(25%) Problem 3: A conducting spherical shell of inner radius R1 and outer radiu
ID: 584668 • Letter: #
Question
(25%) Problem 3: A conducting spherical shell of inner radius R1 and outer radius R2 has a point charge +q located at its center. The spherical shell has a net charge of tag Otheexpertta.com 33% Part (a) Enter an expression for the surface charge density on the inner surface of the spherical shell 33% Part (b) Enter an expression for the surface charge density on the outer surface of the spherical shell A 33% Part (c) The electric field at the surface points radially outward and has a magnitude of 9700 N/C. If R1 0.5 m, R2 1.1 m, and a 3, what is q, in coulombs? Grade Summary Deductions 0% Potential 100% Submissions cos() 7 8 9 tan HOME sin Attempts remaining: 2 cotan0 asino ac 4 5 6 4% per attempt detailed view atan() acotan0 sinh0 1 2 3 COS tanho cotanh0 Degrees Radians BACKSPACE DEL CLEAR Hint Feedback give up! Submit Hints Feedback:Explanation / Answer
a) charge on inner surface = -q
surface charge density = - q / 4piR1^2
b) charge in outer surface = aq - (-q) = q(1+a)
surafce charge density = q(1+a) / 4 pi R2^2
c) from Guass law,
E A = Qinside / e0
9700 ( 4 pi 1.1^2 ) = (q(a+1)) / 8.854 x 10^-12
q(3+1) = 3.26 x 10^-7
q = 8.16 x 10^-8 C
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