Parallel plate capacitor's charge

livewire5

In this question the charge is calculated by isolating Q in E=surface charge density/absalon not



My question is, the electric field of an infinite charged plane is E=surface charge density/(2*absalon naught)


because the electric field in center of parallel plate capacitor are parallel we add

surface charge density/(2*absalon naught)+surface charge density/(2*absalon naught)

to give us E between the electrodes to be surface charge density/absalon not


but when that question uses that formula to find the charge, shouldnt the charge found be divided by 2 to get the charge on each electrode since that formula we initially created by adding the E of both electrodes n this question asks to find charge on each electrode...


so what i am really saying is that why isnt the Q in that formula (in that link) charge of both electrodes (their magnitude ofcourse) why is that Q the charge on one electrode?

BruceW

As you said, the electric field due to one plate is surface charge density/(2*absalon naught) So this is equal to Q/(2A*epsilon naught) (where A is area, and Q is charge on one plate). And the total electric field is twice this (since there are two oppositely charged plates), so it is Q/(A*epsilon naught)