Ampere's law requires that every magnetic field have an associated cur
rent. The analysis of magnetic fields in this paper begins with that c
urrent in a circular loop and calculates the forces that make the loop
evolve. A circular current generates a dipole field; and a second-ord
er, ordinary differential equation represents the evolving magetic fie
ld. The theory describes cases where the conductor shrinks as the loop
increases in size. The temperature of the conducting ions and electro
ns then decreases. The theory also describes cases where the conductor
grows as the loop grows. Then the conducting particles heat up.Analys
is shows that the magnetic clouds in the solar wind belong to the firs
t type. In the provisional model adopted, the Klein-Burlaga clouds at
one astronomical unit have a toroidal shape, centered on the sun, with
a conductor radius of .125 au, and temperature (same for conducting e
lectrons and protons) of 10(5) K. After 26 days the toroid has a radiu
s of 7.1 au, the conductor radius is .025 au, and the temperature is 2
600 K.