Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 9, Problem 70P
To determine
Find the steady-state expression for
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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 9 Solutions
Electric Circuits. (11th Edition)
Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - Prob. 3APCh. 9.4 - Prob. 4APCh. 9.5 - Four branches terminate at a common node. The...Ch. 9.6 - A 20 resistor is connected in parallel with a 5...Ch. 9.6 - The interconnection described in Assessment...Ch. 9.6 - Prob. 9APCh. 9.7 - Find the steady-state expression for vo (t) in the...Ch. 9.7 - Find the Thévenin equivalent with respect to...
Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - A sinusoidal voltage is given by the...Ch. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Prob. 10PCh. 9 - Use the concept of the phasor to combine the...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - Prob. 13PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - Prob. 15PCh. 9 - A 10 Ω resistor and a 5 μF capacitor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - For 1he circuit shown in Fig. P9.27 find the...Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Find the steady-state expression for vo in the...Ch. 9 - Prob. 33PCh. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - The circuit shown in Fig. P9.36 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - The source voltage in the circuit in Fig. P9.41 is...Ch. 9 - Find Zab for the circuit shown in Fig P9.42.
Ch. 9 - Use source transformations to find the Thévenin...Ch. 9 - Use source transformations to find the Norton...Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Prob. 47PCh. 9 - Find the Norton equivalent with respect to...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Prob. 51PCh. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 and I0 in...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the branch...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - For the circuit in Fig. P9.67, suppose
What...Ch. 9 - For the circuit in Fig. P9.68, suppose
What...Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Find the steady-state expressions for the currents...Ch. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91P
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