A charge is distributed non-uniformly throughout the volume ofan infinity long s

Question

A charge is distributed non-uniformly throughout the volume ofan infinity long solid cylinder of radius R with volumecharge (r)=0 r/R.Where0=2C/m3. The magnitude of the electric field: a- inside the cylinder at radial distance r=R/2 is: b-and outside the cylinder at radial distance r=2R is: A charge is distributed non-uniformly throughout the volume ofan infinity long solid cylinder of radius R with volumecharge (r)=0 r/R.Where0=2C/m3. The magnitude of the electric field: a- inside the cylinder at radial distance r=R/2 is: b-and outside the cylinder at radial distance r=2R is:

Explanation / Answer

by using the Gaussian surface has radius of r total charges /0=E(r)*2r*L *r/R*2r*L*dr {from r=0 tor=R/2}=E(r)*2r*L*0 =>*(R/2)3/3R=E(r)*R/20 => E(R/2)=0*R/120 (b)out side it likes a infinity wire having linearconcentration of = [ *r/R*2r*L*dr {from r=0to r=R}]/L=2/R*R3/3 =>E(2R)=/(20*2R)=R/(60) =>*(R/2)3/3R=E(r)*R/20 => E(R/2)=0*R/120 (b)out side it likes a infinity wire having linearconcentration of = [ *r/R*2r*L*dr {from r=0to r=R}]/L=2/R*R3/3 =>E(2R)=/(20*2R)=R/(60)

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