Electrical Circuits and Modified MasteringEngineering - With Access
10th Edition
ISBN: 9780133992793
Author: NILSSON
Publisher: PEARSON
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Chapter 18, Problem 6P
To determine
Calculate the h parameters for the given two port circuit of Figure P18.6.
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Vs(t)
+ v(t)
+ vi(t)
ZR
ZL
Figure 1: Second order RLC circuit
Zc
+
ve(t)
You are requested to design the circuit shown in Figure 1. The circuit is assumed to be operating at its resonant frequency when it is fed by a
sinusoidal voltage source Vs (t) = 2sin(le6t). To help design your circuit you have been given the value of inductive reactance ZL = j1000.
Assume that the amplitude of the current at resonance is Is (t) = 2 mA. Based on this information, answer the following to help design your circuit.
Use cartesian notation for your answers, where required.
For a band-rejection filter, the response drops below this half power point at two locations as visualised in Figure 7, we need to find these
frequencies. Let's call the lower frequency-3dB point as fr and the higher frequency -3dB point fH. We can then find out the bandwidth as
f=fHfL, as illustrated in Figure 7.
0dB
Af
-3 dB
Figure 7. Band reject filter response diagram
Considering your AC simulation frequency response and referring to Figure 7, measure the following from your AC simulation. 1% accuracy:
(a) Upper-3db Frequency (fH) =
Hz
(b) Lower-3db Frequency (fL) =
Hz
(c) Bandwidth (Aƒ) =
Hz
(d) Quality Factor (Q) =
V₁(t)
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ZRI
ZLI
Z12
Zci
Zcz
Figure 4. Notch filter circuit topology
ши
Consider the second order resonant circuit shown in Figure 4. Impedances ZLIZ C1. ZL2. Z c2 combine together forming a two-stage "band-
reject" filter, so called because it rejects a "band" (aka range) of frequencies. This circuit topology is also commonly referred to as a "band-stop" filter
or "notch" filter.
The output of the DAB receiver block has been approximated via Thevenin's theorem for you as a voltage source Vs (t) and associated series
impedance Z RI
To succeed in our goal, we are going to use an iterative design approach. First we will design the interference rejector, and then repeat the process,
using the output of the interference rejector to check the provided waveform converter works as intended.
Chapter 18 Solutions
Electrical Circuits and Modified MasteringEngineering - With Access
Ch. 18.2 - Find the y parameters for the circuit in Fig....Ch. 18.2 - Prob. 2APCh. 18.2 - Prob. 3APCh. 18.2 - Prob. 4APCh. 18.2 - Prob. 5APCh. 18.3 - Prob. 6APCh. 18.4 - Each element in the symmetric bridged-tee circuit...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3P
Ch. 18 - Find the y parameters for the circuit shown in...Ch. 18 - Find the b parameters for the circuit shown in...Ch. 18 - Find the h parameters for the circuit in Fig....Ch. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Find the a parameters for the circuit in Fig....Ch. 18 - Use the results obtained in Problem 18.10 to...Ch. 18 - Prob. 12PCh. 18 - The following direct-current measurements were...Ch. 18 - Use the measurements given in Problem 18.13 to...Ch. 18 - Prob. 15PCh. 18 - Derive the expressions for the h parameters as...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Find the s-domain expressions for the y parameters...Ch. 18 - Use the defining equations to find the s-domain...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - Prob. 26PCh. 18 - Find the Thévenin equivalent circuit with respect...Ch. 18 - Prob. 28PCh. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - The y parameters for the two-port amplifier...Ch. 18 - For the terminated two-port amplifier circuit in...Ch. 18 - Prob. 33PCh. 18 - The linear transformer in the circuit shown in...Ch. 18 - The following measurements were made on a...Ch. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - The h parameters of the first two-port circuit in...Ch. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 -
Show that the circuit in Fig. P18.42 is an...Ch. 18 - Prob. 43PCh. 18 - Prob. 44PCh. 18 - Prob. 45P
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