EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
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Textbook Question
Chapter 4, Problem 20P
Use source transformation to reduce the circuit between terminals a and b shown in Fig. 4.88 to a single voltage source in series with a single resistor.
Figure 4.88
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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 4 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
Ch. 4.2 - Figure 4.3 For Practice Prob. 4.1. For the circuit...Ch. 4.2 - Figure 4.5 For Practice Prob. 4.2. Assume that Vo...Ch. 4.3 - Figure 4.8 Using the superposition theorem, find...Ch. 4.3 - Figure 4.11 Use superposition to find vx in the...Ch. 4.3 - Find I in the circuit of Fig. 4.14 using the...Ch. 4.4 - Find io in the circuit of Fig. 4.19 using source...Ch. 4.4 - Use source transformation to find ix in the...Ch. 4.5 - Using Thevenins theorem, find the equivalent...Ch. 4.5 - Find the Thevenin equivalent circuit of the...Ch. 4.5 - Obtain the Thevenin equivalent of the circuit in...
Ch. 4.6 - Find the Norton equivalent circuit for the circuit...Ch. 4.6 - Find the Norton equivalent circuit of the circuit...Ch. 4.8 - Determine the value of RL that will draw the...Ch. 4.9 - Rework Practice Prob. 4.9 using PSpice. Find the...Ch. 4.9 - Fin d the maximum power transferred to RL if the...Ch. 4.10 - The measured open-circuit voltage across a certain...Ch. 4.10 - Prob. 17PPCh. 4.10 - Obtain the current through the galvanometer,...Ch. 4 - The current through a branch in a linear network...Ch. 4 - For superposition, it is not required that only...Ch. 4 - The superposition principle applies to power...Ch. 4 - Refer to Fig. 4.67. The Thevenin resistance at...Ch. 4 - The Thevenin voltage across terminals a and b of...Ch. 4 - The Norton current at terminals a and b of the...Ch. 4 - The Norton resistance RN is exactly equal to the...Ch. 4 - Which pair of circuits in Fig. 4.68 are...Ch. 4 - A load is connected to a network. At the terminals...Ch. 4 - The source is supplying the maximum power to the...Ch. 4 - Calculate the current io in the circuit of Fig....Ch. 4 - Using Fig. 4.70, design a problem to help other...Ch. 4 - (a) In the circuit of Fig. 4.71, calculate vo and...Ch. 4 - Use linearity to determine io in the circuit of...Ch. 4 - For the circuit in Fig. 4.73, assume vo = 1 V, and...Ch. 4 - For the linear circuit shown in Fig. 4.74, use...Ch. 4 - Use linearity and the assumption that Vo = 1 V to...Ch. 4 - Using superposition, find Vo in the circuit of...Ch. 4 - Given that I = 6 amps when Vs = 160 volts and Is =...Ch. 4 - Using Fig. 4.78, design a problem to help other...Ch. 4 - Use the superposition principle to find io and vo...Ch. 4 - Determine vo in the circuit of Fig. 4.80 using the...Ch. 4 - Use superposition to find vo in the circuit of...Ch. 4 - Apply the superposition principle to find vo in...Ch. 4 - For the circuit in Fig. 4.83, use superposition to...Ch. 4 - Given the circuit in Fig. 4.84, use superposition...Ch. 4 - Use superposition to obtain vx in the circuit of...Ch. 4 - Use superposition to find Vo in the circuit of...Ch. 4 - Use superposition to solve for vx in the circuit...Ch. 4 - Use source transformation to reduce the circuit...Ch. 4 - Using Fig. 4.89, design a problem to help other...Ch. 4 - For the circuit in Fig, 4.90, use source...Ch. 4 - Referring to Fig. 4.91, use source transformation...Ch. 4 - Use source transformation to find the voltage Vx...Ch. 4 - Obtain vo in the circuit of Fig. 4.93 using source...Ch. 4 - Use source transformation to find io in the...Ch. 4 - Apply source transformation to find vx in the...Ch. 4 - Use source transformation to find Io in Fig. 4.96....Ch. 4 - Use source transformation to find vo in the...Ch. 4 - Use source transformation on the circuit shown in...Ch. 4 - Determine vx in the circuit of Fig. 4.99 using...Ch. 4 - Use source transformation