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- 16. What is wrong with the following "proof" that there are no magnetic fields? By electromagnetic theory, V. B = 0, and B = V x A. (The error is not in these equations.) Using them, we find [[[ V.B dra = 0= ¹= // B. B.ndo X A (V x A) ndo = - [A.dr (by the divergence theorem) = Since f A. dr = 0, A is conservative, or A = V. Then B = VxA=V x V = 0, so B = 0. A dr (by Stokes' theorem).Which of the vector fields above are produced by a charged particle at rest? a) electrical b) magnetic c) gravitational (can be more than one)Question answer Part II #2