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2 votes
1 answer
76 views

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 $dF=0$ ...
giobrach's user avatar
  • 7,532
1 vote
1 answer
190 views

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}(...
Jannik Pitt's user avatar
  • 2,085
1 vote
0 answers
285 views

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=...
Jackson's user avatar
  • 377