Question

11. An insulating spherical shell with inner wall radius of 5 cm and an outer wall radius of 12 cm has a charge of -6 C evenly distributed throughout the shell. A) Determine, using Gauss' Law, the electric field's magnitude at a distance of 3 cm from the central axis of the shell (this will be inside the inner wall of the shell), B) the E-field magnitude at a distance of 10 cm from the center, (between the walls of the insulating shell) and C) the E-field magnitude at a distance of 24 cm from the center. D) (6 pts) Draw all of the electric field lines that exist for this arrangement.

Will give an up vote if detailed explanations are given and all parts are answered. Thank you.

Answer 1

- - a= 5x10 am b=12818?m Grarge on shell - 6x6 = -6x10-66 Charge density, 8 - a - 16-03) = +6x 10-63 4*314 ((19810-4)3 - (9810-43] = ~36xjo 12.56 [ 1728 - 195] Xo =-1.79 10 36/m3 a Consider a Guassion surface, ie; a sphere of radires 3cm. Maw by Gauss's Law ! pe.ds - But que o for a ca. "E=0 b) Again consider Gaussian Surface of radius 10cm. of beds que as perds - Ed = Eds caso EXAM - 8x & 145 E = Lir • 3 By Gauss's law - 149x10-3 x fox to 3x 8.85 or 2 tot 2 -0.064X1®NG 02-6.44X10 No

(c) For = 24.com DE ds- gine Ex 4TG2 - 6x06 LX - 6x104 4176 124/10-2) - - 9 x10x6x10- 24 x 24 x 10-4 = - 0, 0.9375 x 10-2 TE = -9.38 x 10 -4 0/0 | 71