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Maxwell’s Equations in Terms of Potentials

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Presentation on theme: "Maxwell’s Equations in Terms of Potentials"— Presentation transcript:

1 Maxwell’s Equations in Terms of Potentials
Gauss’s law no magnetic monopoles! Faraday’s law Ampere’s law with Maxwell’s correction We can surely write: Satisfy the homogenous Maxwell’s equations

2 At this point, we reduced the system of unknowns from 6 to 4
At this point, we reduced the system of unknowns from 6 to 4. Can we simplify even more? and we require that both sets of potentials yield the same fields… can be absorbed in l This Gauge transformation does not affect physical fields! We can choose l as we wish. The actual gauge depends on the problem at hand.

3 The Coulomb Gauge The Lorentz Gauge
The scalar potential is given by the instantaneous charge density! A wave equation with complicated source term The Lorentz Gauge

4 The Temporal Gauge

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