PhysicsLAB AP Free Response Question
2011 B2

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An isolated, solid copper sphere of radius R1 = 0.12 m has a positive charge of 6.4 x 10-9 C.
 
 (a) i. Calculate the electric potential at a point 0.10 m from the center of the sphere.

 (a) ii. Calculate the electric potential at a point 0.24 m from the center of the sphere.

 
(b) On the axes below, sketch a graph of electric potential V versus radius r from the center of the sphere. Label the value at r = 0 on the vertical axis.
 
 

 (c) i. Determine the magnitude of the electric field at a point 0.10 m from the center of the sphere.

 (c) ii. Determine the magnitude of the electric field at a point 0.24 m from the center of the sphere.

(d) A second copper sphere of radius R2 that is uncharged is placed near the first sphere, as represented in the figure below.
 
 
 On the axes above, sketch a graph of electric potential V versus distance along the x-axis shown, where the center of the first sphere is at x = 0.




 
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