A non-uniformly charged insulating sphere has a volume charge density p that is expressed asp= Brwhere 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 aswhere inis the infinitesimal charge andis the infinitesimal volume.so, we havep = dq/- BASo we can write this asdq =dvBut.dV =drBy substitution, we get the followingdq = 4BTdrUsing Integration operation and evaluating its limits, the equation, leads toQ =Rearranging, we getB =

There are three charge densities in general. The charge densities can be uniform or non-uniform. The…

A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p=Br where Bis a constant, and r is 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?

A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p=Br where Bis a constant, and r is 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?

University Physics Volume 2

18th Edition

ISBN:9781938168161

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Chapter6: Gauss's Law

Section: Chapter Questions

Problem 58P: Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed...

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A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where B is a constant, and r is 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 = dq/ = B so we can write this as dq = B dV But, dV = dr By substitution, we get the following dq = 4B dr Using Integration operation and evaluating its limits, the equation, leads to Q = Rearranging, we get B = 4)
A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where B is a constant, and r is 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 haye p = dq/ So we can write this as dq = 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 = BT Rearranging, we get B = /( T
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 =
The first part is the question, however I'm asking for help on subpart D & E.
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