Consider a thin, uniformly charged rod of length L with total charge Q and test points A, a distance a from the center of the rod and B a distance b from the rod. Find the potential difference between A and B first by integrating the point source potential to find VA and VB and subtracting, and then by integrating the field. Compare the results in the limit of L>>(a and b). To test the far field limit, compare the appropriate result to the case where L is much less than both a and b. You may need to do this one numerically.
Consider a thin, uniformly charged rod of length L with total charge Q and test points A, a distance a from the center of the rod and B a distance b from the rod. Find the potential difference between A and B first by integrating the point source potential to find VA and VB and subtracting, and then by integrating the field. Compare the results in the limit of L>>(a and b). To test the far field limit, compare the appropriate result to the case where L is much less than both a and b. You may need to do this one numerically.
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Can you also draw the uniform rod as well as answer the question?
Transcribed Image Text:Consider a thin, uniformly charged rod of length L with total charge Q and test points A, a
distance a from the center of the rod and B a distance b from the rod.
Find the potential difference between A and B first by integrating the point source potential to
find VÀ and VB and subtracting, and then by integrating the field. Compare the results in the
limit of L>>(a and b).
To test the far field limit, compare the appropriate result to the case where L is much less than
both a and b. You may need to do this one numerically.
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