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1 vote
1 answer
113 views

Proof that $\nabla \times E = 0$ using Stoke's theorem [closed]

One way that Jackson proves that $\nabla \times E = 0$ is the following: $$ F = q E $$ $$ W = - \int_A^B F \cdot dl = - q \int_A^B E \cdot dl = q \int_A^B \nabla \phi \cdot dl = q \int_A^B d \phi = ...
ngc1300's user avatar
  • 284
3 votes
1 answer
110 views

Nabla commutation in electromagnetism

I don't know how to work with the 'reversed' dot product operator, $$v\cdot \nabla$$ I arrived to expressions like this trough doing some calculus, and I don't know how to continue with the calculus ...
Euler's user avatar
  • 529