Open Assignment BACK Chapter 23, Problem 049 In the figure a solid sphere of rad

Question

Open Assignment BACK Chapter 23, Problem 049 In the figure a solid sphere of radius a = 2.20 cm is concentric with a spherical conducting shell of inner radius b 2.00a and outer radius c 2.40a. The sphere has a net uniform charge q1 = +2.65 fc; the shell has a net charge q2 =-q1, what is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? (a) Number (b) Number (c) Number (d) Number (e) Number (1) Number (9) Number (h) Number Units Units Units Units Units Units Units Units Question Attempts: 0 of S used SAVE FOR LATER SUBHIT ANSWER

Explanation / Answer

from Gauss law,

E( 4 pi r^2) = QIn / e0

(A) r= 0 , Qin = 0

E = 0

(B) r = a/2 , Qin = q1 (r^3 / a^3)

E ( 4 pi r^2) = q1 (r^3 / a^3) / e0

E = q1 r / (4 pi e0 a^3 )

{q1 = 2.65 x 10^-15 , r = 1.10x 10^-2 m , a = 2.20 x 10^-3 m , e0 = 8.854 x 10^-12 }

E = 0.0246 N/C

(C) for r = a , Qin = q1

E = q1 / (4 pi e0 a^2)

E = 0.0492 N/C

(D) r = 1.50 a

E = q1 / (4 pi e0 (1.50a)^2)

E = 0.0219 N/C

(E) r = 2.30 a

point inside conductor,

e = 0

(F) r = 3.50 C , Qin = q1 + q2 = q1 -q1 = 0

E = 0

(g) inner = - q1 = - 2.65 fC

(h) outer surface = 0

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