ECSE 361 Lecture Notes - Lecture 11: Frequency Domain, Kirchhoff'S Circuit Laws, List Of Trigonometric Identities

• School: McGill University
• Department: Electrical & Computer Engr
• Course: ECSE 361
• Professor: Francois Bouffard

Document Summary

A single phase circuit consists of one sinusoidal source driving a given network at a particular frequency. This circuit can be analyzed in the time domain to determine instantaneous currents and voltages or in the frequency domain to obtain phasor currents and voltages (complex numbers will be denoted by bold font). The circuit analysis is typically performed in the frequency domain since the frequency domain analysis is mathematically easier than that in the time domain (algebraic equations as opposed to integro-differential equations). If v(t) = 120p0o v-rms at 60 hz [v(t) = 120%&2 cos(120bt)], r = 100 s, L = 1 mh and c = 10 :f, the current in the single phase circuit is. The instantaneous power for the single-phase circuit is given by. Using the following trigonometric identity for the product of two cosines, the instantaneous power becomes.