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Power and RMS Value of a Signal
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[QUOTE="JamesBennettBeta, post: 6510290, member: 665238"] [B]Homework Statement:[/B] How to determine the power and RMS value of the given signals. [B]Relevant Equations:[/B] $$ P_{x} \ =\ \lim _{T\ \\rightarrow\infty } \ \frac{1}{T}\int _{-T/2}^{+T/2\ } x^{2} \ ( t) \ dt,$$ $$ P_{x} \ =\ \frac{A^{2}}{2},$$ I need to calculate the power and RMS value of some equations. The problem is, I found two methods to do that and don't know which is the right method. I have few equations to find the power and RMS value, but here is one equation. $$x( t) \ =\ 7\cos\left( 20t+\frac{\pi }{2}\right),$$ [B]Method #1 [/B] To find the power value, $$ P_{x} \ =\ \lim _{T\ \rightarrow\infty } \ \frac{1}{T}\int _{-T/2}^{+T/2\ } x^{2} \ ( t) \ dt ,$$ To find the RMS value, $$ P_{rms} \ =\ \sqrt{P_{x}},$$ This seems the right method for me, but later I found a YouTube video with a completely different approach. [B]Methods #2 [/B] To find the power value, $$ P_{x} \ =\ \frac{A^{2}}{2},$$ A is the amplitude of the equation.To find the RMS value, $$ P_{rms} \ =\ \sqrt{P_{x}},$$ [/QUOTE]
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Power and RMS Value of a Signal
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