A Show Maxwells Equations With Magnetic Charge

(a) Show that Maxwell’s equations with magnetic charge (Eq.7.43) are invariant under the duality transformation where c ≡ 1/ √ε0µ0 and a is an arbitrary rotation angle in “E/B-space.” Charge and current densities transform in the same way as qe and qm. [This means, in particular, that if you know the fields produced by a configuration of electric charge, you can immediately (using a = 90o) write down the fields produced by the corresponding arrangement of magnetic charge.]

(b) Show that the force law (Prob. 7.35) is also invariant under the duality transformation.

(a) Show that Maxwell's equations with magnetic charge

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