step response Lab report- exp 4.docx

# step response Lab report- exp 4.docx

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Experiment #4 Step Response By Ludwig El Khoury Elie Ashkar Presented to Dr. Nassif Daoud Faculty of Engineering University of Balamand 22-10-2014

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1-OBJECTIVE: -Examine the behavior of under-damped, critically-damped and over-damped of second order circuits. -show how Tc is affected in each case. 2-PROCEDURE: First of all, we connected the following circuit: We know that the characteristic equation is: S 2 + 2*α*S + W 0 2 =0 The solution to this equation is: S1= 2 0 2 and S2= 2 0 2 . And we also have 0 LC / 1 ; L R 2 / . L=0.25H; C=0.1*10^-6F. Lets get the roots S1 and S2 in three cases. Case A: We set R(potentiometer)=10kΩ:
So 0 =6324.55; α=20000; 0 6 ^ 10 * 40 10 * 40 3 2 s s The roots of the characteristic equation of the above circuit are: S 1 =-1026.33 & S 2 = -38973.66 4 ^ 1 1 10 * 74345 . 9 | / 1 | S T c s & 5 2 2 ^ 10 * 5658 . 2 | / 1 | S T c s T C1 > T C2 So T1=5* T C2 =1.28*10 -4 s= 128 µs Using the sketch:

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T 1 = 128 µs V 1 = -801 mV T 2 = 559 µs V 2 = -150 mV Using the equation : T c = FC ) t ( v
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• Winter '19
• Characteristic polynomial, Complex number, LC circuit, tc, The Roots

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