Exp4- Step Response Analysis2.pdf

# Exp4- Step Response Analysis2.pdf

• 5

This preview shows page 1 - 3 out of 5 pages.

Step Response Analysis Purpose: Examine the behavior of under-damped, critically-damped and over-damped second- order circuits. Equipment Required: 1 - HP 54600B Oscilloscope 1 - HP 33120A Function Generator 1 - Protoboard 1 - Multimeter 1 - RCL meter (can be shared) 1 - 10-k Potentiometer 1 - 0.25-H Inductor 1 - 0.1- µ F capacitor Prelab: Read Sections 8-5 , 8-6 and 8-7 in the text * . 1. The characteristic equation A simplified model for an inductor, shown in Fig. 1, consists of an ideal inductor in series with a parasitic resistance R P . For all prelab calculations, use the inductor model in Fig. 1 and assume R P = 100 . a. For R = 10 k , L = 0.25 H, and C = 0.1 µ F, find the roots of the characteristic equation of the circuit in Fig. 2. b. Find the critical resistance R C that will result in two equal roots. Find an expression for v C (t) if v i (t) = 2u(t) V and R = R C . c. For R = 150 , find the roots of the characteristic equation of the circuit in Fig. 2. 2. CCA The procedure section of this lab exercise examines all three cases for an RLC circuit, overdamped (Case A), critically damped (Case B) and underdamped (Case C). This CCA exercise predicts the circuit response in these three states.

Subscribe to view the full document.

Enter the circuit of Fig. 3 into a CCA program. In all cases, v i (t) is a square wave source with V pp = 2 V. Use the transient analysis method. The output is the circuit voltage across the capacitor, v C (t). R TH should be set to the output resistance of the function generator used in your laboratory. R P is 100 . Plot and print out the circuit response for two transitions of the source, one positive-going step and one negative-going step, for each “case” listed below. Case A: Set the value of R to 10 k . Case B: Compute the value of R required to critically damp the circuit of Fig. 3, from R C = R + R P + R TH . The resistance R in the circuit of Fig. 2 represents the total circuit resis-tance, including R P and R TH . To achieve the critically damped state for the CCA — and in the
You've reached the end of this preview.
• Winter '19
• Derivative, Resistor, Inductor, RC circuit, Exponential decay

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern