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 76P
For the following pairs of signals, determine if v1 leads or lags v2 and by how much.
- (a) v1 = 10 cos(5t − 20°), v2 = 8 sin 5t
- (b) v1 = 19 cos(2t + 90°), v2 = 6 sin 2t
- (c) v1 = −4 cos 10t, v2 = 15 sin 10t
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Convert the following phasors into sinusoidal waveforms
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A certain voltage function contains a constant term, a fundamental and third harmonic. The
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E. NOTA
Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz.
resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads.
Vps
R
ww
Write the FORMULA for the total impedance of the circuit Ztot =
Write the FORMULA for the phase of the total impedance of the circuit tot =
Determine the numerical value of Ztot =
Determine the numerical value of Pztot=
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• I(PEAK) =
• I(RMS) =
Determine the voltage across the resistor:
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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. 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