Engineering     Difference Equations     Kirchoffs Law     Sinusoidal Analysis     Communications     Differential Equations     Dynamic Systems     Probability and Stats     Control Systems Simulations      MATLAB      Examples in MATLAB Links to other websites Johns Hopkins   -   Signals & systems example Cal State San Bernardino   -   Probablity and Statistics Engineering>> Sinusoidal Analysis Prev |  Next |  Home  | Contact us  | Objective     SINUSOIDAL STEADY STATE ANALYSIS A linear circuit, such as RLC circuit when excited by a sinusoidal source (voltage or current) produces an output (voltage or current) which is also sinusoidal under steady-state conditions. Steady state is achieved when transients generated by the circuit have died out. Theoretically, the transients last infinite time. However, for many circuits, depending on the ‘time constant’ of the circuit, the transients die out to practically negligible values over a small time interval. Fig. 1. Illustration of a linear circuit If   circuit analysis tells us that under steady state. That is, the output has the same frequency as the input, rad/sec. The amplitude and the phase at the output would in general be different from the input amplitude and the input phase To find Let denote the transfer function of the circuit. This transfer function is in the fourier domain. If you have the transfer function H(s) in the laplace domain, then simply . Then write = || where is the input frequency. Example           Prev |  Next |  Home  | Contact us  | Objective