Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 29P
Determine Ceq for each circuit in Fig. 6.61.
Figure 6.61
For Prob. 6.29.
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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)
ww
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.
1. What is the settling time for your output signal (BRF_OUT)? For this question, We define the settling time as the period of time it has taken for the output to settle into a steady state - ie when your oscillation first decays (aka reduces) to less than approximately 1/20 (5%) of the initial value.
(a) Settling time
Chapter 6 Solutions
Fundamentals of Electric Circuits
Ch. 6.2 - What is the voltage across a 4.5-F capacitor if...Ch. 6.2 - If a 10-F capacitor is connected to a voltage...Ch. 6.2 - The current through a 100-F capacitor is i(t) = 50...Ch. 6.2 - Figure 6.11 For Practice Prob. 6.4. An initially...Ch. 6.2 - Under dc conditions, find the energy stored in the...Ch. 6.3 - Find the equivalent capacitance seen at the...Ch. 6.3 - Find the voltage across each of the capacitors in...Ch. 6.4 - If the current through a 1-mH inductor is i(t) =...Ch. 6.4 - The terminal voltage of a 2-H inductor is v = 10(1...Ch. 6.4 - Determine vC, iL, and the energy stored in the...
Ch. 6.5 - Calculate the equivalent inductance for the...Ch. 6.5 - In the circuit of Fig. 6.34, i1(t) = 3e2t A. If...Ch. 6.6 - The integrator in Fig. 6.35(b) has R = 100 k, C =...Ch. 6.6 - The differentiator in Fig. 6.37 has R = 100 k and...Ch. 6.6 - Design an analog computer circuit to solve the...Ch. 6 - What charge is on a 5-F capacitor when it is...Ch. 6 - Capacitance is measured in: (a)coulombs (b)joules...Ch. 6 - When the total charge in a capacitor is doubled,...Ch. 6 - Can the voltage waveform in Fig. 6.42 be...Ch. 6 - The total capacitance of two 40-mF...Ch. 6 - In Fig. 6.43, if i = cos 4t and v = sin 4t, the...Ch. 6 - A 5-H inductor changes its current by 3 A in 0.2...Ch. 6 - If the current through a 10-mH inductor increases...Ch. 6 - Inductors in parallel can be combined just like...Ch. 6 - Prob. 10RQCh. 6 - If the voltage across a 7.5-F capacitor is 2te3t...Ch. 6 - A 50-F capacitor has energy w(t) = 10 cos2 377t J....Ch. 6 - Design a problem to help other students better...Ch. 6 - A voltage across a capacitor is equal to [2 2...Ch. 6 - The voltage across a 4-F capacitor is shown in...Ch. 6 - The voltage waveform in Fig. 6.46 is applied...Ch. 6 - At t = 0, the voltage across a 25-mF capacitor is...Ch. 6 - A 4-mF capacitor has the terminal voltage v=...Ch. 6 - The current through a 0.5-F capacitor is 6(1 et)...Ch. 6 - The voltage across a 5-mF capacitor is shown in...Ch. 6 - A 4-mF capacitor has the current waveform shown in...Ch. 6 - A voltage of 45e2000t V appears across a parallel...Ch. 6 - Find the voltage across the capacitors in the...Ch. 6 - Series-connected 20- and 60-pF capacitors are...Ch. 6 - Two capacitors (25 and 75 F) are connected to a...Ch. 6 - The equivalent capacitance at terminals a-b in the...Ch. 6 - Determine the equivalent capacitance for each of...Ch. 6 - Find Ceq in the circuit of Fig. 6.52 if all...Ch. 6 - Find the equivalent capacitance between terminals...Ch. 6 - Find the equivalent capacitance at terminals a-b...Ch. 6 - Determine the equivalent capacitance at terminals...Ch. 6 - Obtain the equivalent capacitance of the circuit...Ch. 6 - Using Fig. 6.57, design a problem that will help...Ch. 6 - In the circuit shown in Fig. 6.58 assume that the...Ch. 6 - (a)Show that the voltage-division rule for two...Ch. 6 - Three capacitors, C1 = 5 F, C2 = 10 F, and C3 = 20...Ch. 6 - Given that four 10-F capacitors can be connected...Ch. 6 - Obtain the equivalent capacitance of the network...Ch. 6 - Determine Ceq for each circuit in Fig. 6.61....Ch. 6 - Assuming that the capacitors are initially...Ch. 6 - If v(0) = 0, find v(t), i1(t), and i2(t) in the...Ch. 6 - In the circuit in Fig. 6.64, let is = 4.5e2t mA...Ch. 6 - Obtain the Thevenin equivalent at the terminals,...Ch. 6 - The current through a 25-mH inductor is 10et/2 A....Ch. 6 - An inductor has a linear change in current from...Ch. 6 - Design a problem to help other students better...Ch. 6 - The current through a 12-mH inductor is 4 sin 100t...Ch. 6 - The current through a 40-mH inductor is i(t)= 0,...Ch. 6 - The voltage across a 50-mH inductor is given by...Ch. 6 - The current through a 5-mH inductor is shown in...Ch. 6 - The voltage across a 2-H inductor is 20(1 e2t) V....Ch. 6 - If the voltage waveform in Fig. 6.67 is applied...Ch. 6 - The current in a 150-mH inductor increases from 0...Ch. 6 - A 100-mH inductor is connected in parallel with a...Ch. 6 - If the voltage waveform in Fig. 6.68 is applied to...Ch. 6 - Find vC, iL, and the energy stored in the...Ch. 6 - For the circuit in Fig. 6.70, calculate the value...Ch. 6 - Under steady-state dc conditions, find i and v in...Ch. 6 - Find the equivalent inductance of the circuit in...Ch. 6 - An energy-storage network consists of...Ch. 6 - Determine Leq at terminals a-b of the circuit in...Ch. 6 - Using Fig. 6.74, design a problem to help other...Ch. 6 - Find Leq at the terminals of the circuit in Fig....Ch. 6 - Find the equivalent inductance looking into the...Ch. 6 - Find Leq in each of the circuits in Fig. 6.77....Ch. 6 - Find Leq in the circuit of Fig. 6.78. Figure 6.78...Ch. 6 - Determine Leq that may be used to represent the...Ch. 6 - The current waveform in Fig. 6.80 flows through a...Ch. 6 - (a) For two inductors in series as in Fig....Ch. 6 - In the circuit of Fig. 6.82, io(0) = 2 A....Ch. 6 - Consider the circuit in Fig. 6.83. Find: (a) Leq,...Ch. 6 - Consider the circuit in Fig. 6.84. Given that v(t)...Ch. 6 - In the circuit of Fig. 6.85, sketch vo. Figure...Ch. 6 - The switch in Fig. 6.86 has been in position A for...Ch. 6 - The inductors in Fig. 6.87 are initially charged...Ch. 6 - The current i(t) through a 20-mH inductor is...Ch. 6 - An op amp integrator has R = 50 k and C = 0.04 F....Ch. 6 - A 6-V dc voltage is applied to an integrator with...Ch. 6 - An op amp integrator with R = 4 M and C = 1 F has...Ch. 6 - Using a single op amp, a capacitor, and resistors...Ch. 6 - Show how you would use a single op amp to generate...Ch. 6 - At t = 1.5 ms, calculate vo due to the cascaded...Ch. 6 - Show that the circuit in Fig. 6.90 is a...Ch. 6 - The triangular waveform in Fig. 6.91(a) is applied...Ch. 6 - An op amp differentiator has R = 250 k and C = 10...Ch. 6 - A voltage waveform has the following...Ch. 6 - The output vo of the op amp circuit in Fig....Ch. 6 - Prob. 78PCh. 6 - Figure 6.93 presents an analog computer designed...Ch. 6 - Design an analog computer to simulate the...Ch. 6 - Design an op amp circuit such that vo=10vs+2vsdt...Ch. 6 - Your laboratory has available a large number of...Ch. 6 - An 8-mH inductor is used in a fusion power...Ch. 6 - A square-wave generator produces the voltage...Ch. 6 - An electric motor can be modeled as a series...
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