EBK ELECTRIC CIRCUITS
11th Edition
ISBN: 9780134747224
Author: Riedel
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 13, Problem 36P
(a)
To determine
Find the s-domain expression of
(b)
To determine
Find the time domain expression of
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Please show all steps
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 13 Solutions
EBK ELECTRIC CIRCUITS
Ch. 13.2 - The parallel circuit in Example 13.1 is placed in...Ch. 13.3 - Prob. 2APCh. 13.3 - The energy stored in the circuit shown is zero at...Ch. 13.3 - The dc current and dc voltage sources are applied...Ch. 13.3 - Prob. 6APCh. 13.3 - Using the results from Example 13.7 for the...Ch. 13.3 - The energy stored in the circuit shown is zero at...Ch. 13.4 -
Derive the numerical expression for the transfer...Ch. 13.5 - Find (a) the unit step and (b) the unit impulse...Ch. 13.5 - The unit impulse response of a circuit is
υo(t) =...
Ch. 13.7 - The current source in the circuit shown is...Ch. 13.7 - For the circuit shown, find the steady-state...Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - An 2 kΩ resistor, a 6.25 H inductor, and a 250 nF...Ch. 13 - A 250 Ω resistor is in series with an 80 mH...Ch. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Prob. 9PCh. 13 - The switch in the circuit in Fig. P13.10 has been...Ch. 13 - Find Vo and υo in the circuit shown in Fig. P13.11...Ch. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Find the time-domain expression for the current in...Ch. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - The make-before-break switch in the circuit in...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 21PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - There is no energy stored in the capacitance in...Ch. 13 - The switch in the circuit seen in Fig. P13.32 has...Ch. 13 - Prob. 33PCh. 13 - Prob. 35PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - The op amp in the circuit shown in Fig. P13.46 is...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Find the transfer function H(s) − Vo/Vi for the...Ch. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - The operational amplifier in the circuit in Fig....Ch. 13 - Prob. 56PCh. 13 - The operational amplifier in the circuit in Fig....Ch. 13 - Find the transfer function Io/Ig as a function of...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 66PCh. 13 - Prob. 69PCh. 13 - The input voltage in the circuit seen in Fig....Ch. 13 - Find the impulse response of the circuit shown in...Ch. 13 - Assume the voltage impulse response of a circuit...Ch. 13 - Prob. 75PCh. 13 - Prob. 76PCh. 13 - Prob. 77PCh. 13 - The transfer function for a linear time-invariant...Ch. 13 - The transfer function for a linear time-invariant...Ch. 13 - Prob. 80PCh. 13 - The op amp in the circuit seen in Fig. P13.81 is...Ch. 13 - Prob. 82PCh. 13 - Prob. 83PCh. 13 - Prob. 84PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 86PCh. 13 - Prob. 87PCh. 13 - Prob. 89PCh. 13 - Prob. 90PCh. 13 - The switch in the circuit in Fig P13.91 has been...Ch. 13 - The parallel combination of R2 and C2 in the...Ch. 13 - Show that if R1C1 = R2C2 in the circuit shown in...
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