Two isolated 1 m conducting plates are separated by an empty gap of1 mm to form

Question

Two isolated 1 m conducting plates are separated by an empty gap of1 mm to form a capacitor. A

charge of +1 C is put on the top plate and a charge of 1C is put on the bottom plate.

a. What is the electric field in the region just above thetop plate?

b. What is the electric field between the plates?   

c. What is the potential difference between the plates?   

d. What is the capacitance of the configuration?   

e. What is the energy stored in the capacitor?   

f. What is the force between the plates?    

g. If a dielectric material with a dielectric constant = 5 is inserted between the plates, does the

potential difference across the plates change? If so,what is the new potential difference?

Explanation / Answer

A = 1 m2, d = 1 mm, q = 1 C, surface chargedensity = q/A k = 5, a) E = 0 b) E = /0 = q/(0A) =1.13*105 V/m c) V = Ed = 113 V d) C = q/V = 8.85*10-9 F e) U = q2/(2C) = 5.65*10-5 J f) F = q*E/2 = 0.0575 N g) C' = kC V' = q/C' = V/k = 22.6 V

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