Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 6, Problem 51P
To determine
Find the expression for the mutual capacitance
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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 6 Solutions
Electric Circuits. (11th Edition)
Ch. 6.1 - The current source in the circuit shown generates...Ch. 6.2 - Prob. 2APCh. 6.2 - The current in the capacitor of Assessment Problem...Ch. 6.3 - The initial values of i1 and i2 in the circuit...Ch. 6.3 - Prob. 5APCh. 6.4 - Write a set of mesh-current equations for the...Ch. 6.5 - Consider the magnetically coupled coils described...Ch. 6 - Prob. 1PCh. 6 - The voltage at the terminals of the 200 μH...Ch. 6 - The triangular current pulse shown in Fig. P6.3 is...
Ch. 6 - The current in a 200 mH inductor is
The voltage...Ch. 6 - The current in a 20 mH inductor is known to...Ch. 6 - Assume in Problem 6.5 that the value of the...Ch. 6 - Evaluate the integral
for Example 6.2. Comment on...Ch. 6 - Find the inductor current in the circuit in Fig....Ch. 6 - The current in and the voltage across a 5 H...Ch. 6 - The current in the 2.5 mH inductor in Fig. P6.11...Ch. 6 - Initially there was no energy stored in the 5 H...Ch. 6 - The voltage across a 5 μF capacitor is known to...Ch. 6 - The triangular voltage pulse shown in Fig. P6.15...Ch. 6 - The expressions for voltage, power, and energy...Ch. 6 - A 20µF capacitor is subjected to a voltage pulse...Ch. 6 - The initial voltage on the 0.5 μF capacitor shown...Ch. 6 - The current shown in Fig. P6.20 is applied to a...Ch. 6 - The rectangular-shaped current pulse shown in Fig....Ch. 6 - Use realistic inductor values from Appendix H to...Ch. 6 - For the circuit shown in Fig. P6.24, how many...Ch. 6 - The two parallel inductors in Fig. P6.26 are...Ch. 6 - Derive the equivalent circuit for a series...Ch. 6 - Derive the equivalent circuit for a parallel...Ch. 6 - Use realistic capacitor values from Appendix H to...Ch. 6 - Prob. 30PCh. 6 - The two series-connected capacitors in Fig. P6.31...Ch. 6 - The four capacitors in the circuit in Fig, P6.32...Ch. 6 - For the circuit in Fig. P6.32, calculate
the...Ch. 6 - At t = 0. a series-connected capacitor and...Ch. 6 - The current in the circuit in Fig. P6.35 is known...Ch. 6 - Show that the differential equations derived in...Ch. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Let υg represent the voltage across the current...Ch. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - The self-inductances of two magnetically coupled...Ch. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53P
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