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systems analysis and design

The Analysis And Design Of Linear Circuits 8th Edition Roland E. Thomas, Albert J. Rosa, Gregory J. Toussaint - Solutions

For the circuit shown in Figure 8–46(a), design an interface that converts an input voltage of VS =90ff0 V into an output of VO =63:6ff−45 V. The circuit is operating at 1000 rad=s. Validate your design using Multisim. +1 V = 90 6 + Interface Vo 63.645
The circuit in Figure 8–49(a) is operating in the sinusoidal steady state. Convert the circuit into the phasor domain and find the phasor voltages at nodes A and B. v(t) = 10 cos(10 kt-90) V A B 2 F i(t)=100 cos(10 kt) mA 10 mH (a) ee 50
Use Multisim to solve for the node voltages VA and VB in the circuit of Figure 8–49(a). v(t) 10 cos(10 kt-90) V A B =2 F i(t)=100 cos(10 kt) mA + 10 mH w ee 50
Use node analysis to find the current IX in Figure 8–51. 1+ Vc 50 j2002 50 75/0 V -j1200 FIGURE 8-51 VB VA Ix 60
The circuit in Figure 8–51 is operating in the sinusoidal steady state at 10,000 rad=s.UseMultisim to find the Thévenin equivalent circuit seen by the capacitor. Then use the Thévenin circuit to find the current waveform through the capacitor. 75/0 V + I 50 Vc 50 j2002 VA m VB -j1200 FIGURE
The circuit in Figure 8–51 is operating in the sinusoidal steady state at 10,000 rad=s. Use Multisim to find the Thévenin equivalent circuit seen by the 60-Ω resistor. Then use the Thévenin circuit to find the current waveform through the 60-Ω resistor. 75/0 V + I FIGURE 8-51 50 Vc 50 VA
Use node-voltage analysis to determine the phasor input–output relationship of the OP AMP circuit in Figure 8–53. 1+ FIGURE 8-53 Vo
In the circuit of Figure 8–53, Z1 is a 1-kΩ resistor and Z2 is the parallel combination of a 10-kΩ resistor and a 1-μF capacitor. Determine the output voltage υOðtÞ if the input is υSðtÞ = 1 cos 100t V. 1+ FIGURE 8-53 Vo
Avendor claims that the circuit shown in Figure 8–54 is a high-pass filter with a cutoff frequency of ωC =1=R1C and a pass-band gain of −R2=R1. Verify his claim by finding the phasor voltage ratio VO=VS and determining at what radian frequency the gain falls to 0.707 of the pass-band (maximum)
Use the circuit of Figure 8–54 to design a high-pass filter with a pass-band gain of −100 and a cutoff frequency ωC of 10,000 rad=s. Use standard parts (see the inside rear cover). 1/joC R R w w + Vo + FIGURE 8-54
Find the input–output relationship VO=VS =K for the circuit of Figure 8–55. Then for R1 =1 kΩ,C1 =0:1 μF, R2 =10 kΩ,and C2 =1 μF, useMATLAB to create a plot of the log of the magnitude of the input–output relationship K versus the log of the frequency from 1 rad=s to 1 Mrad=s. Discuss the
Design a bandpass filter with a lower frequency cutoff of 100 Hz and an upper frequency cutoff of 20 kHz.
The circuit in Figure 8–57 is an equivalent circuit of an ac induction motor. The current IS is called the stator current, IR the rotor current, and IM the magnetizing current.Use the mesh-current method to solve for the branch currents IS, IR, and IM. 0.12 0.42 j0.4.2 w IM 10 360/0 V IA FIGURE
Use MATLAB and mesh-current analysis to find the branch currents I1, I2, and I3 in Figure 8–58. 120/0 V( +1 j102 m j5Q IA j2002 Vc VB 13 Ic 1+ 120-30 V - 50 VD IB
Repeat Example 8–32 but use node-voltage analysis to solve for the currents of Figure 8–58.Which method do you think is easier and why? VA 120/0 V(+ j100 j5Q IA j2002 +1 VB 13 120-30 V IB VD Vc 50
Use the mesh-current method to solve for output voltage V2 and input impedance ZIN of the circuit in Figure 8–59. ZIN 2002 j250 2 -j500 100 V IA HH | 400 IB +1 50 + V2 2Vx- FIGURE 8-59
Use the mesh-current or node-voltage method to find the output voltage V2 and input impedance ZIN in Figure 8–60. w m 50 1100 5/0 V(+ -j500 50.0 V2 -j500 ZIN FIGURE 8-60
In the circuit in Figure 8–61, the input voltage is υSðtÞ = 10 cos 105t V. Use nodevoltage analysis and MATLAB to find the input impedance at the input interface and the proportionality constant relating the input voltage phasor to the phasor voltage across the 50-Ω load resistor, that is, K
Use MATLAB and either mesh-current or node-voltage analysis to find the current IX in Figure 8–62. m Ixj6002 ww w 60.02 6002 60 =-j60 500/0 V +1 FIGURE 8-62 -j2002
The circuit in Figure 8–63 is operating in the sinusoidal steady state at 10 krad/s. Use Multisim to find the output waveforms corresponding to VO and IO. + 2 k2|: Is = 20/45 mA -/2002 iee + + -j50 Vo 100Vx
Find the average power delivered to the load to the right of the interface in Figure 8–67. 15020 V 50 ww ZL j2502 000 =-75 100 2
The circuit in Figure 8–68 is operating in the sinusoidal steady state at 60 Hz. Find the average power delivered to the 25-Ω load. Then use Multisim to validate your answer. (Hint:Place a small 0:1-μΩ resistor in series with either inductor to avoid a singular event that prevents Multisim
(a) Calculate the average power delivered to the load in the circuit shown in Figure 8–70(a) for υSðtÞ = 5 cos 106t V, R= 200 Ω, RL = 200 Ω, and C = 0:01 μF.(b) Calculate the maximum average power available at the interface and specify the load required to draw the maximum power. R w vs(!)
Calculate the maximum average power available at the interface in Figure 8–71. j100 2 FIGURE 8-71 50 - 150
8–1 Transform the following sinusoids into phasor form and draw a phasor diagram. Use the additive property of phasors to find v1ðtÞ + v2ðtÞ.(a) v1ðtÞ = 100 cosðωt−45Þ V(b) v2ðtÞ = 200 cosðωt + 135Þ V
8–2 Transform the following sinusoids into phasor form and draw a phasor diagram. Use the additive property of phasors to find i1ðtÞ + i2ðtÞ.(a) i1ðtÞ = −4 sinðωtÞA(b) i2ðtÞ = 3 cosðωtÞA
8–3 Transform the following sinusoids into phasor form and draw a phasor diagram. Use the additive property of phasors to find v1ðtÞ + v2ðtÞ + v3ðtÞ.(a) v1ðtÞ = 100 cosðωt − 45ÞV(b) v2ðtÞ= 100 cosðωt + 75ÞV(c) v3ðtÞ = 100 cosðωt + 195ÞV
8–4 The sum of the two voltage phasors shown in Figure P8–4 is V3. If the frequency is 60 Hz, write the sum in the time domain, v3ðtÞ. j Im 20 20 V V2 10 102 135 Re -10 10 20 FIGURE P8-4
8–5 Convert the following phasors into sinusoidal waveforms.(a) V1 = 220 e−j45V, ω = 314:2 rad=s(b) V2 = 110 ej45V, ω = 377 rad=s(c) I1 =30 e−j26:6mA, ω = 314:2 rad=s(d) I2 =50 e−j145mA, ω = 377 rad=s
8–6 Use the phasors below and the additive property to find the sinusoidal waveforms v3ðtÞ = v1ðtÞ−v2ðtÞ and i3ðtÞ = 2i1ðtÞ + 3i2ðtÞ.V1 =15ff15 V, ω=2π × 440 rad=s V2 =15ff195 V, ω=2π × 440 rad=s I1 = 200ff−45 mA, ω=104 rad=s I2 = −100ff135 mA, ω=104 rad=s
8–7 The phasor representation of a sinusoid with ω = 200 rad=s is V = 10 − j10 V. Use the phasor derivative property to find the time derivative of the sinusoid.
8–8 Convert the following phasors into sinusoidal waveforms:(a) V1 = 5 + j5V, ω = 10 krad=s(b) V2 = 3 ð8 − j6Þ V, ω = 3Mrad=s(c) I1 = 12 + j5 +5 j mA, ω = 377 rad=s(d) I2 = 330 + j810 2200 − j560 A, ω = 100 rad=s
8–9 If the derivative property of phasors is multiplication of the phasor by jω, the integral property of phasors is division of the phasor by jω. Use phasors and these properties to find the sinusoids in each of the following:(a) v2ðtÞ = 1 100 dv1ðtÞdt + 20 v1ðtÞ and v1ðtÞ = 10 cos
8–10 Given the sinusoids v1ðtÞ = 250 cos ðωt − 45Þ V and v2ðtÞ = 750 sin ð ωtÞ V, use the additive property of phasors to find v3ðtÞ such that v1 + v2 + v3 = 0.
8–11 Graphically add the following three phasors and determine their sum: V1= 14:14 + j 14:14 V, V2 = 10ff – 60 V, V3 = – 3:42 – j 9:40 V.
8–12 Given a sinusoid v1ðtÞ whose phasor is V1 = 4 – j 3 V, use phasor methods to find a voltage v2ðtÞ that lags v1ðtÞ by 90and has an amplitude of 10 V.
8–13 A new parameter Z is defined as V=I: If V = 9:85 +j 1:74 V and i ðtÞ = −4 sinðωtÞA, find Z.
8–14 Complex power S is defined as VI∗, where I∗ is the complex conjugate of the current phasor. If V = 1200 + j 1600 V and I = 800 − j 600 mA, find S.
8–15 A design engineer needs to know what value of R, L, or C to use in circuits to achieve a certain impedance.(a) At what radian frequency will a 0:015-μF capacitor’s impedance equal −j100 Ω?(b) At what radian frequency will a 33-mH inductor’s impedance equal j100 Ω?(c) At what radian
8–16 Using standard values fromthe inside rear cover, select values of components that will yield ZL = 80ff 45 Ω ±5%at 5 kHz.
8–17 For the circuit of Figure P8–17(a) Find the equivalent impedance Z when ω = 2000 rad=s.Express the result in both polar and rectangular forms.(b) Select standard values from the inside rear cover to realize the results ± 10% from part (a). Z 100 20 mH wm 2002 100 F FIGURE P8-17
8–18 Find the equivalent impedance Z in Figure P8–18. If ω = 10 krad=s, what two elements (R, L, and/or C) could be used to replace the phasor circuit? Z w 50 -j500 j100 2 402 FIGURE P8-18 - 1200
8–19 Find the equivalent impedance Z in Figure P8–19 when ω = 50 krad=s. What two elements (R, L, and/or C) could be used to replace the phasor circuit? N 33 ww 2 mH -m 0.47 F: 200 $2 FIGURE P8-19
8–20 A certain RLC series load has a ZL = 100 – j999 Ωwhen excited by a 1-krad=s source and a ZL = 100 + j90 Ωwhen driven by a 100-krad=s source. Find the values of R, L, and C.
8–21 Find the equivalent impedance Z in Figure P8–21. If ω = 150 krad=s what two elements (R, L, and/or C) could be used to replace the phasor circuit? Z el ee j600 $2 1900 600 -j300 FIGURE P8-21
8–22 The circuit in Figure 8–21 is operating in the sinusoidal steady-state with ω = 10 krad=s.(a) How would the element impedances change if the steady-state frequency were reduced to 100 rad=s?(b) What is the equivalent impedance Z at this new frequency?(c) What two elements (R, L, and/or C)
8–23 The circuit in Figure P8–23 is operating in the sinusoidal steady state with ω = 100 krad=s.(a) Find the equivalent impedance Z.(b) What circuit element can be added in series with the equivalent impedance to place the circuit in resonance? Z 5 F 5 F 2.5 mH 50 FIGURE P8-23
8–24 The circuit of Figure P8–24 is operating at 50 Hz. Find the equivalent impedance Z. Z 15 8.2 ml m ee-w 3ix(t) fixo 220 F FIGURE P8-24
8–25 The equivalent impedance in Figure P8–25 is known to be Z = 60 + j180 Ω. Find the impedance of the inductor. Z -j200 600 FIGURE P8-25 ZL
8–26 Acapacitor C is connected in parallel with a resistor R. Select values of R and C so that the equivalent impedance of the parallel combination is 300 − j400 Ω at ω = 1 Mrad=s.
8–27 The circuit in Figure P8–27 is excited by a 1 krad=s sinusoidal source. As the circuit’s designer, select a capacitor C such that the impedance Z looking into the circuit is all real. 100 10 mH Z FIGURE P8-27
8–28 An 820-Ω resistor is connected in parallel with a 1000-pF capacitor. The impedance of the parallel combination is 410 – j410 Ω. Find the frequency.
