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Electric potential related to electric field question
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[QUOTE="David0709, post: 5777430, member: 624714"] [h2]Homework Statement [/h2] (i) Consider a non-conducting sphere of radius R with non-homogeneous charge density ρ = ρ(r) = r, where r is the radial co-ordinate. [LIST=1] [*](a) Find the electric field inside and outside of the sphere[*](b) Find and plot the electric potential inside and outside of the sphere [/LIST] [h2]Homework Equations[/h2] [/B] E=−∇V E = KQ1Q2/r^2 V = KQ1Q2/R [h2]The Attempt at a Solution[/h2]For part a) Field inside the sphere = r^2 / 4[B][I]ε[/I]0[/B] Outside the sphere R^4 / 4[B][I]ε[/I]0r^2[/B] With regards to part b) I am aware that E=−∇V So applying this formula we have: Outside sphere: R^4 /4[B][I]ε[/I]0 r Inside sphere potential -r^3 /12[B][I]ε[/I]0 However when we let R = r we see these two equations for potential do not agree suggesting something (am not sure what ) is wrong. Any help would be appreciated[/B][/B] [/QUOTE]
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Electric potential related to electric field question
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