- #1
Tyger
- 398
- 0
Magnetic Monopoly
Suppose you bent a long thin magnet around to make a closed loop. All the magnetic field would be contained in the body of the loop but outside the loop you would have a vector potential circulating around the body of the loop. The vector potential can circulate because the toroidal body of the magnet makes the space doubly connected. Now suppose that you opened the loop to make, not a bar magnet, but a pair of magnetic monopoles. The space would now be simply connected. What would happen to the vector potential in this case? What would the vector potential look like around an isolated monopole?
Suppose you bent a long thin magnet around to make a closed loop. All the magnetic field would be contained in the body of the loop but outside the loop you would have a vector potential circulating around the body of the loop. The vector potential can circulate because the toroidal body of the magnet makes the space doubly connected. Now suppose that you opened the loop to make, not a bar magnet, but a pair of magnetic monopoles. The space would now be simply connected. What would happen to the vector potential in this case? What would the vector potential look like around an isolated monopole?