A point charge q is placed at the centre of a dielectric sphere of radius R and permittiviy e > 0. There are no other free charges anywhere, and outside of the sphere is free space. Assuming the sphere is centred at the origin of a spherical coordinate system, what is the magnitude of the electric flux density everywhere? 4πr2 9 4πeor² 9 4πr² for r < R and 9 (d) 4πer2 (e) none of the above 9 4πeor² for r R and for r > R 9 4πeor² for r > R

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A point charge q is placed at the centre of a dielectric sphere of radius
R and permittiviy e > 0. There are no other free charges anywhere, and outside of
the sphere is free space. Assuming the sphere is centred at the origin of a spherical
coordinate system, what is the magnitude of the electric flux density everywhere?
4πr²
9
4πeor²
9
4πr²
for r < R and
9
(d)
4πer²
(e) none of the above
9
4πeor²
for r R and
for r > R
q
4πeor²
for r > R
Transcribed Image Text:A point charge q is placed at the centre of a dielectric sphere of radius R and permittiviy e > 0. There are no other free charges anywhere, and outside of the sphere is free space. Assuming the sphere is centred at the origin of a spherical coordinate system, what is the magnitude of the electric flux density everywhere? 4πr² 9 4πeor² 9 4πr² for r < R and 9 (d) 4πer² (e) none of the above 9 4πeor² for r R and for r > R q 4πeor² for r > R
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