Question

Two small spheres, each carrying a net positive charge, are separated by 0.400 m. You have been asked to perform measurements that will allow you to determine the charge on each sphere.


 Two small spheres, each carrying a net positive charge, are separated by 0.400 m. You have been asked to perform measurements that will allow you to determine the charge on each sphere. You set up a coordinate system with one sphere (charge 1) at the origin and the other sphere (charge q2) at x = +0.400 m. Available to you are a third sphere with net charge q3 = 3.00x10-6 C and an apparatus that can accurately measure the location of this sphere and the net force on it. First you place the third sphere on the x-axis at x= 0.200 m; you measure the net force on it to be 5.50 N in the x-direction. Then you move the third sphere to x = +0.600 m and measure the net force on it now to be 3.50 N in the +x-direction.


 Part A

 Calculate q1.

 Part B

 Calculate q2.


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Answer #1

......................(I)

.......................(II)

Solving (I) and (II), we get

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Answer #2

When placed at x=0.2m, then the net force is

where

When placed at x=0.6m, then the net force is

Simply solve the 2 equations. Add them first,

and

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