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Question

image at https://media.cheggcdn.com/media/e02/e02d7983-5b2d-49aa-b6ce-064f2407163a/phpiyOHGx.png An insulator in the shape of a spherical shell is shown in cross-section above. The insulator is defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = + 9 mu or micro C (1 mu or micro C = 10-6 C). (You may assume that the charge is distributed uniformly throughout the volume of the insulator). What is Ey, the y-component of the electric field at point P which is located at (x,y) = (0, -5 cm) as shown in the diagram? Ey = N/C would like exact numers

Explanation / Answer

By gauss law flux out of the 5cm radius =

9 *10^-6 * 4/3pi0.05^3 /(4/3pi (0.6^3 -0.04^3)*8.85*10^-12)

= 8.36*10^5

E = 8.36*10^5 /4pi0.05^2 =2.66 *10^7 N/C

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