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With regards to the Faraday Maxwell Equation form of Farday's Law.

if

[tex] \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t} [/tex]

Then a curled magnetic field (say for instance a loop of wire with direct current passing through it) would produce a time-varying magnetic field? however as we know it does not..

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# Faraday-Maxwell Equation

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