Circuit Theory/Complex Frequency Examples/example15

From Wikibooks, open books for an open world
Jump to: navigation, search
RC parallel, RL series circuit for example 15 circuit theory wikibook .. simple problem with complex frequency
solved with mupad code
put in phasor form with matlab m-file

Find everything give that:

Terminal Relations:

Junction Equation:

Loop Equations:

(trivial loop)

Complex Frequency:

Complex frequency source:

Solving in the complex frequency domain:

Symbol Magnitude Radians Degrees
v1 13.8329 0.0455 2.6061
v2 3.8425 -3.0978 -177.4894
v3 3.8425 -3.0978 -177.4894
v4 0.4611 -1.5270 -87.4894
i1 0.2305 -1.5270 -87.4894
i2 3.8425e-04 -3.0978 -177.4894
i3 0.2305 -1.5253 -87.3939