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MIT Physics 8.02 - Electricity & Magnetism

SECTION : Faraday's Law       

two planes
SUBJECT: Monopole Appearing Above A Conducting Plane  

In the top figure, a magnetic monopole suddenly appears above a thin conducting plane. Intially the region below the plane is shielded from the magnetic field, but as time progresses, the field slowly diffuses into the region below the plane. There is a short pause at the beginning of the movie when we hold everything fixed, and then the field begins to difuse into the region z < 0. The images are color coded according to the magnitude of the magnetic field, ranging from very strong (white) to very low (black), with an over all blue hue. You will need a QuickTime movie player to play this mp4 movie.

The bottom figure is similar, except now the magnetic monopole appears in the first quadrant of the four quandrants formed by two perpendicular thin conducting sheet, and its magnetic field subsequently diffuses into the other three quadrants.

If you are interested in the details of how this is calculated, we are following the classic paper of W. M. Saslow, “Maxwell’s Theory of Eddy Currents in Thin Conducting Sheet, and Applications to Electromagnetic Shielding and MAGLEV,” Am. J. Phys. 60 (8), 693-711 (1992).