In circuit analysis,charge conservation and flux conservation road are often used for instantaneous capacitor voltage and inductor current mutation,which are called the state analysis because it only has the moment of 0-and 0+.

A tiny damage of charge conservation was received in this paper from the measure experiment of electron decay and the elastic scattering of 500Mev neutron and proton, also the damage and new knowledge of the charge conservation were briefly reviewed.

The quantal conserved charges for conformal symmetry are derived which is coincided with the classical Noether ones.

The decomposability of a capacitor and combination of some capacitors are analysed,the knottiness of a capacitor filled with four different dielectrics is solved,accoding to the conservation of charge,Maxwell s equations,uniqueness theorem of electrostatics,and minimum principle for the energy.

This paper introduces the concept of extended total space,and then we extend conservation of charge and conservation of current to general case.

There exists a conformal invariant conseruation current to in this theory, whose physical significance lies in the conservation of mass charge in the case of Weyl gravitation with center symmetry.