ABSTRACT

The static field equations are useful for approximating many physical situations in which the fields rapidly settle to a local, macroscopically-static state. Perhaps the most carefully studied area of electromagnetics is that in which the fields are time-invariant. This area, known generally as statics, offers the most direct opportunities for solution of the governing equations, and the clearest physical pictures of the electromagnetic field. The charges would produce an electric field, resulting in a force on the distribution via the Lorentz force law, and hence would begin to move. At nonrelativistic particle speeds, the electric field produces an outward force on the charges that is much greater than the inward force produced by the magnetic field. The boundary conditions found for the dynamic electric field remain valid in the electrostatic case. It is important to note that any separation of the electromagnetic field into independent static electric and magnetic portions is illusory.