3. Two spherical conducting shells have the same center. The larger sphere has a

Question

3. Two spherical conducting shells have the same center. The larger sphere has a radius 4.00 m and a net charge of +30C. The smaller sphere, inside the larger sphere, has a radius of 2.00 m and a net charge of +10C.



a) Using Gauss' Law what is the magnitude of the electric field at a point located 1.00 m from the center of the spheres? (Leave as an equation with the appropriate values inserted)


b) Using Gauss' Law what is the magnitude of the electric field at a point located 3.00 m from the center of the spheres? (Leave as an equation with the appropriate values inserted.)

Explanation / Answer

a) the potential is given by (charge inside)/epsilon so if the sphere is enclosed at1m the charge it envelopes is zero, so the potential is zero, field = potential/area = 0; b) doing same here, potential = 30C/epsilon. So the field is 30C/(epsilon*4*pi*3^2) = 30/(epsilon*pi*36).

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