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# a charged spherical shell of total charge q and radius R and two concentric Gaussian spheres, S1 and S2.?

QUESTION1:

How much charge is enclosed by Gaussian sphere S2? (need formula)

qenc =

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applied Gauss' law to sphere S2, for which r ≥ R we would find that

E = kq / r^2

This field is the same as one set up by a particle with charge q at the center of the shell of charge. Thus, the force produced by a shell of charge q on a charged particle placed outside the shell is the same as if all the shell's charge is concentrated as a particle at the shell's center. This proves the first shell theorem.

Next we consider Gaussian sphere S1, for which r < R.

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QUESTION 2: so how much charge is enclosed by S1?

qenc=

### 1 Answer

- NCSLv 75 months agoFavorite Answer
QUESTION1:

How much charge is enclosed by Gaussian sphere S2?

No, you don't need a formula. You're told that the "total charge [is] q", so I'd say

qenc = q

QUESTION 2: so how much charge is enclosed by S1?

Since q is a spherical shell (and not a sphere), it seems to me that qenc = 0 C.

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