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 10, Problem 13P
Determine Vx in the circuit of Fig. 10.62 using any method of your choice.
Figure 10.62
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A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at
the z=0 plane as below. Both mediums are general, characterized by ( ε i, Mi, Ơi ).
tot
=
[ ει μη σ]
[ε, μη σε ]
Ex
Ex
tot
E₁₂ (z) = Ee
Ex
z=0
From conservation of energy: P₁AV'(z=0) + Piav'(z=0) = P2av²(z=0).
Using the above show for lossless media that: ( 1 - ||²) = (1/M2 )|T|² .
A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at
the z=0 plane as below. Both mediums are general, characterized by ( ε i, Hi, σ¡ ).
[ ει μη σ]
Ex
[ ει μη ση ]
Ex
tot
E₁₂ (z) = E'₁e¹²
-122
E(z) = Ee+ E₁₁₁²
E₁x
z=0
1. Specify the electric field reflection coefficient г and transmission coefficient T:
E
ΓΔ
E
E
TA
EL
2. Show that T=1+г. Can the transmitted electric field amplitude in region 2 be LARGER than the
incident electric field amplitude?
3. Determine expressions for P₁AV'(z), PIAV'(z) and P2AV'(z) (note the sign for the reflected power
direction should be (-z).
Chapter 10 Solutions
Fundamentals of Electric Circuits
Ch. 10.2 - Using nodal analysis, find v1 and v2 is in the...Ch. 10.2 - Calculate V1 and V2 in the circuit shown in Fig....Ch. 10.3 - Find Io in Fig. 10.8 using mesh analysis. Figure...Ch. 10.3 - Figure 10.11 For Practice Prob. 10.4. Calculate...Ch. 10.4 - Find current Io in the circuit of Fig. 10.8 using...Ch. 10.4 - Calculate vo in the circuit of Fig. 10.15 using...Ch. 10.6 - Determine the Norton equivalent of the circuit in...Ch. 10.7 - Find vo and io in the op amp circuit of Fig....Ch. 10.7 - Obtain the closed-loop gain and phase shift for...Ch. 10.8 - Use PSpice to obtain vo and io in the circuit of...
Ch. 10.8 - Obtain Vx and Ix in the circuit depicted in Fig....Ch. 10.9 - Determine the equivalent capacitance of the op amp...Ch. 10.9 - In the Wien-bridge oscillator circuit in Fig....Ch. 10 - The voltage Vo across the capacitor in Fig. 10.43...Ch. 10 - The value of the current Io in the circuit of Fig....Ch. 10 - Using nodal analysis, the value of Vo in the...Ch. 10 - In the circuit of Fig. 10.46, current i(t) is: (a)...Ch. 10 - Refer to the circuit in Fig. 10.47 and observe...Ch. 10 - For the circuit in Fig. 10.48, the Thevenin...Ch. 10 - In the circuit of Fig. 10.48, the Thevenin voltage...Ch. 10 - Refer to the circuit in Fig. 10.49. The Norton...Ch. 10 - Figure 10.49 For Review Questions 10.8 and 10.9....Ch. 10 - PSpice can handle a circuit with two independent...Ch. 10 - Determine i in the circuit of Fig. 10.50. Figure...Ch. 10 - Using Fig. 10.51, design a problem to help other...Ch. 10 - Determine vo in the circuit of Fig. 10.52. Figure...Ch. 10 - Compute vo(t) in the circuit of Fig. 10.53. Figure...Ch. 10 - Find io in the circuit of Fig. 10.54.Ch. 10 - Determine Vx in Fig. 10.55. Figure 10.55 For Prob....Ch. 10 - Use nodal analysis to find V in the circuit of...Ch. 10 - Use nodal analysis to find current io in the...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Using nodal analysis, find io(t) in the circuit in...Ch. 10 - Using Fig. 10.61, design a problem to help other...Ch. 10 - Determine Vx in the circuit of Fig. 10.62 using...Ch. 10 - Calculate the voltage at nodes 1 and 2 in the...Ch. 10 - Solve for the current I in the circuit of Fig....Ch. 10 - Use nodal analysis to find Vx in the circuit shown...Ch. 10 - By nodal analysis, obtain current Io in the...Ch. 10 - Use nodal analysis to obtain Vo in the circuit of...Ch. 10 - Obtain Vo in Fig. 10.68 using nodal analysis.Ch. 10 - Refer to Fig. 10.69. If vs (t) = Vm sin t and vo...Ch. 10 - For each of the circuits in Fig. 10.70, find Vo/Vi...Ch. 10 - For the circuit in Fig. 10.71, determine Vo/Vs....Ch. 10 - Using nodal analysis obtain V in the circuit of...Ch. 10 - Design a problem to help other students better...Ch. 10 - Solve for io in Fig. 10.73 using mesh analysis....Ch. 10 - Use mesh analysis to find current io in the...Ch. 10 - Using