Question

366 26. For the circuit of Fig. 9,43, 1 30-) mA. (a) Select R, so th O)6 V (b) Compute e2 ms). (c) Determine the settling, time of t capacitor voltage. (d) Is the inductor current settling time the same CHAPTER9 THE REC 27/The curent source in Fig. 9.43 is 1,() 10el 1-) A. (a) SelectR that i(0)2 MA. Compute i at 500 ms and r-1002 ms. 28, The inductor in the circuit of Fig. 9.41 is changed such that the citoin response is now critically damped. (a) Determine the new indoctor vil (b) Calculate the energy stored in both the inductor and the capactne answer to part (c)? 200 F 20 mH 29. The circuit of Fig. 9.42 is rebuilt such that the quantity controlling the dependent source is now 100i, a 2 uF capacitor is used instead, and RiR 10 2. (a) Calculate the inductor value required to obtain & critically damped response. (b) Determine the power being absorbed by t 10 ms, FIGURE 9.43 at 1= 300 us. 9.4 The Underdamped Parallel RLC Circuit 30. (a) With respect to the parallel RLC circuit, derive an expression for ms of C andL to ensure the response is underdamped. (b) IfC-L L 10 mH, select R such that an underdamped response is (just barm achieved. (c) If the damping ratio is increased, does the circuit becom or less underdamped? Explain. (d) Compute a and oa for the val selected in part (b). 31. The circuit of Fig. 9.1 is constructed using component values 10 v and 18 pF. (a) Compute a, od, and a. Is the circuit overdamped damped, or underdamped? (b) Write the form of the natural cane response v(t). (c) If the capacitor initially stores I nJ of energy, ca I=300 n 32. The source-free circuit depicted in Fig. 9.1 is constructed using ductor, a 1 mF capacitor, and a 1.5 k2 resistor. (a) Calculate o. (b) Write the equation which describes the current i for t > 0. the maximum value of i, and the time at which it occurs, if the initially stores no energy and v(0)=9 V 33. (a) Graph the current i for the circuit described in Exercise 32 values 1.5 k2, 15 k2, and 150 k2. Make three separate graph extend the corresponding time axis to 6T/wd in each case. (b corresponding settling times. 34. Analyze the circuit described in Exercise 32 to find v(t), I> (a) 2 k2; (b) 2 S. (c) Graph both responses (d) Verify your answers with appropriate PSpice simulation over the range a 35 For the circuit of Fia 9.44 (0-) () i (0-). ww

Engineering circuit analysis by Hayt
8th edition
question 27 and figure 9.43

I think 10u(1-t) means 10 (for t<1) and 0
(for t>1)

then, I can't remove this current source because it continuously make 10micro A
(at t=500ms, t=1.002ms)

I don't know what's wrong now..

Answer 1

10u(-t+1) will be 10 when t<1 and will be 0 when t>1, as shown below

10u(t+1) 10 0 1 10u(-t+1) 10 0 +1

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