Flux and nonconducting shells. A charged particle is suspended at the center of
ID: 2162369 • Letter: F
Question
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 23-33a shows a cross section. Figure 23-33b gives the net flux ? through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by ?s = 36.0 ? 105 N?m2/C. (a) What is the charge of the central particle? Give your answers in ?C. What are the net charges of (b) shell A and (c) shell B?
Explanation / Answer
q(enlcosed)/o =
q(enclosed) = *o
a) q(enclosed) = 2*(36/5)*10^5*(8.85*10^-12)
q(center) = 0.000012744 C = 12.744 microC
b) q(enclosed) = -4*(36/5)*10^5*(8.85*10^-12) C
q(center) + q(A) = -25.488 microC
q(A) = 38.232 microC
c) q(enclosed) = 6*(36/5)*10^5*(8.85*10^-12) C
q(center) + q(A) + q(B) = 38.232 microC
q(B) = 63.72 microC