Magnetic current information

Magnetic current is, nominally, a current composed of moving magnetic monopoles. It has the unit volt. The usual symbol for magnetic current is $k$ , which is analogous to $i$ for electric current. Magnetic currents produce an electric field analogously to the production of a magnetic field by electric currents. Magnetic current density, which has the unit V/m² (volt per square meter), is usually represented by the symbols ${\mathfrak {M}}^{\text{t}}$ and ${\mathfrak {M}}^{\text{i}}$ .^[a] The superscripts indicate total and impressed magnetic current density.^[1] The impressed currents are the energy sources. In many useful cases, a distribution of electric charge can be mathematically replaced by an equivalent distribution of magnetic current. This artifice can be used to simplify some electromagnetic field problems.^[b]^[c] It is possible to use both electric current densities and magnetic current densities in the same analysis.^[4]^: 138

The direction of the electric field produced by magnetic currents is determined by the left-hand rule (opposite direction as determined by the right-hand rule) as evidenced by the negative sign in the equation^[1]

\nabla \times {\mathcal {E}}=-{\mathfrak {M}}^{\text{t}}.

Cite error: There are <ref group=lower-alpha> tags or {{efn}} templates on this page, but the references will not show without a {{reflist|group=lower-alpha}} template or {{notelist}} template (see the help page).

^ ^a ^b Harrington, Roger F. (1961), Time-Harmonic Electromagnetic Fields, McGraw-Hill, pp. 7–8, hdl:2027/mdp.39015002091489, ISBN 0-07-026745-6
^ Balanis, Constantine A. (2012), Advanced Engineering Electromagnetics, John Wiley, pp. 2–3, ISBN 978-0-470-58948-9
^ Jordan, Edward; Balmain, Keith G. (1968), Electromagnetic Waves and Radiating Systems (2nd ed.), Prentice-Hall, p. 466, LCCN 68-16319
^ Balanis, Constantine A. (2005), Antenna Theory (third ed.), John Wiley, ISBN 047166782X

[Harrington-2] Harrington, Roger F. (1961), Time-Harmonic Electromagnetic Fields, McGraw-Hill, pp. 7–8, hdl:2027/mdp.39015002091489, ISBN 0-07-026745-6

[Balanis_EE-3] Balanis, Constantine A. (2012), Advanced Engineering Electromagnetics, John Wiley, pp. 2–3, ISBN 978-0-470-58948-9

[Jordan_Balman-5] Jordan, Edward; Balmain, Keith G. (1968), Electromagnetic Waves and Radiating Systems (2nd ed.), Prentice-Hall, p. 466, LCCN 68-16319

[Balanis_Ant-7] Balanis, Constantine A. (2005), Antenna Theory (third ed.), John Wiley, ISBN 047166782X

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