An air-filled plate capacitor is made form two thin sheets of aluminum foil, eac

Question

An air-filled plate capacitor is made form two thin sheets of aluminum foil, each of which is a square. The sheets are separated by a distance of .50 mm, and the capitance of the capacitor is found to be 8.0 nF.

length should be in meters

(a) What is the length, L, of each side of the squares?

(b) The capacitor is connect to a 9 V battery. How much charge accumulates on each plate?
(c) What is the magnitude of the electric field between the plates when it is charged as in part b? Remember that the electric field can be expressed in units of V/m (The answer should be in V/m)

USEFUL EQUATIONS:

C= Eo(A/d)

Q=CV

Eo= 8.85 * 10-12 C2/N*m2

Explanation / Answer

Part A)

Apply C = eA/d

(8 X 10-9) = (8.85 X 10-12)(L)2/(5 X 10-4)

L = .672 m (67.2 cm)

Part B)

Q = CV

Q = (8 X 10-9)(9) = 7.2 X 10-8 C (That is 72 nC)

Part C)

V = Ed

9 = E(5 X 10-4)

E = 18000 V/m

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