8–29 Two impedances Z1 = 300 – j50 Ω and Z2 = 450 +j100 Ω are connected in parallel. Find the equivalent impedance of the pair.
8–30 A 100-mH inductor and a 100-Ω resistor are connected in parallel. The circuit is excited by a voltage source with vSðtÞ = 10 cos ð1 kt – 45Þ V. What is the steady-state current iSðtÞ flowing from the source?
8–31 A voltage vSðtÞ = 50 cos ð5000tÞ V is applied to the circuit in Figure P8–31.(a) Convert the circuit into the phasor domain.(b) Find the phasor current flowing through the circuit and the phasor voltages across the inductor and the resistor.(c) Plot all three phasors from(b) on a
8–32 The circuit in Figure P8–32 is operating in the sinusoidal steady state. Find the phasor current and the two element voltages. Is the phasor voltage across the capacitor leading or lagging the current? 22 ww + VR- 5/30 V -22 HH + VC- +1 FIGURE P8-32
8–33 A voltage vðtÞ = 100 cos ð3 ktÞ V is applied across a series connection of a 33-kΩ resistor and 3300-pF capacitor.Find the steady-state current iðtÞ through the series connection.
8–34 A complex load is driven by a current source iðtÞ = 50 cos ð5 ktÞmA. The voltage measured across the load is vðtÞ = 100 cosð5 kt – 85Þ V. Find the impedance of the load and determine what two elements R, L, and/or C are equivalent to it.
8–35 The circuit in Figure P8–35 is operating in the sinusoidal steady state with vSðtÞ = VA cos ðωtÞ. Derive a general expression for the phasor response IL and the voltage VO. R ww + vs(t) iL (1) + L R VO(f) FIGURE P8-35
8–36 A current source delivering iðtÞ = 120 cos ð500tÞmA is connected across a parallel combination of a 10-kΩ resistor and a 0:2-μF capacitor. Find the steady-state current iRðtÞ through the resistor and the steady-state current iCðtÞ through the capacitor. Draw a phasor diagram
8–37 The circuit in Figure P8–37 is operating in the sinusoidal steady state with iSðtÞ = IA cos ðωtÞ. Derive general expressions for the steady-state responses VR and IC. 2R ww vic(t) RVR(f) is(t) + C FIGURE P8-37 -
8–38 A practical voltage source can be modeled using an ideal voltage source vSðtÞ = 120 cosð2π400tÞ V in series with a 50-Ωresistor. Convert the source into the phasor domain and then do a source transformation into a current source in parallel with an impedance. Finally, convert the
8–39 A current source of IN =50ff – 70:5 mA is in parallel with an impedance of Z = 150 – j50 Ω. Convert the practical current source into a voltage source in series with an impedance.Then convert the voltage source back into the time domain if the frequency is 100 Hz.
8–40 A current of iðtÞ = 100 cos ð10 kt – 45ÞmA is applied across a parallel connection of a 1:5-kΩ resistor, a 150-mH inductor, and a 0:0667-μF capacitor. Use current division to find the steady-state currents iCðtÞ, iLðtÞ, and iRðtÞ through each of the three elements. Find the
8–41 The circuit in Figure P8–41 is operating in the sinusoidal steady state. Find the steady-state response vxðtÞ. 500 w 0.25 H -m + 1 F 500 vx(t) +1 100 cos 2000r V FIGURE P8-41
8–42 The circuit in Figure P8–42 is operating in the sinusoidal steady state. Find the steady-state responses vxðtÞ and ixðtÞ. 1 3 cos 2500r A 0.2 F HH fix(D) + 2 ks vx(t) FIGURE P8-42
8–43 Use the unit-output method to find VX and IX in the circuit of Figure P8–43. 20045 mA - 1200 + 200 FIGURE P8-43 Ix 400
8–44 The circuit in Figure P8–44 is driven by a 100-krad=s source and is operating in the sinusoidal steady-state. Use Multisim to find the steady-state phasor response Vx. 1000 V +1 -j2002 HE 50 w 100 -j500 FIGURE P8-44 V. x -
8–45 The circuit in Figure P8–45 is operating in the sinusoidal steady state.(a) Use superposition to find the phasor response Ix.(b) If the circuit is driven by a 1000 rad=s source, use Multisim to validate your response in part (a). j2502 50 w Ix 145 A2592 =-j50 2 100/-45 V FIGURE P8-45
