The Potential of a Charged Line Segment The line segment from P to P' in the diagram below carries a uniform charge per unit length λ. The vector a is coincident with the segment. The vectors c and b point from the observation point r to the beginning and end of a, respectively.

Evaluate the integral for the potential in a coordinate-free manner by parameterizing the line source using a variable s' which is zero at the point on the charged segment that is closest to r. Show thereby that

Transcribed Image Text:

P 0 r a b P'