Question

A Van de Graaf generator can generate large static electric charges. Below is a picture of a Scottish Lad experiencing the effects of a Van de Graaf generator that hes touching with his hand (Photo from SciFun a Scottish science show). Say hes built up 2.5 μc of charge on his head that is a perfect sphere of radius 10 cm. a. What is the magnitude of the electric field near his scalp? b. If he has 5 hairs per square mm of scalp area and we treat his head as a conductor, what is the charge on each hair? N/C

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Answer #1

a)

Electric field due to sphere is given by

E=KQ/r2 =(9*109)(2.5*10-6)/0.12

E=2.25*106 N/C

b)

Surface area

A=4pir2=4pi*0.12=0.125663 m2

Total Number of hairs

N=0.125663*(5*106) =628319

Charge on each hair

q=2.5*10-6/628319 =3.98*10-12 C

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