
EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119228226
Author: Toussaint
Publisher: YUZU
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12.38 If the circuit shown in Fig. P12.38(a) is excited by the
current waveform is(t) shown in Fig. P12.38(b), determine i(t)
for 1 > 0, given that R₁ = 102, R2 = 5 92, and C = 0.02 F.
is(t)
R₁
i(t)
R₂
is(t)
1.5 A
1.5A |
1 A
0.5 A-
M
0.5A-
(a) Circuit
www.
(b) Waveform
0 = 4 rad/s
t
Figure P12.38 Circuit for Problems 12.38 to 12.40.
EXERCISE 1: Consider the waveguide of Example
Calculate the phase
constant, phase velocity and wave impedance for TE10 and TM11 modes at the
operating frequency of 15 GHz.
=
192.4 . For
Answer: For TE10, B = 615.6 rad/m, u = 1.531 × 108 m/s, TE
529.4 rad/m, u = 1.78 x 10 m/s, TM = 158.8 Q.
TM11, B
Example 1: A rectangular waveguide with dimensions a = 2.5 cm, b = 1 cm is to
operate below 15.1 GHz. How many TE and TM modes can the waveguide
transmit? if the guide is filled with a medium characterized by
σ = 0, &=4&o Hr = 1°
Calculate the cutoff frequencies of the modes.
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X= x+jB
α= 0 B=w/ME
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B = w√ Me [√ 1+ (e) + 1]
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E=Eme Cos/wt-Bz) az
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X = B = √TPMN
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E=Eml Gos(wt-Bz) az
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