A Example of no Magnetic Field in a Time Varying Electric Field
Chen Yusheng · Science Technology and Engineer · 2003
Presumed a point charge q at the O point in the vacuum and q takes place sinusoidal change with time t, q =q_0 sin ωt. The electric field preduced by q like a spread of a ball in the field all over, it forms a area Ω, the electric intensi-ty E of every point in it changes with t. Passing some calculations from wave equation of dynamic scalar quantity function φ,a result of no magnetic field in Ω can get. However, it whould obtain a wrong result of used Maxwell 's 1st equation in the ex-ample. The reason is there are infinite curved surfaces in the L circle in Maxwell's 1st equation's integral equation at thesame time, the integral equation demands the integral figures of D/t are same on the all curved surfaces, but some special cas-es such as this example don' t demand this point. To obtain aH vector used Maxwell's 1st equation's differential equation, it only represents a mathemaics' existence but not a true existence of magnetic intensity H. To sum up ahove, in vacuumif the direction of time varying electric field is well distributed and like a ball there is no magnetic field in it, maxwell's 1st e-quation cannot be used in the erea.