Problem 5. Consider a charged sphere with the following charge density r Rma Using Gauß' law,...
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Problem 5. Consider a charged sphere with the following charge density 0 Using Gauß' law, calculate the electric field (a) E1 inside the sphere (i.e. rS Rmaz), (b) E2 outside the sphere (ie r 〉 Rmax), (c) Check that lim E1- lim E2 r→ Rmax Reminder: Due to spherical symmetry SSfv ρ(r')dxdydz-Ke(r)4mrPdr' max
Consider a charged sphere with the following charge density ρ(r)
=(ρ0(1− r Rmax) r ≤ Rmax 0 r > Rmax
Using Gauß’ law, calculate the electric field
(a) ~ E1 inside the sphere (i.e. r ≤ Rmax),
(b) ~ E2 outside the sphere (i.e r ≥ Rmax),
(c) Check that lim r→Rmax ~ E1 = lim r→Rmax ~ E2. Reminder: Due
to spherical symmetryRRRV ρ(r0)dxdydz =Rr 0 ρ(r0)4πr02dr0
Please provide an explanation for the
solution.
Problem 5. Consider a charged...
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