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Transcribed Image Text:Positive charge Q is distributed
uniformly along the x axis from
x = -a/2 to x = +a/2. Point P
is on the x axis at x = r where
r > a/2. The diagram shows a
segment of the line of charge at a
distance x from the origin. The
length of this segment is dx and
its charge is dQ.
а
а
2
0 dx
2
(a) Show that the contribution to the electric potential at P due to the element of charge dQ is
1 Q dx
dV
4TE, ar – x
You may add to the diagram above if that is helpful.
(b) Calculate V at P due to the entire line of charge. Appendix B of your text contains useful integrals.
(c) Find an approximate expression for V if r » a and explain why your result seems reasonable.
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