lecture23a - 1 Why sinusoids? The method of calculation is...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Why sinusoids? The method of calculation is considerably simplified. Whereas before we had to deal with periodic functions of an independent variable time, now we obtain a solution through the simple addition, subtraction, etc. of constant numbers Neither are we restricted to sine waves, since we can construct a general periodic function out of its sine wave components With the aid of Ohms Law in its complex form any circuit or network of circuits can be analysed in the same way, and just as easily, as for direct current, provided only that all the variables are allowed to take on complex values. - C.P. Steinmetz Some Fourier series-square wave ) ( t x t A + A 2 / T 2 / T [ ] L + + + = ) / 10 sin( ) / 6 sin( ) / 2 sin( 4 ) ( 5 1 3 1 T nt T t T t t x m A f T 2 T 4 T 6 m f T 2 T 4 T 6 2 / 2 / 1, 3, 5, 50 terms 2 Some Fourier series- triangle wave ) ( t x t A 2 / T 2 / T + + + + = L ) / 10 cos( ) / 6 cos(...
View Full Document

Page1 / 7

lecture23a - 1 Why sinusoids? The method of calculation is...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online