5. A ball of radius 1 meter centered at the origin has uniformly distributed ove

Question

5. A ball of radius 1 meter centered at the origin has uniformly distributed over its volume a positive charge Q. a. In moving a positive test charge from the point (x, y, z)= (2, 2, 2) to the point (4, 4, 4), do you have to do work on the test charge, or does the test charge do work on you? b. Verify your answer to (a) by writing the line integral and drawing the fields and forces involved, making it clear how the sign works out. c. At which of the two points in (a) is the electrostatic potential larger?

Explanation / Answer

a) at 2,2,2 potential is higher that that at 4,4,4. So test charge does work on us.

b) (int_{2}^{4}int_{2}^{4}int_{2}^{4} kqQ/(x^2+y^2+z^2)dxdydz)

c) pot. energy is large at 2,2,2

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