Problem 1RQ: For the circuit in Fig. 8.58, the capacitor voltage at t = 0 (just before the switch is closed) is:... Problem 2RQ: For Review Questions 8.1 and 8.2. 8.2For the circuit in Fig. 8.58, the initial inductor current (at... Problem 3RQ: When a step input is applied to a second-order circuit, the final values of the circuit variables... Problem 4RQ: If the roots of the characteristic equation of an RLC circuit are 2 and 3, the response is: (a)(A... Problem 5RQ: In a series RLC circuit, setting R = 0 will produce: (a)an overdamped response (b)a critically... Problem 6RQ Problem 7RQ: Refer to the series RLC circuit in Fig. 8.59. What kind of response will it produce? (a)overdamped... Problem 8RQ: Consider the parallel RLC circuit in Fig. 8.60. What type of response will it produce? (a)overdamped... Problem 9RQ: Match the circuits in Fig. 8.61 with the following items: (i) first-order circuit (ii) second-order... Problem 10RQ Problem 1P: For the circuit in Fig. 8.62, find: (a)i(0+) and v(0+), (b)di(0+)/dt and dv(0+)/dt, (c)i() and v().... Problem 2P: Using Fig. 8.63, design a problem to help other students better understand finding initial and final... Problem 3P: Refer to the circuit shown in Fig. 8.64. Calculate: (a) iL(0+), vC(0+), and vR(0+), (b) diL(0+)/dt,... Problem 4P: In the circuit of Fig. 8.65, find: (a) v(0+) and i(0+), (b) dv(0+)/dt and di(0+)/dt, (c) v() and... Problem 5P: Refer to the circuit in Fig. 8.66. Determine: (a) i(0+) and v(0+), (b) di/(0+)dt and dv(0+)/dt, (c)... Problem 6P: In the circuit of Fig. 8.67, find: (a) vR(0+) and vL(0+), (b) dvR(0+)/dt and dvL(0+)/dt, (c) vR()... Problem 7P: A series RLC circuit has R = 20 k, L = 0.2 mH, and C = 5 F. What type of damping is exhibited by the... Problem 8P: Design a problem to help other students better understand source-free RLC circuits. Problem 9P: The current in an RLC circuit is described by d2idt2+10didt+25i=0 If i(0) = 10 A and di(0)/dt = 0,... Problem 10P: The differential equation that describes the current in an RLC network is 3d2idt2+15didt+12i=0 Given... Problem 11P Problem 12P: If R = 50 , L = 1.5 H, what value of C will make an RLC series circuit: (a)overdamped, (b)critically... Problem 13P: For the circuit in Fig. 8.68, calculate the value of R needed to have a critically damped response.... Problem 14P: The switch in Fig. 8.69 moves from position A to position B at t = 0 (please note that the switch... Problem 15P: The responses of a series RLC circuit are vC(t)=3010e20t+30e10tViL(t)=40e20t60e10tmA where vC and iL... Problem 16P: Find i(t) for t 0 in the circuit of Fig. 8.70. Figure 8.70 For Prob. 8.16. Problem 17P: In the circuit of Fig. 8.71, the switch instantaneously moves from position A to B at t = 0. Find... Problem 18P: Find the voltage across the capacitor as a function of time for t 0 for the circuit in Fig. 8.72.... Problem 19P: Obtain v(t) for t 0 in the circuit of Fig. 8.73. Figure 8.73 For Prob. 8.19. Problem 20P: The switch in the circuit of Fig. 8.74 has been closed for a long time but is opened at t = 0.... Problem 21P: Calculate v(t) for t 0 in the circuit of Fig. 8.75. Problem 22P: Assuming R = 2 k, design a parallel RLC circuit that has the characteristic equation S2+100s+106=0. Problem 23P: For the network in Fig. 8.76, what value of C is needed to make the response underdamped with unity... Problem 24P: The switch in Fig. 8.77 moves from position A to position B at t = 0 (please note that the switch... Problem 25P: Using Fig. 8.78, design a problem to help other students better understand source-free RLC circuits.... Problem 26P: The step response of an RLC circuit is given by d2idt2+2didt+5i=10 Given that i(0) = 2 and di(0)/dt... Problem 27P Problem 28P: A series RLC circuit is described by Ld2idt2+Rdidt+iC=10 Find the response when L = 0.5 H, R = 4 ,... Problem 29P: Solve the following differential equations subject to the specified initial conditions (a) d2v/dt2 +... Problem 30P Problem 31P: Consider the circuit in Fig. 8.79. Find vL(0+) and vC(0+). Problem 32P: For the circuit in Fig. 8.80, find v(t) for t 0. Problem 33P: Find v(t) for t 0 in the circuit of Fig. 8.81. Problem 34P: Calculate i(t) for t 0 in the circuit of Fig. 8.82. Figure 8.82 For Prob. 8.34. Problem 35P: Using Fig. 8.83, design a problem to help other students better understand the step response of... Problem 36P: Obtain v(t) and i(t) for t 0 in the circuit of Fig. 8.84. Figure 8.84 For Prob. 8.36. Problem 37P: For the network in Fig. 8.85, solve for i(t) for t 0. Figure 8.85 Problem 38P: Refer to the circuit in Fig. 