unusmentals of Physics, 10e 1 Unread) PRINTER VERSION BACK 3 Fall 2018 Chapter 2

Question

unusmentals of Physics, 10e 1 Unread) PRINTER VERSION BACK 3 Fall 2018 Chapter 23, Problem 014 Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux o through a Gaussian sphere centered on the particle, as a function of the radius r ofthe sphere. The scale of the vertical axis is set by o,-55x10s N/C. (a) what is the charge of the central partide? what are the net charges of (b) shell A and (c) shell B 23. Problem Er App (a) Number (b) Number (c) Number Units Units Units sults by Study Question Attempts: o of 3 used svt rOR LATER SUBMIT ANSWER

Explanation / Answer

a)
For r<rA
= 1.1*10^5 Nm^2/C

Qencl = *E0
= 1.1*2*10^5*8.85*10^-12
= 1.95*10^-6 C

b)
for rA<r<rB,
= -4.5*10^5
So,
Qencl = (-4.5e5)(8.85*10^-12)
= -3.98*10^-6 C
QA = Qencl - Qparticle
= -3.98*10^-6-1.95*10^-6
= -5.93*10^-6 C

c)
= 6.6*10^5
So,
Qencl = (6.6e5)(8.85*10^-12)
= 5.841*10^-6 C
QB = Qencl - QA
= 5.841*10^-6-(-5.93*10^-6)
= 11.8*10^-6 C

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