Electric Field and Energy Storage of 9V Battery Across Parallel Plates

[physicskid8]

A 9v battery is connected across 2 parallel plates separated by 3mm.
a. what is the magnitude of the electric field between them?
b. the plates have an area of .5m^2, how much charge can be stored?
c. how much energy can be stored?

please help me with this question. i am lost and have no idea what formulas to use.

 

[praharmitra]

Have done a chapter on capacitors? These questions use very standard formulae. If not, why don't you try to derive the formulae? Let me give you a headstart on the derivations

Capacitance C of a capacitor is defined as C = Q / V, where Q is the positive charged stored on the plates (not the total charge, just the charge on a single plate. Note that the total charge on a capacitor is always Q + (-Q) = 0) and V is the potential difference b/w the two plates.

Given a plate with area A and charge Q, its surface density of charge is $\sigma$ = Q / A.

For any infinite planar charge sheet with surface density $\sigma$, the electric field perpendicular to the sheet is $\texbf{E} = \frac{\sigma}{2\epsilon_0}$.

Energy stored in a capacitor is $\int_0^V q dv$.

This should get you started.