15. (a) The charge on the surface of the sphere is the product of the surface charge
density
σ
and the surface area of the sphere (which is
2
4,
r
π
where
r
is the radius). Thus,
()
2
26
2
5
m
4
4
8.1 10 C/m
3.7 10 C.
2
qr
−−
1.2
§·
=π
×
= ×
¨¸
©¹
(b) We choose a Gaussian surface in the form of a sphere, concentric with the conducting
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 Spring '10
 Rebello,NobelS
 Charge, Electrostatics, charge density, Gaussian curvature

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