A)if we define the S transform as follows:E > MS :M → -ES.pm )Pe(For exampleorThen prove that Maxwell's general equations are invariant for thisconversion.B) Show that the continuity equation holds for electric charges, andthat magnetic charges also apply to their own continuity equation. No magnetic poles have ever been seen in nature, but we can assumethat they exist and generalize Maxwell's equations accordingly.The generalized Maxwell equations in this case (in Gaussian units)will be as follows:V.Ē = 47PeV.B = 4TPm1 0B 4 JmV xE =с деV ×B =c ôt-JeIn the above expressions, pm is the magnetic charge density and jm isthe magnetic current density. For simplicity, we denote the set ofelectrical and magnetic quantities by e and M. in other wordsM = (B, Jm; Pm, ...) , E = (E, Je, Pe, ...)

The four Maxwell's equation are, ∇·E→=4πρE (1)∇·B→=4πρm…

A)ifwe define the S transform as follows: E → M S: M → -E S. (For example Pe → Pm) or Then prove that Maxwell's general equations are invariant for this conversion. B) Show that the continuity equation holds for electric charges, and that magnetic charges also apply to their own continuity equation.

A)ifwe define the S transform as follows: E → M S: M → -E S. (For example Pe → Pm) or Then prove that Maxwell's general equations are invariant for this conversion. B) Show that the continuity equation holds for electric charges, and that magnetic charges also apply to their own continuity equation.