ECT 2440 Study Guide - Final Guide: Rl Circuit, Frequency Domain, Capacitor
Document Summary
Let"s consider the rl circuit shown on figure 1. The circuit is driven by the sinusoidal v t source of the form ( ) s cos( t v o i(t) R v (t) s t cos( ov vl(t) We may use in place of the source function. Therefore we will proceed with the analysis using the complex function, source. ov e contains the term cos( ov v e j t o t cos( Figure 2 shows the same circuit but with the complex source in the place of the source. (note that we have used different variables to indicate the response of the circuit to the complex forcing function. ) I t d dt sv and i(t) into equation (1. 1) we have. The corresponding complex response for the current i(t) is and by substituting the complex form for which upon simplification becomes. Equation (1. 5) contains the information for both the amplitude oi and the phase .
