正弦信号激励下RC电路暂态过程的分析及仿真测试

摘要

To systematically study on the transient process of RC first-order circuit under the excitation of the sinusoidal signal, the mathematical expression of the complete response, composed of sinusoidal steady com-ponent superimposing on transient component, is derived from the differential equation of the circuit. The over-voltage phenomenon in transient process occurs due to the existence of transient components and initial phase an-gle conditions of sinusoidal excitation signal for producing maximum overvoltage are analyzed. And then the sim-ulation test is explored with Multisim software.%为了系统地研究正弦信号激励下RC一阶电路的暂态过程，从电路的微分方程出发，推导出电路的完全响应是正弦稳态分量与暂态分量相叠加的数学表达式，暂态分量使电路在暂态过程产生过压现象，分析了产生最大过压时正弦激励信号的初相角条件。并用Multisim软件进行了仿真实验测试。