Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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.Bdr = = 0= = // B. - = B.ndo XA (V x A) ndo = - [A.dr (by the divergence theorem) A dr (by Stokes' theorem). Since A. dr = 0, A is conservative, or A = V. Then B = VxA=V x V = 0. so B = 0.

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.Bdr = = 0= = // B. - = B.ndo XA (V x A) ndo = - [A.dr (by the divergence theorem) A dr (by Stokes' theorem). Since A. dr = 0, A is conservative, or A = V. Then B = VxA=V x V = 0. so B = 0.

icon
Related questions
Question
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).
Transcribed Image Text: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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer