4. The expression of the charge distribution in spherical coordinates is a sphere with radius b given as po = ko/r²[C/m³] ] (Volumetric charge density= p, = ko/r² [C/m³]) (a) Find the total charge inside the sphere. (b) Find the electric field inside and outside the sphere using the Gauss formula (c) Find the potential function inside and outside the sphere. (d) Show that the equation div D = P, is satisfied by computing div D inside and outside the sphere.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.65CP: A spherically symmetric charge distribution has a charge density given by p = a/r; where a is...
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please solve only a and b

4. The expression of the charge distribution in spherical
coordinates is a sphere with radius b given as po
ko/r² [C/m³]
(Volumetric charge density= P, = ko/r2 [C/m³] )
(a) Find the total charge inside the sphere.
(b) Find the electric field inside and outside the sphere using the Gauss formula
(c) Find the potential function inside and outside the sphere.
(d) Show that the equation div D = p, is satisfied by computing div D inside and
outside the sphere.
Transcribed Image Text:4. The expression of the charge distribution in spherical coordinates is a sphere with radius b given as po ko/r² [C/m³] (Volumetric charge density= P, = ko/r2 [C/m³] ) (a) Find the total charge inside the sphere. (b) Find the electric field inside and outside the sphere using the Gauss formula (c) Find the potential function inside and outside the sphere. (d) Show that the equation div D = p, is satisfied by computing div D inside and outside the sphere.
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