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anonymous
 4 years ago
Electric potential. I have posted the questions as a picture. I hope somebody can help me.
anonymous
 4 years ago
Electric potential. I have posted the questions as a picture. I hope somebody can help me.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Could you write down Gauss' Law?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Electric field for r>a \[E\sim\frac{1}{r^2}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Electric field shall be calculated at all points in the space Calculate charge enclosed by sphere of radius r \[Q=\int\limits_{0}^{r}p(r)4\pi r^2dr\] we find \[Q'=\frac{Q}{a}r\] nor apply guass's law for spherical symmetry \[E=\frac{Qr}{4\pi r^2a \epsilon_0}\] now do this \[V=\int\limits_{r}^{\infty}Edr\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0There are a few changes You must see through the now

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Above relation for E is for 0<r<a for r>a \[E=\frac{Q}{4\pi \epsilon_0r^2}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now potential \[Q=\frac{Q}{4\pi \epsilon_0r}\] for r>a 0<r<a \[V(r)=\frac{Q}{4\pi \epsilon_oa}+\frac{Q}{4\pi a \epsilon_o}\ln(\frac{a}{r})\]
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