A solid sphere of radius R has a charge density given by p(r) = Po r/R. Here r is the distance from the center of the sphere, and po is a constant with units C/m3. (a) What is the physical meaning of po ? [ ] It's the charge density at the center of the sphere, i.e. atr = 0. [ ] It's the charge density on the surface of the sphere, i.e. at r R. [ ] It's the average charge density of the sphere. [ ]The constant po has no physical meaning at all, it's just some constant. (b) Use Gauss's Law to calculate the magnitude of the electric field E(r) at a distance r < R from the center of the sphere. Your answer should only include the variables R, Po, r, and constants such as n and ɛp.

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Chapter6: Gauss's Law
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A solid sphere of radius R has a charge density given by p(r) = Po r/R. Here r is the distance from the center of the sphere,
and po is a constant with units C/m3.
(a) What is the physical meaning of po ?
[ ]It's the charge density at the center of the sphere, i.e. at r = 0.
[ ]It's the charge density on the surface of the sphere, i.e. at r = R.
[ ]It's the average charge density of the sphere.
[ ]The constant po has no physical meaning at all, it's just some constant.
(b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r < R from the center of the sphere.
Your answer should only include the variables R, po, r, and constants such as Tt and ɛ0.
Transcribed Image Text:A solid sphere of radius R has a charge density given by p(r) = Po r/R. Here r is the distance from the center of the sphere, and po is a constant with units C/m3. (a) What is the physical meaning of po ? [ ]It's the charge density at the center of the sphere, i.e. at r = 0. [ ]It's the charge density on the surface of the sphere, i.e. at r = R. [ ]It's the average charge density of the sphere. [ ]The constant po has no physical meaning at all, it's just some constant. (b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r < R from the center of the sphere. Your answer should only include the variables R, po, r, and constants such as Tt and ɛ0.
(b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r R from the center of the sphere.
Your answer should only include the variables R, po,r, and constants such as Tn and ɛn.
Qenc
E dA =
reRdQ= pdV $dQ
0 the
r.
Q = po(um)
ECr)= Por
3 0
EcG)= Yor
Transcribed Image Text:(b) Use Gauss's Law to calculate the magnitude of the electric field E (r) at a distance r R from the center of the sphere. Your answer should only include the variables R, po,r, and constants such as Tn and ɛn. Qenc E dA = reRdQ= pdV $dQ 0 the r. Q = po(um) ECr)= Por 3 0 EcG)= Yor
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[ ] It's the charge density on the surface of the sphere, i.e. at r = R

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