Problem 29P

Use the duality transformation (Prob. 7.64) to construct the electric and magnetic fields of a magnetic monopole qm in arbitrary motion, and find the “Larmor formula” for the power radiated

Reference prob 7.64

iv class="question">

(a) Show that Maxwell’s equations with magnetic charge (Eq. 7.44) are invariant under the duality transformation

where is an arbitrary rotation angle in “E/B-space.” Charge and current densities transform in the same way as qe and qm.

particular, that if you know the fields produced by a configuration of electric charge, you can immediately (using α = 90˚) write down the fields produced by the corresponding arrangement of magnetic charge.]

(b) Show that the force law (Prob. 7.38)

is also invariant under the duality transformation.

Step 1 of 3</p>

In this problem, we have to show that Maxwell’s equations with magnetic charge are invariant under the duality transformation.

Step 2 of 3</p>