Consider the Dirac expression For the vector potential of a magnetic monopole and its associated string L.
Question:
Consider the Dirac expression
For the vector potential of a magnetic monopole and its associated string L. Suppose for definiteness that the monopole is located at the origin and the string along the negative z axis.(a) Calculate A explicitly and show that in spherical coordinates it has components
(b) Verify that ? = ? x A is the Coulomb-like field of a point charge, except perhaps at ? = ?.
(c) With the ? determined in part b, evaluate the total magnetic flux passing through the circular loop of radius R sin ? shown in the figure. Consider ? ?/2 separately, but always calculate the upward flux.
(d) From ? ? ? dl around the loop, determine the total magnetic flux through the loop. Compare the result with that found in part ?. Show that they are equal for 0
Transcribed Image Text:
dl x (x - х') A(х) |x — х'Р 4т Л.
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a So Now considering to spherical coordinates Then So finally b So B falls as r2 and radiat...View the full answer
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