Concept: The curl of the magnetic vector potential is the magnetic field

Prerequisite concepts

Energy and Entropy The derivative can be interpreted physically

While the constituents of a derivative (the $f$ and $x$ in $\frac{df}{dx}$) can have physical interpretations, the derivative itself can have a different physical interpretation. For example, $\frac{dx}{dt}$ is a velocity. FIXME: find a better example

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The curl of the magnetic vector potential is the magnetic field

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Representations used

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$\vec \nabla \times \vec v$

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The curl of the electric field is zero in electrostatics

FIXME: Long description + Does this really need the pre-req of the derivative of a constant is zero. What is the thing that is constant if the curl is zero?

The negative gradient of the electric potential is the electric field The divergence of the electric field is equal to $\rho / \epsilon_0$ The divergence of the magnetic field is zero The curl of the magnetic vector potential is the magnetic field The divergence of the curl is equal to $\mu_0$ times the current (in magneto-statics) Maxwell's Equations