Steady State Solutions to Circuit Problems
In this chapter we cover steady state methods which assume system has been running for a long time and all transient components have died out. The resulting solution is the steady state one. The applied stimulus is of the form e jωt and so will the resulting solution, which will be scaled based on the applied frequency ω. By either taking the real or imaginary part of the solution we can accommodate both sine and cosine inputs. By using superposition and using the Fourier series coefficients we can also accommodate other periodic stimuli such as the periodic pulse and periodic triangle and so forth. The method is applied on a range of circuits culminating in a 9-branch RLC network. We also touch on matrix solution of multi-branch circuits. Finally we compare to SPICE and observe excellent match, so far as the steady state part of the solution.