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ECEN 3021 Experimental Methods-II Lab 3 Circuit (i) Circuit (ii) Pre Lab: For the above circuits, i) ii) iii) iv) v) vi) Find the differential equations, transfer functions, pole locations and time constants. Find the voltage step responses analytically (using Laplace Transforms) and sketch them. Use PSpice to plot the voltage step responses. Use Matlab to plot the voltage step responses. If the resistor value is halved and the capacitor value doubled in circuit (i), predict how the voltage step response will change. Explain your prediction. Check with PSpice. If resistance is increased in circuit (ii), predict how the voltage step response will change. How will the effect of an increased capacitance be different than the effect of an increased resistance? How would it be the same? Explain your predictions. Check with PSpice. Electrical & Computer Engineering Oklahoma State University ECEN 3021 Experimental Methods-II Lab 3 Lab experiment: For the above circuits, i) ii) iii) iv) Design and implement experiments to obtain the voltage step responses for each circuit experimentally. (Hint: use a square wave source voltage to produce the step responses.) Verify experimentally part (v) of the pre-lab. Verify experimentally part (vi) of the pre-lab. Compare all responses (obtained in lab experiments and pre lab) and explain any discrepancies. Describe the mathematical relationship between the response of Circuit (i) and the response of Circuit (ii). Key topics: First-order circuit, Laplace transform, transfer function, pole, time constant, step response. Reference material: Electric Circuits, Nilsson and Reidel, Chapters 7, 12, 13 Electrical & Computer Engineering Oklahoma State University