Two plates with area A, are held a distance d apart and have a net charge +Qt an

Question

Two plates with area A, are held a distance d apart and have a net charge +Qt and -Qt, respectively. Assume that all the charge is uniformly distributed on the inner surfaces of the plates. Two initially uncharged plates of surface area A, are then attached to the original plates as shown. Find the charge density on the plates. Explain. Find the electric potential difference between the plates. Explain. Show that the capacitance of the enlarged plates in this case is the same as the capacitance you found in problem 1 of this homework.

Explanation / Answer

a) total charge=Q
total area=A1+A2
charge density=Q1/(A1+A2)
and
charge density=-Q1/(A1+A2)
b)capacitance=C=oA/d=o*(A1+A2)/d

Q1=CV

V=Q1/C

c)

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