A finite rod of length LLL has total charge qqq, distributed uniformly along its length. The...

A finite rod of length LLL has total charge qqq, distributed uniformly along its length. The rod lies on the x -axis and is centered at the origin. Thus one endpoint is located at (−L/2,0)(−L/2,0), and the other is located at (L/2,0)(L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant kkk in place of the expression 14πϵ014πϵ0.

Part A

What is VAVAV_A, the electric potential at point A (see the figure), located a distance ddd above the midpoint of the rod on the y axis?

Express your answer in terms of LLL, ddd, qqq, and kkk.

Part B

What is VBVBV_B, the electric potential at point BBB, located at distance ddd from one end of the rod (on the x axis)?

(Figure 2)

Give your answer in terms of qqq, LLL,

ddd, and kkk.

Expert Solution

genius_generous answered 2 years ago

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