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As a person moves about in a dry environment, electric charge accumulates on his

ID: 1618361 • Letter: A

Question

As a person moves about in a dry environment, electric charge accumulates on his body. Once it is at high voltage, either positive or negative, the body can discharge via sometimes noticeable sparks and shocks. Consider a human body well separated from ground, with the typical capacitance 130 pF. (a) What charge on the body will produce a potential of 14.0 kV? _________ C (b) Sensitive electronic devices can be destroyed by electrostatic discharge from a person. A particular device can be destroyed by a discharge releasing an energy of 250 A mu j. To what voltage on the body does this energy correspond? ________ V

Explanation / Answer

C = 130 pF

(a) V = 14 kV

Q = VC

Q = 14000*130*10^-12

Q = 1.82*10^-6 C= 1.82 uC

(b) U = 250 uJ

U = 0.5CV^2

250*10^-6 = 0.5*130*10^-12*V^2

V = 1961 V = 1.96 kV

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