4. Two isolated 1 m2 conducting plates areseparated by an empty gap of 1 mm to f

ID: 1665204 • Letter: 4

Question

4. Two isolated 1 m2 conducting plates areseparated by an empty gap of 1 mm to form a capacitor.A

charge of +1 C is put on the top plate anda charge of 1 C is put on the bottomplate.

a. What is the electric field in the region just abovethe top plate? (5)

b. What is the electric field between the plates?(5)

c. What is the potential difference between the plates?(5)

d. What is the capacitance of the configuration?(5)

e. What is the energy stored in the capacitor?(5)

f. What is the force between the plates?(5)

g. If a dielectric material with a dielectricconstant = 5 is inserted between theplates, does the

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

a. What is the electric field in the region just above thetop plate? (5)

E = 0

b. What is the electric field between the plates?(5)

E = /0 =Q/(A0) = 1.13*105 V/m

c. What is the potential difference between the plates?(5)

V = Ed = 113 V

d. What is the capacitance of the configuration?(5)

C = Q/V = 8.85*10-9 F

e. What is the energy stored in the capacitor?(5)

U = CV2/2 = 5.65*10-5J

f. What is the force between the plates?(5)

F = QE/2 = 0.0565 N

g. If a dielectric material with a dielectricconstant = 5 is inserted between theplates, does the

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

C' =5C

V' =Q/C' = V/5 = 22.6 V

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