,

For the inner region i.e. the region between the plates,

where is surface charge density, is area of cross section.

example

Redistribution of charges for capacitors brought to a common potential

The capacity of a condenser A is  and it is charged using a battery of . The battery is disconnected and the condenser A is connected to a condenser B with common potential as . The capacity of B is:
Solution:



So, charge  

When the battery is disconnected, total charge must be constant.
So,

Given common potential
So,              
And,


or,