Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9, Problem 44P
Calculate i(t) in the circuit of Fig. 9.51.
Figure 9.51
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Find in the v(t) RLC circuit of Fig. 9.48.
Find V using mesh analysis.
Ans. 9.756 < 222.32°V (For verifying your solution)
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Chapter 9 Solutions
Fundamentals of Electric Circuits
Ch. 9.2 - Practice Problem 9.1 Given the sinusoid 45 cos(5t...Ch. 9.2 - Practice Problem 9.2 Find the phase angle between...Ch. 9.3 - Prob. 3PPCh. 9.3 - Express these sinusoids as phasors: (a)...Ch. 9.3 - Find the sinusoids corresponding to these phasors:...Ch. 9.3 - If v1=10sint30V and v2=20cost+45V, find v=v1+v2.Ch. 9.3 - Prob. 7PPCh. 9.4 - If voltage v=25sin100t15V is applied to a 50F...Ch. 9.5 - Refer to Fig. 9.17. Determine v(t) and i(t).Ch. 9.7 - Determine the input impedance of the circuit in...
Ch. 9.7 - Calculate vo in the circuit of Fig. 9.27. Figure...Ch. 9.7 - Find I in the circuit of Fig. 9.30. Figure 9.30Ch. 9.8 - Design an RC circuit to provide a 90 lagging phase...Ch. 9.8 - Refer to the RL circuit in Fig. 9.36. If 10 V is...Ch. 9.8 - In the ac bridge circuit of Fig. 9.37, suppose...Ch. 9 - Which of the following is not a right way to...Ch. 9 - A function that repeats itself after fixed...Ch. 9 - Which of these frequencies has the shorter period?...Ch. 9 - If v1 = 30 sin(t + 10) and v2 = 20 sin(t + 50),...Ch. 9 - The voltage across an inductor leads the current...Ch. 9 - The imaginary part of impedance is called:...Ch. 9 - The impedance of a capacitor increases with...Ch. 9 - At what frequency will the output voltage v0(t) in...Ch. 9 - A series RC circuit has VR = 12 V and VC = 5 V....Ch. 9 - A series RCL circuit has R = 30 , XC = 50 , and XL...Ch. 9 - Given the sinusoidal voltage v(t) = 50 cos (30t +...Ch. 9 - A current source in a linear circuit has...Ch. 9 - Express the following functions in cosine form:...Ch. 9 - Design a problem to help other students better...Ch. 9 - Given v1=45sint+30V and v2=50cost30V, determine...Ch. 9 - For the following pairs of sinusoids, determine...Ch. 9 - If f() = cos + j sin , show that f() = ej.Ch. 9 - Calculate these complex numbers and express your...Ch. 9 - Evaluate the following complex numbers and leave...Ch. 9 - Design a problem to help other students better...Ch. 9 - Find the phasors corresponding to the following...Ch. 9 - Let X=440 and Y=2030. Evaluate the following...Ch. 9 - Evaluate the following complex numbers: (a)...Ch. 9 - Simplify the following expression: (a)...Ch. 9 - Evaluate these determinants: (a) 10+j62j351+j (b)...Ch. 9 - Prob. 16PCh. 9 - Two voltages v1 and v2 appear in series so that...Ch. 9 - Obtain the sinusoids corresponding to each of the...Ch. 9 - Using phasors, find: (a) 3cos20t+105cos20t30 (b)...Ch. 9 - A linear network has a current input 7.5cos10t+30A...Ch. 9 - Simplify the following: (a) ft=5cos2t+154sin2t30...Ch. 9 - An alternating voltage is given by v(t) = 55...Ch. 9 - Apply phasor analysis to evaluate the following:...Ch. 9 - Find v(t) in the following integrodifferential...Ch. 9 - Using phasors, determine i(t) in the following...Ch. 9 - Prob. 26PCh. 9 - A parallel RLC circuit has the node equation...Ch. 9 - Determine the current that flows through an 20-...Ch. 9 - Given that vc(0) = 2 cos(155) V, what is the...Ch. 9 - A voltage v(t) = 100 cos(60t + 20) V is applied to...Ch. 9 - A series RLC circuit has R = 80 , L = 240 mH, and...Ch. 9 - Using Fig. 9.40, design a problem to help other...Ch. 9 - A series RL circuit is connected to a 220-V ac...Ch. 9 - What value of will cause the forced response, vo...Ch. 9 - Find the steady-state current i in the circuit of...Ch. 9 - Using Fig. 9.43, design a problem to help other...Ch. 9 - Determine the admittance Y for the circuit in Fig....Ch. 9 - Using Fig. 9.45, design a problem to help other...Ch. 9 - For the circuit shown in Fig. 9.46, find Zeq and...Ch. 9 - In the circuit of Fig. 9.47, find io when: (a) =...Ch. 9 - Find v(t) in the RLC circuit of Fig. 9.48. Figure...Ch. 9 - Calculate vo(t) in the circuit of Fig. 9.49....Ch. 9 - Find current Io in the circuit shown in Fig. 9.50....Ch. 9 - Calculate i(t) in the circuit of Fig. 9.51. Figure...Ch. 9 - Find current Io in the network of Fig. 9.52....Ch. 9 - If vs = 100 sin(10t + 18) V in the circuit of Fig....Ch. 9 - In the circuit of Fig. 9.54, determine the value...Ch. 9 - Given that vs(t) = 20 sin (100t 40) in Fig. 9.55,...Ch. 9 - Find vs (t) in the circuit of Fig. 9.56 if the...Ch. 9 - Determine vx in the circuit of Fig. 9.57. Let...Ch. 9 - If the voltage vo across the 2- resistor in the...Ch. 9 - If V in the circuit of Fig. 9.59, find Is. Figure...Ch. 9 - Find Io in the circuit of Fig. 9.60.Ch. 9 - In the circuit of Fig. 9.61, Find Vs if Io=300A.Ch. 9 - Find Z in the network of Fig. 9.62, given that...Ch. 9 - At = 377 rad/s, find the input impedance of the...Ch. 9 - At = 1 rad/s, obtain the input admittance in the...Ch. 9 - Using Fig. 9.65, design a problem to help other...Ch. 9 - For the network in Fig. 9.66, find Zin. Let = 100...Ch. 9 - Obtain Zin for the circuit in Fig. 9.67. Figure...Ch. 9 - Find Zeq in the circuit in Fig. 9.68. Figure 9.68Ch. 9 - For the circuit in Fig. 9.69, find the input...Ch. 9 - For the circuit in Fig. 9.70, find the value of...Ch. 9 - Find ZT and Vo in the circuit in Fig. 9.71. Let...Ch. 9 - Determine ZT and I for the circuit in Fig. 9.72....Ch. 9 - For the circuit in Fig. 9.73, calculate ZT and...Ch. 9 - At = 103 rad/s, find the input admittance of each...Ch. 9 - Determine Yeq for the circuit in Fig. 9.75. Figure...Ch. 9 - Find the equivalent admittance Yeq of the circuit...Ch. 9 - Find the equivalent impedance of the circuit in...Ch. 9 - Obtain the equivalent impedance of the circuit in...Ch. 9 - Calculate the value of Zab in the network of Fig....Ch. 9 - Determine the equivalent impedance of the circuit...Ch. 9 - Design an RL circuit to provide a 90 leading phase...Ch. 9 - Design a circuit that will transform a sinusoidal...Ch. 9 - For the following pairs of signals, determine if...Ch. 9 - Refer to the RC circuit in Fig. 9.81. (a)...Ch. 9 - A coil with impedance 8 + j6 is connected in...Ch. 9 - (a) Calculate the phase shift of the circuit in...Ch. 9 - Consider the phase-shifting circuit in Fig. 9.83....Ch. 9 - The ac bridge in Fig. 9.37 is balanced when R1 =...Ch. 9 - A capacitance bridge balances when R1 = 100 , R2 =...Ch. 9 - An inductive bridge balances when R1 = 1.2 k, R2 =...Ch. 9 - The ac bridge shown in Fig. 9.84 is known as a...Ch. 9 - The ac bridge circuit of Fig. 9.85 is called a...Ch. 9 - The circuit shown in Fig. 9.86 is used in a...Ch. 9 - The network in Fig. 9.87 is part of the schematic...Ch. 9 - A series audio circuit is shown in Fig. 9.88. (a)...Ch. 9 - An industrial load is modeled as a series...Ch. 9 - An industrial coil is modeled as a series...Ch. 9 - Figure 9.91 shows a series combination of an...Ch. 9 - A transmission line has a series impedance of and...Ch. 9 - A power transmission system is modeled as shown in...
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- Tutorial exercise Jimmy the Circuit Builder is at it again and this time he is using AC. He has all of the linear components in pairs: two AC voltage sources, two AC current sources, two resistors, two capacitors and two inductors. He is trying to build circuits to create certain voltages and currents. All of the sources operate at w=500 rad/s. 940° V 2 <90° A - 12<60° V 1-30° A (c) V=6490° V (d) I=64150° A (e) I = 0.6 +j1.04 (f) V=18.25434.7° V + (a) Draw the circuit. (b) Calculate the voltage across each component. 100μF TE 1mF 46 392 -M 1mH hint: try combining the two sources 10mH Jimmy first builds one circuit to check his understanding of AC voltage, current and power. The circuit is a series connection of the 12 <60° V voltage source, the 3 resistor, the 10 mH inductor, and the 1mF capacitor. 1092 M Using only two elements, connect the pair of elements to create the following AC voltage and currents: Using exactly three elements, draw circuits to create the following AC voltage…arrow_forwardUse phasor approach to determine the current i(t) in a circuit describe by the integrodifferential equation below di 5+ 3i(t) +7 i dt i dt = 20 sin(4t + 80°) dtarrow_forwardFor the circuit in Fig. 9.70, find the value of Z r.. 8Ω -j12Ω -j16 Ω • ZT 20 Ω j15 Ω mon Μ 10 Ω -j16 Ω www www - 10 Ω 10Ωarrow_forward
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