10. A solid insulating sphere of radius R has a non-uniform charge density that varies with r according to the expression p = Ar², where A is a constant. a) Show that the magnitude of the electric field outside (i.e. r > R) is AR5 E = 5€,r2 b) Show that the magnitude of the electric field inside (i.e. r < R) is Ar3 E = 5€0

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Chapter1: Units, Trigonometry. And Vectors
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10. A solid insulating sphere of radius R has a non-uniform charge density that varies with r
according to the expression p = Ar², where A is a constant.
a) Show that the magnitude of the electric field outside (i.e. r > R) is
AR5
E =
5€,r2
b) Show that the magnitude of the electric field inside (i.e. r < R) is
Ar3
E =
5€0
Transcribed Image Text:10. A solid insulating sphere of radius R has a non-uniform charge density that varies with r according to the expression p = Ar², where A is a constant. a) Show that the magnitude of the electric field outside (i.e. r > R) is AR5 E = 5€,r2 b) Show that the magnitude of the electric field inside (i.e. r < R) is Ar3 E = 5€0
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