PracticeTest1bsolutions - E inside the conducting shell is...

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8. A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2 . From this information, use Gauss's law to find the following. (a) the charge per unit length on the inner surface of the cylinder (2 points) (b) the charge per unit length on the outer surface of the cylinder (2 points) (c) the electric field outside the cylinder, a distance r from the axis (2 points) (a) Inside surface: consider a cylindrical surface within the metal. Since
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Unformatted text preview: E inside the conducting shell is zero, the total charge inside the gaussian surface must be zero, so the inside charge/length = - . in q = + l so in q = -l b) b) Outside surface: The total charge on the metal cylinder is in out 2 q q = + l out 2 q = + l l so the outside charge/length is 3 . (c) ( ) 2 3 6 3 radially outward 2 e e k k E r r r = = = "When you sit with a nice girl for two hours, it seems like two minutes. When you sit on a hot stove for two minutes, it seems like two hours that's relativity." -- Albert Einstein...
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PracticeTest1bsolutions - E inside the conducting shell is...

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