8–46 The circuit in Figure P8–46 is operating in the sinusoidal steady state.(a) Use superposition to find the response vxðtÞ.(b) Use Multisim to validate your response in part (a).Note: The sources do not have the same frequency 1+ +5 cos 1500t V 500 2 + 10 cos 500t V 2 F vx(t) FIGURE P8-46
8–47 An RC series circuit is excited by a sinusoidal source vðtÞ = VA cosðωt + φÞ V. Determine the effects on the magnitudes of the current, voltages, and impedances caused by changes in the source parameters. Complete the following table SOURCE Increase/decrease VA Increase/decrease w
8–48 The circuit in Figure P8–48 is operating in the sinusoidal steady state.(a) Use superposition to find the response vxðtÞ.(b) Validate your answer using Multisim. 10 cps 2000t V- C + 3 F + 7592 75 2 500 $2 vx(1) -200 cos(20001-45) mA FIGURE P8-48
8–49 The circuit in Figure P8–49 is operating in the sinusoidal steady state. Use superposition to find the response vxðtÞ.Note: The sources do not have the same frequency. 1 100 cos 2000t V www 1 F -200 cos(10001 +45) mA FIGURE P8-49 + 1 (1)
8–50 The bridge circuit in Figure P8–50 is operating in the sinusoidal steady state.(a) Is the bridge balanced, that is, VX = 0?(b) What impedance, if any, should be connected across VX to cancel the reactance in the circuit? 100 -30 V 1+ 20 2 + Vx j40 2 -j100 2002 FIGURE P8-50
8–51 The OP AMP circuit of Figure P8–51 has VS =2 ff – 15 V, ZS =50 ff+30 Ω, ZF = 100 ff– 45 Ω, and a VCC of ± 15 V.(a) Find the output voltage VO across and the current IO through ZL when it is 1000 ff0 Ω.(b) Find the output voltage VO across and the current IO through ZL when it is
8–52 Design an equivalent ZS = 50ff+30 Ω and ZF = 100 ff– 45 Ω if the circuit of Figure 8–51 is operating in the steady state at a frequency of 1000 rad=s.
8–53 The circuit in Figure P8–53 is operating in the sinusoidal steady state. Use the unit-output method to find the phasor responses VX and IX 50 100 w 1500 Vj50 kQ= -100 Vx Ix FIGURE P8-53
8–54 Find the Thévenin equivalent of the source circuit to the left of the interface in Figure P8–54. Then use the equivalent circuit to find the steady-state voltage vðtÞ and current iðtÞ delivered to the load. Validate you answer using Multisim. 1+ i(t) Load 2 mH m 1 ww + v(t) ww 500
8–55 For the circuit in Figure P8–55, do the following:(a) Find the phasor Thévenin equivalent of the source circuit to the left of the interface by hand. Then use Multisim to validate your Thévenin circuit.(b) Use the equivalent circuit to find the phasor voltage V and current I delivered to
8–56 The circuit in Figure P8–56 is operating in the sinusoidal steady state. When ZL = 0, the phasor current at the interface is I = 4:8 – j3:6 mA. When ZL = – j20 kΩ, the phasor interface current is I = 10 + j0 mA. Find the Thévenin equivalent of the source circuit. Source V ZL FIGURE
8–57 Design a linear circuit that will deliver an output phasor VO = 60ff45 V when an input phasor VS = 240 ff0 V is applied in Figure P8–57. + Vs Linear Circuit FIGURE P8-57 Vo
8–58 Design a linear circuit that will deliver an output phasor VO = 240 ff0 V when an input phasor VS = 60ff 45 V is applied in Figure 8–57. Assume the source is operating at 1000 rad=s and select values for your components. (Hint:Use an inverting OP AMP.)
8–59 A load of ZL = 1000 + j1000 Ω is to be driven by a phasor source VS = 120 ff0V. The voltage across the load needs to be VL = 100 ff0 V. Design an interface that will meet these conditions. Validate your answer using Multisim.Assume the source is operating at 1000 rad=s.
8–60 Design an interface circuit so that an input voltage vSðtÞ = 100 cos 2 × 104t V delivers a steady-state output current of iOðtÞ = 10 cos 2 × 104t −60 mA to a 1-kΩ resistive load. Validate your answer using Multisim.
