The second pair of Maxwell equations

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Presentation transcript:

The second pair of Maxwell equations Section 30

Principle of least action For given fields, we varied the particle trajectory between fixed end points to find the equations of motion of a charge. Now, for given motion of charges, we vary the potentials to find the field equations.

Action

On end hyperplanes at t1 & t2, variation of potentials is zero

Second pair of Maxwell’s equations in 4D

Space components Units = Tesla Ampere-Maxwell Equation Charge current Displacement current

Time component