摘要
本文用拉格朗日函数研究由电阻R,电感L和电容C组成的RLC电路.当该电路在外加给定正弦或余弦形式的电压激励的条件下,求解拉格朗日方程,则可简捷地得出RLC电路中产生谐振的条件和电流变化的规律.
This paper deals with the RLC circuit which consists of a resistor R, an inductor L and a capacitor C through the use of Lagrange Function. When the RLC circuit is given an external voltage in the form of Sine or Cosine, if we want to solve the Langrange Equation, we may easily get the resonant condition and the law of current var iation produced in the RLC circuit.