to find ix in the...Ch. 4 - Determine the Thevenin equivalent circuit, shown...Ch. 4 - Using Fig. 4.102, design a problem that will help...Ch. 4 - Use Thevenins theorem to find vo in Prob. 4.12....Ch. 4 - Solve for the current i in the circuit of Fig....Ch. 4 - Find the Norton equivalent with respect to...Ch. 4 - Apply Thevenins theorem to find Vo in the circuit...Ch. 4 - Obtain the Thevenin equivalent at terminals a-b of...Ch. 4 - Find the Thevenin equivalent at terminals a-b of...Ch. 4 - Find the Thevenin and Norton equivalents at...Ch. 4 - For the circuit in Fig. 4.109, find the Thevenin...Ch. 4 - Find the Thevenin equivalent looking into...Ch. 4 - For the circuit in Fig. 4.111, obtain the Thevenin...Ch. 4 - Find the Thevenin equivalent of the circuit in...Ch. 4 - Using Fig. 4.113, design a problem to help other...Ch. 4 - Obtain the Thevenin and Norton equivalent circuits...Ch. 4 - Determine the Norton equivalent at terminals a-b...Ch. 4 - Find the Norton equivalent looking into terminals...Ch. 4 - Obtain the Norton equivalent of the circuit in...Ch. 4 - Given the circuit in Fig. 4.117, obtain the Norton...Ch. 4 - For the transistor model in Fig. 4.118, obtain the...Ch. 4 - Find the Norton equivalent at terminals a-b of the...Ch. 4 - Find the Thevenin equivalent between terminals a-b...Ch. 4 - Obtain the Norton equivalent at terminals a-b of...Ch. 4 - Use Nortons theorem to find Vo in the circuit of...Ch. 4 - Obtain the Thevenin and Norton equivalent circuits...Ch. 4 - The network in Fig. 4.124 models a bipolar...Ch. 4 - Determine the Thevenin and Norton equivalents at...Ch. 4 - For the circuit in Fig. 4.126, find the Thevenin...Ch. 4 - Obtain the Thevenin and Norton equivalent circuits...Ch. 4 - Find the Thevenin equivalent of the circuit in...Ch. 4 - Find the Norton equivalent for the circuit in Fig....Ch. 4 - Obtain the Thevenin equivalent seen at terminals...Ch. 4 - For the circuit shown in Fig. 4.131, determine the...Ch. 4 - Find the maximum power that can be delivered to...Ch. 4 - The variable resistor R in Fig. 4.133 is adjusted...Ch. 4 - Consider the 30- resistor in Fig. 4.134. First...Ch. 4 - Find the maximum power transferred to resistor R...Ch. 4 - Determine the maximum power delivered to the...Ch. 4 - For the circuit in Fig. 4.137, what resistor...Ch. 4 - (a) For the circuit in Fig. 4.138, obtain the...Ch. 4 - Determine the maximum power that can be delivered...Ch. 4 - For the bridge circuit shown in Fig. 4.140, find...Ch. 4 - For the circuit in Fig. 4.141, determine the value...Ch. 4 - Solve Prob. 4.34 using PSpice or MultiSim. Let V =...Ch. 4 - Use PSpice or MultiSim to solve Prob. 4.44. For...Ch. 4 - Use PSpice or MultiSim to solve Prob. 4.52.Ch. 4 - Obtain the Thevenin equivalent of the circuit in...Ch. 4 - Use PSpice or MultiSim to find the Thevenin...Ch. 4 - For the circuit in Fig. 4.126, use PSpice or...Ch. 4 - An automobile battery has an open circuit voltage...Ch. 4 - The following results were obtained from...Ch. 4 - When connected to a 4- resistor, a battery has a...Ch. 4 - The Thevenin equivalent at terminals a-b of the...Ch. 4 - A black box with a circuit in it is connected to a...Ch. 4 - A transducer is modeled with a current source Is...Ch. 4 - Consider the circuit in Fig. 4.144. An ammeter...Ch. 4 - Consider the circuit in Fig. 4.145. (a) Replace...Ch. 4 - The Wheatstone bridge circuit shown in Fig. 4.146...Ch. 4 - (a) In the Wheatstone bridge circuit of Fig. 4.147...Ch. 4 - Consider the bridge circuit of Fig. 4.148. Is the...Ch. 4 - The circuit in Fig. 4.149 models a common-emitter...Ch. 4 - An attenuator is an interface circuit that reduces...Ch. 4 - A dc voltmeter with a sensitivity of 10 k/V is...Ch. 4 - A resistance array is connected to a load resistor...Ch. 4 - A common-emitter amplifier circuit is shown in...Ch. 4 - For Practice Prob. 4.18, determine the current...
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