A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where Bis a constant, and ris the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for Sol. By definition, the volume charge density is expressed infinitesimally as p= where in is the infinitesimal charge and is the infinicesimal volume. 5o. we have %3D so we can write this as dq = B dv But. dv = dr

A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where Bis a constant, and ris the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for Sol. By definition, the volume charge density is expressed infinitesimally as p= where in is the infinitesimal charge and is the infinicesimal volume. 5o. we have %3D so we can write this as dq = B dv But. dv = dr

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Chapter1: Units, Trigonometry. And Vectors

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A non-uniformiy charged insulating sphere has a volume charge density p that is expressed as
p= Br
where Bis a constant, and ris the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for B?
Sol.
By definition, the volume charge density is expressed infinitesimally as
p=
where in
is the infinitesimal charge and
is the infinitesimal volume.
so, we have
p = dal
- B
So we can write this as
dg
= B
dV
But,
dV =
dr
By substitution, we get the following
dq = 4BT
dr
Using Integration operation and evaluating its limits, the equation, leads to
Q =
Rearranging, we get
B =

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