A nonconducting sphere of radius R has a volume charge density = 0 r/R, where
Question:
A nonconducting sphere of radius R has a volume charge density ρ = ρ0r/R, where ρ0 is a constant.
(a) Show that the total charge is Q = πR3ρ0.
(b) Show that the total charge inside a sphere of radius r < R is q = Qr4/R4.
(c) Use Gauss's law to find the electric field Er everywhere.
(d) Use dV = –Er dr to find the potential V everywhere, assuming that V = 0 at r = ∞. (Remember that V is continuous at r = R.)
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a Q 0 R 3 b c For r R and using Gausss law we have 4 pr 2 E r q ...View the full answer
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Related Book For
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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