Vector Potential: Proving Partial Derivative of A = E

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SUMMARY

The discussion focuses on proving that the partial derivative of the vector potential A with respect to time t is equal to the electric field E, as described in Maxwell's equations. Participants suggest utilizing integral identities from Griffith's Electrodynamics and the divergence theorem to facilitate the proof. The consensus is that the proof should be straightforward, involving derivatives and established mathematical principles.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with vector potential A
  • Knowledge of the divergence theorem
  • Basic calculus, particularly partial derivatives
NEXT STEPS
  • Study the derivation of electric fields from vector potentials in electromagnetism
  • Explore Griffith's Electrodynamics for integral identities
  • Learn about the divergence theorem and its applications in physics
  • Review calculus techniques for taking partial derivatives
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetic theory will benefit from this discussion, particularly those interested in the mathematical foundations of vector potentials and electric fields.

captain
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can anyone show me how to prove that the partial derivaive of vector potential A with respect t is equal to the electric field E?
 
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captain said:
can anyone show me how to prove that the partial derivaive of vector potential A with respect t is equal to the electric field E?

Maxwell's equations... maybe something like the divergence theorem or one of those convenient integral identities in the front of Griffith's Electrodynamics.

Maybe you could describe the problem better. If you've given me all the information, try what I said above... maybe you'll have to take a derivative or something, but it should be fairly straightforward.
 

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