The figure below shows a spherical shell with uniform volumecharge density = 1.9

Question

The figure below shows a spherical shell with uniform volumecharge density = 1.97 nC/m3, innerradius a = 10.5 cm, and outer radius b =3.30a. What is the magnitude (in N/C) of the electricfield at radial distances (a)r = 0;(b)r = a/2.00,(c)r = a,(d)r = 1.50a,(e)r = b, and(f)r = 3.00b? I can't get part e or f, please help i've tried the way itsays in the book and by others on cramster.. but i cannot get itcorrect. The figure below shows a spherical shell with uniform volumecharge density = 1.97 nC/m3, innerradius a = 10.5 cm, and outer radius b =3.30a. What is the magnitude (in N/C) of the electricfield at radial distances (a)r = 0;(b)r = a/2.00,(c)r = a,(d)r = 1.50a,(e)r = b, and(f)r = 3.00b? I can't get part e or f, please help i've tried the way itsays in the book and by others on cramster.. but i cannot get itcorrect.

Explanation / Answer

Charge density ( ) = 1.97 nc/m3                                = 1.97*10-9c/m3    Inner radius ( a ) = 10.5 cm =10.5*10-2m    Outer radius ( b ) = 3.30a = 34.65cm =34.65*10-2m     0=8.9*10-12C2/Nm2 consider a gaussian surface of radius a<_ = r <_ b charge enclosed by the gaussian surface is given byq =(4/3r3 - 4/3a3) the electric field enclosed E =q/40r             or E = /30 (r3 -a3/r2)-----------------(1)    e ) r = b,        E =/30 (r3 -a3/r2)           =(1.97*10-9c/m3  ) / 3(8.9*10-12C2/Nm2) [ (34.65*10-2m )3 -(10.5*10-2m)3 / (34.65*10-2m)2 ]           = ----N /C    f ) r = 3 b         b = r / 3            E= /30 (r3 -a3/r2)             = ------------- N/C    Solve it        

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