8.86. Calculate i(t) for t 0. Figure 8.86 Problem 39P: Determine v(t) for t 0 in the circuit of Fig. 8.87. Figure 8.87 For Prob. 8.39. Problem 40P: The switch in the circuit of Fig. 8.88 is moved from position a to b at t = 0. Assume that the... Problem 41P: For the network in Fig. 8.89, find i(t) for t 0. Figure 8.89 For Prob. 8.41. Problem 42P: Given the network in Fig. 8.90, find v(t) for t 0. Figure 8.90 For Prob. 8.42. Problem 43P: The switch in Fig. 8.91 is opened at t = 0 after the circuit has reached steady state. Choose R and... Problem 44P: A series RLC circuit has the following parameters: R = 1 k, L = 1 H, and C = 10 nF. What type of... Problem 45P: In the circuit of Fig. 8.92, find v(t) and i(t) for t 0. Figure 8.92 For Prob. 8.45. Problem 46P Problem 47P: Find the output voltage vo(t) in the circuit of Fig. 8.94. Figure 8.94 For Prob. 8.47. Problem 48P: Given the circuit in Fig. 8.95, find i(t) and v(t) for t 0. Figure 8.95 For Prob. 8.48. Problem 49P: Determine i(t) for t 0 in the circuit of Fig. 8.96. Figure 8.96 For Prob. 8.49. Problem 50P: For the circuit in Fig. 8.97, find i(t) for t 0. Figure 8.97 For Prob. 8.50. Problem 51P: Find v(t) for t 0 in the circuit of Fig. 8.98. Figure 8.98 For Prob. 8.51. Problem 52P: The step response of a parallel RLC circuit is v=10+20e300t(cos400t2sin400t)V,t0 when the inductor... Problem 53P: After being open for a day, the switch in the circuit of Fig. 8.99 is closed at t = 0. Find the... Problem 54P: Using Fig. 8.100, design a problem to help other students better understand general second-order... Problem 55P: For the circuit in Fig. 8.101, find v(t) for t 0. Assume that i(0+) = 2 A. Figure 8.101 For Prob.... Problem 56P: In the circuit of Fig. 8.102, find i(t) for t 0. Figure 8.102 For Prob. 8.56. Problem 57P: Given the circuit shown in Fig. 8.103, determine the characteristic equation of the circuit and the... Problem 58P: In the circuit of Fig. 8.104, the switch has been in position 1 for a long time but moved to... Problem 59P: The switch in Fig. 8.105 has been in position 1 for t 0. At t = 0, it is moved from position 1 to... Problem 60P: Obtain i1 and i2 for t 0 in the circuit of Fig. 8.106. Figure 8.106 Problem 61P: For the circuit in Prob. 8.5, find i and v for t 0. 8.5 Refer to the circuit in Fig. 8.66.... Problem 62P: Find the response vR(t) for t 0 in the circuit of Fig. 8.107. Let R = 8 , L = 2 H, and C = 125 mF.... Problem 63P: For the op amp circuit in Fig. 8.108, find the differential equation for i(t). Figure 8.108 For... Problem 64P: Using Fig. 8.109, design a problem to help other students better understand second-order op amp... Problem 65P: Determine the differential equation for the op amp circuit in Fig. 8.110. If v1(0+) = 2 V and v2(0+)... Problem 66P: Obtain the differential equations for vo(t) in the op amp circuit of Fig. 8.111. Figure 8.111 For... Problem 67P: In the op amp circuit of Fig. 8.112, determine vo(t) for t 0. Let vin = u(t) V, R1 = R2 = 10 k, C1... Problem 68P: For the step function vs = u(t), use PSpice or MultiSim to find the response v(t) for 0 t 6 s in... Problem 69P: Given the source-free circuit in Fig. 8.114, use PSpice or MultiSim to get i(t) for 0 t 20 s. Take... Problem 70P: For the circuit in Fig. 8.115, use PSpice or MultiSim to obtain v(t) for 0 t 4 s. Assume that the... Problem 71P: Obtain v(t) for 0 t 4 s in the circuit of Fig. 8.116 using PSpice or MultiSim. Problem 72P: The switch in Fig. 8.117 has been in position 1 for a long time. At t = 0, it is switched to... Problem 73P: Design a problem, to be solved using PSpice or MultiSim, to help other students better understand... Problem 74P: Draw the dual of the circuit shown in Fig. 8.118. Problem 75P: Obtain the dual of the circuit in Fig. 8.119. Problem 76P: Find the dual of the circuii in Fig. 8.120. Problem 77P: Draw the dual of the circuit in Fig. 8.121. Problem 78P: An automobile airbag igniter is modeled by the circuit in Fig. 8.122. Determine the time it takes... Problem 79P: A load is modeled as a 100-mH inductor in parallel with a 12- resistor. A capacitor is needed to be... Problem 80CP: A mechanical system is modeled by a series RLC circuit. It is desired to produce an overdamped... Problem 81CP: An oscillogram can be adequately modeled by a second-order system in the form of a parallel RLC... Problem 82CP: The circuit in Fig. 8.123 is the electrical analog of body functions used in medical schools to... Problem 83CP: Figure 8.124 shows a typical tunnel-diode oscillator circuit. The diode is modeled as a nonlinear... format_list_bulleted