exp4 woorksheet.docx

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Exponential Waveforms By Clara Nehmeh Ramez Tohme Presented to Mr. Nassif Daoud A worksheet for the Circuit Lab ELEN 303 Faculty of Engineering University of Balamand 04-10-2016
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Prelab: 1.a) R 2 = 10 8 > 4 L C = 10 7 α = R 2 L = 10 10 3 2 0.25 = 20000 ωo = 1 / LC = 1 0.25 0.1 10 6 = 6324.55532 This is an over-damped case; Therefore the roots for this case are: m 1 =− 2 ω o 2 =− 38973.66596 m 2 =− + 2 ωo 2 =− 1026.334039 1.b) Due to the fact that it is a critically damped case R 2 = 4 L C = 3162.27766 In addition that both of the roots are equal m 1 = m 2 =− α = R 2 L = 3162.27766 2 0.25 1.c) R = 150 Ω→R 2 = 22500 R 2 < 4 L C = 10 7 α = 150 2 0.25 = 300 This is an under-damped case; wd = wo 2 α 2 = 6324.55532 2 −( 150 /( 2 0.25 )) 2 = 6317.436188 m 1 =− α + jwd m 2 =− α jwd
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Case A, Over-Damped Case: Sketch: of the decaying rectangular waveform: The first point for t1= µs and v (t1)= V Then the second point t2= µs and we get v (t2) = V From a previous experiment, the time constant is calculated using
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