Question

just do question 26 and 30 and show all your work

(a) Select R so that 26. For the cincuit of Fig. 943,.40 30u-) m v(0+) 6 V. (b) Compute (2 ms). (c) Determine the settling time of the capacitor voltage. (d) Is the inductor current settling time the same as your answer to part (c)? 27. The current source in Fig. 9.43 is id) = 101(1-1) μ A. (a) Select Ri such that iLO")-2 μΑ. Compute L at t-500 ms and t-: 1.002 ms. 28. The inductor in the circuit of Fig. 9.41 is changed such that the circuit response is now critically damped. (a) Determine the new inductor value. (b) Calculate the energy stored in both the inductor and the capacitor at 10 ms 20 mH 5Ω AGURE 9.43 29. The circuit of Fig. 9.42 is rebuilt such that the quantity controlling the dependent source is now 100iA, a 2 uF capacitor is used instead, and R,-R,-10 Ω. (a) Calculate the inductor value required to obtain a critically damped response. (b) Determine the power being absorbed by R2 at 300 s 9.4 The Underdamped Parallel RLC Circuit 30. (a) With respect to the parallel RLC circuit, derive an expression for R in terms of C and L to ensure the response is underdamped. (b) If C I nF and L = 10 mH, select R such that an underdamped response ís (just barely) achieved. (c) If the damping ratio is increased, does the circuit become more or less underdamped? Explain. (d) Compute a and o for the value of R you selected in part (b) 31 . The circuit of Fig. 9.1 is constructed using component values 10 ks, 72 μ H, and 18 pF. (a) Compute a, o, and an. Is the circuit overdamped, critically damped, or underdamped? (b) Write the form of the natural capacitor voltage onse v0). (c) If the capacitor initially stores I nJ of energy, compute u at 300 ns 32. The source-free circuit depicted in Fig. 9.1 is constructed using a 10 mH in ductor, a l mF capacitor, and a 1 .5 kΩ resistor (a) Calculate a, on and ab (b) Write the equation which describes the current i for t> 0. (c) Determine the maximum value of i, and the time at which it occurs, if the inductor initially stores no energy and (0)-9V 33. (a) Graph the current i for the circuit described in Exercise 32 for resistor values 1,5 k Ω, 15 kQ, and I 50 kQ. Make three sepa extend the corresponding time axis to 6/a in each case. (b) Determine corresponding settling times. 34. Analyze the circuit described in Exercise 32 to find vo,t>O, if R is equal to (@)2k?: b) 2 s2. (o) Graph both responses over the range of 0 s60 ms. rate graphs and be sure to

Answer 1

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