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3
questions
2
votes
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answer
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Variational derivation of *all* covariant Maxwell's equations?
If I suppose there exists a 4-"vector potential" $A\in\Omega^1(U)$ such that the Faraday 2-form satisfies $F = dA$ (which is equivalent to assuming the homogeneous Maxwell's equations $dF=0$ ...
1
vote
1
answer
190
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Electric field of a charge uniformly distributed on a plane
I am supposed to calculate the electric field $E$ created by a electrical charge $Q>0$ distributed on the surface of a plane. For this I should use
(i) Gauss' theorem $$\int_M \operatorname{div}(...
1
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0
answers
285
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area of arbitrary surface element
I am a physics student with a minimal background in differential geometry and I am trying to determine an area element on an arbitrary surface. Suppose we have a surface parameterized by a function $z=...