4) a) What does Helmholtz theorem say? One sentence, plus 3 equations. b) Apply Helmholtz to some generic current density j(7). Then assume that you have the magnetostatic case. Simplify. Then, write the vector potential as a function of B. Use curl B=. c) Prove that div Á(†) = 0 in the “minimal gauge". d) Derive Ã(†) as a function of B(7) in the "minimal gauge" in the magnetostatic case.
4) a) What does Helmholtz theorem say? One sentence, plus 3 equations. b) Apply Helmholtz to some generic current density j(7). Then assume that you have the magnetostatic case. Simplify. Then, write the vector potential as a function of B. Use curl B=. c) Prove that div Á(†) = 0 in the “minimal gauge". d) Derive Ã(†) as a function of B(7) in the "minimal gauge" in the magnetostatic case.
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Transcribed Image Text:4) a) What does Helmholtz theorem say? One sentence, plus 3 equations.
b) Apply Helmholtz to some generic current density 7(7). Then assume that you have the
magnetostatic case. Simplify. Then, write the vector potential as a function of B. Use curl B=..
c) Prove that div Ã(7) = 0 in the "minimal gauge".
d) Derive Á(7) as a function of B (†) in the "minimal gauge" in the magnetostatic case.
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