consider two concentric spherical shells, with radius R1=2.0 cm and R2 =4.0 cm,
ID: 1522649 • Letter: C
Question
consider two concentric spherical shells, with radius R1=2.0 cm and R2 =4.0 cm, uniformly charged, respectively, with surface charges Q1=+35.0 e-6 C and Q2= -25.0 e-6 C.
a) determine the electric field E(r) at a point distance r from the center ofthe shells for the cases: 1)r>R2 , 2)R1< r <R2, 3)r<R1 (NOTE you can express your results as a function of r)
b) what is the electric force F acting on a charge q= -2.0 nC located at r = 5.0cm away from the center of the shells? Indicated the direction of the force in a schematic diagram.
PLEASE GIVE ME DETAILED SOLUTIONS AND EXPLANATIONS THANK YOU
Explanation / Answer
a)
r > R2
consider a gaussian sphere of radius r
the charge inside the gaussian sphere = Q1+Q2
from gauss law
integration E*ds = qin/eo
E*4*pi*r^2 = (35-25)*10^-6/(8.84*10^-12)
E = 90019.76/r^2
++++++
b)
R1 < r < R2
consider a gaussian sphere of radius r
the charge inside the gaussian sphere = Q1
from gauss law
integration E*ds = qin/eo
E*4*pi*r^2 = 35*10^-6/(8.84*10^-12)
E = 315069.17/r^2
(c)
r < R1
consider a gaussian sphere of radius r
the charge inside the gaussian sphere = 0
from gauss law
integration E*ds = qin/eo
E*4*pi*r^2 = 0
E = 0
++++++++++++++++++++++
F = E*q = (90019.76/0.05^2)*2*10^-9 = 0.072015808 N
the force towards the center of the sphere
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.