mesh analysis, find I1 and I2 in the circuit...Ch. 10 - In the circuit of Fig. 10.76, determine the mesh...Ch. 10 - Using Fig. 10.77, design a problem help other...Ch. 10 - Use mesh analysis to find vo in the circuit of...Ch. 10 - Use mesh analysis to determine current Io in the...Ch. 10 - Determine Vo and Io in the circuit of Fig. 10.80...Ch. 10 - Compute I in Prob. 10.15 using mesh analysis....Ch. 10 - Use mesh analysis to find Io in Fig. 10.28 (for...Ch. 10 - Calculate Io in Fig. 10.30 (for Practice Prob....Ch. 10 - Compute Vo in the circuit of Fig. 10.81 using mesh...Ch. 10 - Use mesh analysis to find currents I1, I2, and I3...Ch. 10 - Using mesh analysis, obtain Io in the circuit...Ch. 10 - Find I1, I2, I3, and Ix in the circuit of Fig....Ch. 10 - Find io in the circuit shown in Fig. 10.85 using...Ch. 10 - Find vo for the circuit in Fig. 10.86, assuming...Ch. 10 - Using Fig. 10.87, design a problem to help other...Ch. 10 - Using the superposition principle, find ix in the...Ch. 10 - Use the superposition principle to obtain vx in...Ch. 10 - Use superposition to find i(t) in the circuit of...Ch. 10 - Solve for vo(t) in the circuit of Fig. 10.91 using...Ch. 10 - Determine io in the circuit of Fig. 10.92, using...Ch. 10 - Find io in the circuit of Fig. 10.93 using...Ch. 10 - Using source transformation, find i in the circuit...Ch. 10 - Using Fig. 10.95, design a problem to help other...Ch. 10 - Use source transformation to find Io in the...Ch. 10 - Use the concept of source transformation to find...Ch. 10 - Rework Prob. 10.7 using source transformation. Use...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - For each of the circuits in Fig. 10.99, obtain...Ch. 10 - Using Fig. 10.100, design a problem to help other...Ch. 10 - For the circuit depicted in Fig. 10.101, find the...Ch. 10 - Calculate the output impedance of the circuit...Ch. 10 - Find the Thevenin equivalent of the circuit in...Ch. 10 - Using Thevenins theorem, find vo in the circuit of...Ch. 10 - Obtain the Norton equivalent of the circuit...Ch. 10 - For the circuit shown in Fig. 10.107, find the...Ch. 10 - Using Fig. 10.108, design a problem to help other...Ch. 10 - At terminals a-b, obtain Thevenin and Norton...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - Find the Thevenin equivalent at terminals ab in...Ch. 10 - For the integrator shown in Fig. 10.112, obtain...Ch. 10 - Using Fig. 10.113, design a problem to help other...Ch. 10 - Find vo in the op amp circuit of Fig. 10.114....Ch. 10 - Compute io(t) in the op amp circuit in Fig. 10.115...Ch. 10 - If the input impedance is defined as Zin = Vs/Is,...Ch. 10 - Evaluate the voltage gain Av = Vo/Vs in the op amp...Ch. 10 - In the op amp circuit of Fig. 10.118, find the...Ch. 10 - Determine Vo and Io in the op amp circuit of Fig....Ch. 10 - Compute the closed-loop gain Vo/Vs for the op amp...Ch. 10 - Determine vo(t) in the op amp circuit in Fig....Ch. 10 - For the op amp circuit in Fig. 10.122, obtain Vo....Ch. 10 - Obtain vo(t) for the op amp circuit in Fig. 10.123...Ch. 10 - Use PSpice or MultiSim to determine Vo in the...Ch. 10 - Solve Prob. 10.19 using PSpice or MultiSim. Obtain...Ch. 10 - Use PSpice or MultiSim to find vo(t) in the...Ch. 10 - Obtain Vo in the circuit of Fig. 10.126 using...Ch. 10 - Using Fig. 10.127, design a problem to help other...Ch. 10 - Use PSpice or MultiSim to find V1, V2, and V3 in...Ch. 10 - Determine V1, V2, and V3 in the circuit of Fig....Ch. 10 - Use PSpice or MultiSim to find vo and io in the...Ch. 10 - The op amp circuit in Fig. 10.131 is called an...Ch. 10 - Figure 10.132 shows a Wien-bridge network. Show...Ch. 10 - Consider the oscillator in Fig. 10.133. (a)...Ch. 10 - The oscillator circuit in Fig. 10.134 uses an...Ch. 10 - Figure 10.135 shows a Colpitts oscillator. Show...Ch. 10 - Design a Colpitts oscillator that will operate at...Ch. 10 - Figure 10.136 shows a Hartley oscillator. Show...Ch. 10 - Refer to the oscillator in Fig. 10.137. (a) Show...
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