A charge is distributed inside a sphere of radius R with non-uniform density p(r) = c/r, being c a constant. Determine the expressions of the electrostatic field E(r) and of the potential V(r) for 0 ≤r≤∞o. + + R + + + + + + p(r) +
A charge is distributed inside a sphere of radius R with non-uniform density p(r) = c/r, being c a constant. Determine the expressions of the electrostatic field E(r) and of the potential V(r) for 0 ≤r≤∞o. + + R + + + + + + p(r) +
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can you please explain how the answer was reached in detail i already submitted this question before but the solution was incorrect
Transcribed Image Text:A charge is distributed inside a sphere of radius R with non-uniform
density p(r) = c/r, being c a constant. Determine the expressions of
the electrostatic field E(r) and of the potential V(r) for 0 ≤rs∞o.
+
+
+
R
+
+
+ +
+
+
p(r)
+
5/28
Transcribed Image Text:Note that the divergence in spherical coordinates can be written as:
1 0 Еф
1 a(r² Er) 1 ə(sin E)
r² Ər
r sin
20
V.E
rsin 0 0
that when applied to the previous field expressed in spherical
coordinates (only E, different from zero) with r > R gives:
1 0(² E) c 1 ər²
V.E= ² Ər
20² ər
c 2r
с
250 r²
reo €0
in agreement with Maxwell's equation in differential form.
9/28
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