Understanding RMS Values in Electricity
Explore the concept of Root-Mean-Square (RMS) values in electricity through lectures by Hung-yi Lee, textbook references, and explanations of 110V outlets. Learn the significance of 110V, effective values, and calculations related to RMS values in electrical systems.
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Presentation Transcript
Lecture 19 RMS Values Hung-yi Lee
Textbook Chapter 7.1 P299 - 301
110 V Outlet What is the meaning of 110V? A. Average voltage 0 B. Average of the absolute voltage C. Peak voltage D. None of the above Effective value, Root-mean-square (rms) value
+ t T v 1 0 t 0 = 2 V ( ) t dt RMS Values rms T If v(t)=Vmcos( t+ ) + t T 1 0 ( ( ) ) t 0 2 = + V V cos t dt rms m T + t T cos 1 0 1 ( ) ( ) t 0 2 = + = + 2 cos2 1 cos V t dt 2 m T + V t T 1 1 0 ( ( ) ) = t 0 m = + + V 1 cos 2 t dt m 2 2 T
110 V Outlet What is the meaning of 110V? Effective value, Root-mean-square (rms) value V = V m = = V 110 2 155 6 . V rms m 2
