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.
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Transcribed Image Text:A)if we define the S transform as follows:
E > M
S :
M → -E
S.
pm )
Pe
(For example
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.

Transcribed Image Text:No magnetic poles have ever been seen in nature, but we can assume
that they exist and generalize Maxwell's equations accordingly.
The generalized Maxwell equations in this case (in Gaussian units)
will be as follows:
V.Ē = 47Pe
V.B = 4TPm
1 0B 4 Jm
V xE =
с де
V ×B =
c ôt
-Je
In the above expressions, pm is the magnetic charge density and jm is
the magnetic current density. For simplicity, we denote the set of
electrical and magnetic quantities by e and M. in other words
M = (B, Jm; Pm, ...) , E = (E, Je, Pe, ...)
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