Prerequisite concepts
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lower anchor PH 422
Concepts taught
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 curl of the electric field is zero in electrostatics
The divergence of the curl is equal to $\mu_0$ times the current (in magneto-statics)
Maxwell's Equations
While the magnitude of the electric field is equal to the gradient of the electric potential, the electric field points in the opposite direction of the gradient of the electric potential, and thus $\vec E = - \vec \nabla V$.
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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?
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