A hollow spherical shell carries a volume charge density in the region a b (b) For the case where b = 2a, plot the electric field magnitude as a function of r over the range from r = 0 to r = 4a, using appropriately scaled axes. (c) Find the potential at the center of the hollow sphere by one of these methods: dq V(r) = 4tE, F-r or

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Chapter1: Units, Trigonometry. And Vectors
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Please answer (a), (b), and (c), showing all work.

A hollow spherical shell carries a volume charge density in the region a<rsb.
A
P(r)
(a) Use Gauss's Law to find the electric field in the three regions
(i)
(ii)
(iii)
in the hollow center, r<a
inside the charged shell, a <r<b
outside the shell r > b
(b) For the case where b = 2a, plot the electric field magnitude as a function of r over the
range from r = 0 to r = 4a, using appropriately scaled axes.
(c) Find the potential at the center of the hollow sphere by one of these methods:
v(r) = ae, F-|
dą
V(r) =- J Ē di
or
7-r'
Transcribed Image Text:A hollow spherical shell carries a volume charge density in the region a<rsb. A P(r) (a) Use Gauss's Law to find the electric field in the three regions (i) (ii) (iii) in the hollow center, r<a inside the charged shell, a <r<b outside the shell r > b (b) For the case where b = 2a, plot the electric field magnitude as a function of r over the range from r = 0 to r = 4a, using appropriately scaled axes. (c) Find the potential at the center of the hollow sphere by one of these methods: v(r) = ae, F-| dą V(r) =- J Ē di or 7-r'
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