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A point charge q is located at the center of a spherical shell of radius a that

ID: 1394905 • Letter: A

Question

A point charge q is located at the center of a spherical shell of radius a that has a charge -q uniformly distributed on its surface.
Find the electric field for the following points: (a) for all points outside the spherical shell:

(Please explain how you got each answer step by step and why the answer is the correct one. Thank you.)

1) E = 0

2) none of these    

3) E = kq/r2

4) E = kq2/r2

5) E = q/4?r2


(b) for a point inside the shell a distance r from the center

1) E = q/4?r2

2) E = kq/r2    

3) E = kq2/r2

4) none of these

5) E = 0

Explanation / Answer

(a) For points outside the sphere

net charge = 0

Electric field outside the sphere = 0 ( since net charge is zero)

b) Inside the sphere , net charge = q

Electric field = k q / r^2

Answer is Option 2) E = kq/r2

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