A nervous physicist worries that the two metal shelves of his wood frame bookcas

Question

A nervous physicist worries that the two metal shelves of his wood frame bookcase might obtain a high voltage if charged by static electricity, perhaps produced by friction. What is the capacitance of the empty shelves if the have area 0.375 m^2 and are 0.195 m apart?
Answer _________ F
What is the voltage between the two shelves if opposite charges of magnitude 3.25 x 10^-9 C are placed on them?
Answer _________ V
Calculate the energy stored by having this charge on the two shelves.
Answer _________ J
Answer all three parts to receive points! A nervous physicist worries that the two metal shelves of his wood frame bookcase might obtain a high voltage if charged by static electricity, perhaps produced by friction. What is the capacitance of the empty shelves if the have area 0.375 m^2 and are 0.195 m apart?
Answer _________ F
What is the voltage between the two shelves if opposite charges of magnitude 3.25 x 10^-9 C are placed on them?
Answer _________ V
Calculate the energy stored by having this charge on the two shelves.
Answer _________ J
Answer all three parts to receive points!
Answer _________ F
What is the voltage between the two shelves if opposite charges of magnitude 3.25 x 10^-9 C are placed on them?
Answer _________ V
Calculate the energy stored by having this charge on the two shelves.
Answer _________ J
Answer all three parts to receive points!

Explanation / Answer

Part A)

C = eA/d

C = (8.85 X 10-12)(.375)/(.195)

C = 1.70 X 10-11 F

Part B)

Q = CV

(3.25 X 10-9) = (1.70 X 10-11)(V)

V = 191 Volts

Part C)

E = Q2/2C

E = (3.25 X 10-9)2/(2)(1.70 X 10-11)

E = 3.10 X 10-7 J

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