Author Topic: Shell of charge (Read 1614 times) Tweet Share

/0 · « **on:** November 07, 2009, 02:48:17 am »

A spherical shell has inner radius $R_{in}$ and outer radius $R_{out}$ . The shell contains total charge Q, uniformly distributed. The interior of the shell is empty of charge and matter.
(Question 28.53 Knight)
a) Find the electric field outside the shell, $r \geq R_{out}$
b) Find the electric field in the interior of the shell, $r \leq R_{in}$
c) Find the electric field within the shell, $R_{in} \leq r \leq R_{out}$
d) Show that your solutions match at both the inner and outer boundaries.

I got a, b, c but when it asks in d) to show a) and c) match at the outer boundary, if I let $r = R_{out}$ I get an undefined expression? Is that meant to be the case?

Answer to c) is $E = \frac{Q}{4\pi r^2 \epsilon_0}\left(\frac{r^3 - R_{in}^3}{R_{out}^3 - r^3}\right)$

kamil9876 · « **Reply #1 on:** November 07, 2009, 02:33:27 pm »

I think denominator shuld be $R_{out}^3-R_{in}^3$

/0 · « **Reply #2 on:** November 07, 2009, 04:09:56 pm »

oh crap lol

, that's right, thanks kamil!

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Author Topic: Shell of charge (Read 1614 times) Tweet Share

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Shell of charge

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