lecture2 - Boise State University Department of Electrical...

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Unformatted text preview: Boise State University Department of Electrical and Computer Engineering ECE212 – Circuit Analysis and Design Lecture #2: The Phasor Transform II Lecture Objectives : 1. To define performance measures of periodic waveforms (zero-to-peak value, peak-to-peak value, average value, effective or rms value, form factor, and crest factor). 2. To give a physical interpretation of the effective (rms) heating value of a periodic waveform. 3. To compute the above performance measures for common periodic waveforms. 9 8 7 6 5 3 t 4 2 1 3 2 1-1 v(t) Period: T = 4 (s) Frequency: f = 1 4 = 0 . 25 (Hz) Zero-to-Peak or Peak Value : V p = max {| V max | , | V min |} = max {| 3 | , | - 1 |} = 3 (V) Peak-to-Peak Value : V pp = V max- V min = 3- (- 1) = 4 (V) Average Value : V avg = 1 T ∫ T v ( t ) dt = 1 T × Area under v ( t ) during one period = 1 4 [3 × 1 + 2 × 1 + (- 1) × 1 + 0 × 1] = 4 4 = 1 (V) Note : V avg = 1 T ∫ T v ( t ) dt = ⇒ TV avg = ∫ T v ( t ) dt Interpretation : The average value of a periodic waveform is the value of a constant (DC) waveform...
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This document was uploaded on 11/01/2011 for the course ECE 212 at Boise State.

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lecture2 - Boise State University Department of Electrical...

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