Magnetic Monopoles

When you look at the Maxwell Equations, you will find that the equations are not symmetrical. The reason is, that at the present time there is no experimental evidence for the existence of magnetic charge. If right now we assume that there exists magnetic monopoles, how can we revise the Maxwell Equations?

Since we have magnetic monopoles, the divergence of B becomes:

∇ ⋅B = 0 = ⇒ ∇ ⋅B = ρm,

while at the same time, we will have the continuity equation for magnetic charge and magnetic current as

                       (         )∇ ⋅Jm + ∂ρm- = 0 =⇒ ∇ ⋅ Jm + ∂B-  = 0         ∂t                   ∂t.

In this case, Faraday’s Law will become

                ∂B- ∇ × E =  Jm + -∂t.

Back Home