8–61 Design an interface circuit so that an input voltage vSðtÞ = 15 cosð100 ktÞV delivers a steady-state output voltage of vOðtÞ = 10 cosð100 kt – 45ÞV.
8–62 Refer to the RLC series circuit shown in Figure P8–62.(a) What is the maximum output voltage vOðtÞ and at what frequency does it occur? Use Multisim and do an ac sweep from 10 Hz to 1 MHz, and then narrow your sweep until you find the frequency at which the peak occurs and the output
8–63 The circuit in Figure P8–63 is operating in the sinusoidal steady state with ω = 10 krad=s. Use node-voltage analysis to find the steady-state response vxðtÞ. Use Multisim to validate your answer. 15 costof V 1+ 0.5 H -000 + 0.1 F 10 kn vx(t) +1 FIGURE P8-63 30 cos(at - 45) V
8–64 For the phasor circuit in Figure P8–64:(a) Use node-voltage analysis to find the steady-state phasor response VO.(b) Use mesh-current analysis to find the steady-state phasor response VO.(c) Which method was easier to solve and why? j2002 ~000 j100 2 000 1200 V j500 2002 Vo FIGURE P8-64
8–65 The circuit in Figure P8–65 is operating in the sinusoidal steady state(a) Find the node voltage phasors VA and VB.(b) If the circuit is operating with ω = 10 krad=s, use Multisim to verify your answer in (a). 500 www VA 10/0 A VB -j200 100 2 81100 -j100 Q
8–66 Use MATLAB and mesh-current analysis to find the branch currents I1, I2, and I3 in Figure P8–66. 1 i(t) ww 10 mH 1+ 0.04 F HH iz(1) i3(1) eee +1 100 sin 10% V FIGURE P8-66 -100 cos 10t V
8–67 Use mesh-current analysis to find the phasor branch currents I1, I2, and I3 in the circuit shown in Figure P8–67.Validate your answer using Multisim. w ww - 13(1) 0.04 F 12(1) HE i(1) 50 sin (104) V +10 mH ee FIGURE P8-67 -50 cos (1041) V
8–68 Use mesh-current analysis to find the phasor branch currents I1, I2, and I3 in the circuit shown in Figure P8–68 100 sin (10+ r) V(+ 2i(1) 1 ww i(t)- 10 mH 12(t) 0.04 F FIGURE P8-68 i3(1) 2
8–69 Use MATLAB and mesh-current analysis to find the phasor currents IA and IB in Figure P8–69. w 2002 j30 2 ww 20 2002 /2002 IA IB C + 24/0 V FIGURE P8-69
8–70 The OP AMP circuit in Figure P8–70 is operating in the sinusoidal steady state.(c) Design the OP AMP circuit so that the gain as ω! ∞equals 10. Then select appropriate values of R1, R2, and C so that the gain at 10 krad=s is 7.07.(d) Validate your design usingMultisim by doing an ac
8–71 The circuit in Figure P8–71 is operating in the sinusoidal steady-state.(a) If vSðtÞ = 2 cos 2128t V, find the output vOðtÞ.(b) At what frequency is the magnitude of the output voltage equal to half of the magnitude of the input voltage in the circuit of Figure P8–71? Use Multisim
8–72 Use MATLAB to find the phasor current IO in Figure P8–72. 500 D -j400 2 www IB 200 1200 A ww B 400/0 V (+ IA Ic 5/0 A -100 FIGURE P8-72
8–73 For the circuit in Figure P8–73, find the three phasor branch currents as follows:(a) Write a set of mesh-current equations. You can reduce the number of mesh equations by doing a source transformation with the current source and inductor.(b) Write the equations in standard form and
8–74 The circuit in Figure 8–73 is operating at 1000 rad=s.Simulate the circuit in Multisim and find the three branch currents i1ðtÞ, i2ðtÞ, and i3ðtÞ.
8–75 The circuit in Figure P8–75 is operating with ω = 20 krad=s.(a) Find the phasor outputs VO and IO in Figure P8–75 when μ = 50 and the phasor input is IS =1+j1 mA.(b) Use Multisim to verify your results above Is 2 A www j20kQ 120 ( ee + VX - 150 Vx - FIGURE P8-75 Vo
8–76 Find the phasor responses IIN and VO in Figure P8–76 when VS = 2 + j0V. Vs 1+ IIN 102 10 Vo 20 98 +1 FIGURE P8-76 + - - 150 Vo 50 501IN

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