电磁感应定律表达式相关数学工具的严密理论

依据严密的数学理论用3种方法从电磁感应定律的通量表达式导出了感生一动生表达式,并阐明了两种表述在t时刻等价的条件是在t,t+dt)时段回路没有断开,给出了通量和环量随时间变化率的数学理论.指出积分和微分的运算顺序是可以交换的.

The compact theory of the mathematical tools about the expression forms of the electromagnetic inductive law

According to compact mathematical theory,we apply three kinds of methods to deduce the motional-induced expression from the flux expression of the electromagnetic inductive law.Thus it is claer that if on interval of t,t+dt) the loop does not break,the two expression forms will be equivalence at the moment of t.The mathematical theory about the rates of flux and circulation versus time is given.It is pointed out that the order of integral operation and differential operation should be exchanged.