Laboratory Manual for Introductory Circuit Analysis
13th Edition
ISBN: 9780133923780
Author: Robert L. Boylestad, Gabriel Kousourou
Publisher: PEARSON
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Chapter 1, Problem 52P
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V₁(t)
ww
ZRI
ZLI
ZL2
ZTH
Zci
VTH
Zc21
Figure 8. Circuit diagram showing calculation approach for VTH and Z TH
we want to create a blackbox for the red region, we want to use the same input signal conditions as previously the design of your interference
ector circuit:
Sine wave with a 1 Vpp, with a frequency of 100 kHz (interference)
Square wave with 2.4Vpp, with a frequency of 10 kHz (signal)
member an AC Thevenin equivalent is only valid at one frequency. We have chosen to calculate the Thevenin equivalent circuit (and therefore the
ackbox) at the interference frequency (i.e. 100 kHz), and the signal frequency (i.e. 10 kHz) as these are the key frequencies to analyse. Your boss
is assured you that the waveform converter module has been pre-optimised to the DAB Receiver if you use the recommended circuit topology.
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.
What is the attenuation at the resonant frequency? You should use the LTSpice cursors for your measurement. Answer to within 1% accuracy, or
enter 0, or infinity (as "inf")
(a) Attenuation (dB) =
dB
Check
You may have noticed that it was significantly easier to use frequency-domain "AC" simulation to measure the attenuation, compared to the steps we
performed in the last few questions. (i.e. via a time-domain "transient" simulation).
AC analysis allows us to observe and quantify large scale positive or negative changes in a signal of interest across a wide range of different
frequencies. From the response you will notice that only frequencies that are relatively close to 100 kHz have been attenuated. This is the result of
the Band-reject filter you have designed, and shows the 'rejection' (aka attenuation) of any frequencies that lie in a given band. The obvious follow-up
question is how do we define this band?
We use a quantity known as the bandwidth.
A commonly used measurement for…
Chapter 1 Solutions
Laboratory Manual for Introductory Circuit Analysis
Ch. 1 - Visit your local library (at school or home) and...Ch. 1 - Choose an area of particular interest in this...Ch. 1 - Choose an individual of particular importance in...Ch. 1 - In a recent Tour de France time trial, a...Ch. 1 - Outside the United States speed is measured in...Ch. 1 - Prob. 6PCh. 1 - A pitcher has the ability to throw a baseball at...Ch. 1 - Are there any relative advantages associated with...Ch. 1 - Which of the four systems of units appearing in...Ch. 1 - Which system of Table 1.1 is closest in definition...
Ch. 1 - What is room temperature (68F) in the MKS, CGS,...Ch. 1 - How many foot-pounds of energy are associated with...Ch. 1 - In Europe the height of a man or woman is measured...Ch. 1 - Throughout the world, the majority of countries...Ch. 1 - Write the following numbers to tenths-place...Ch. 1 - Repeat Problem 15 using hundredths-place accuracy.Ch. 1 - Repeat Problem 15 using thousandths-place...Ch. 1 - Express the following numbers as powers of ten to...Ch. 1 - Using only those powers of ten listed in Table 1.2...Ch. 1 - Perform the following operations to...Ch. 1 - Prob. 21PCh. 1 - Perform the following operations to...Ch. 1 - Perform the following operations: 10010,000...Ch. 1 - Perform the following operations to...Ch. 1 - Prob. 25PCh. 1 - Perform the following operations to...Ch. 1 - Perform the following operations to...Ch. 1 - Write the following numbers in scientific and...Ch. 1 - Write the following numbers in scientific and...Ch. 1 - Perform the following operations and leave the...Ch. 1 - Fill in the blanks of the following conversions:...Ch. 1 - Perform the following conversions: 0.05 s to...Ch. 1 - Perform the following conversions to...Ch. 1 - Perform the following metric conversions to...Ch. 1 - Perform the following conversions between systems...Ch. 1 - What is a mile in feet, yards, meters, and...Ch. 1 - Convert 60 mph to meters per second.Ch. 1 - How long would it take a runner to complete a...Ch. 1 - Quarters are about 1 in. in diameter. How many...Ch. 1 - Compare the total time required to drive a long,...Ch. 1 - Find the distance in meters that a mass traveling...Ch. 1 - Each spring there is a race up 86 floors of the...Ch. 1 - The record for the race in Problem 42 is 10.22...Ch. 1 - Prob. 44PCh. 1 - Using Appendix A, determine the number of Btu in 5...Ch. 1 - 6(42+8)=Ch. 1 - Prob. 47PCh. 1 - 52+(23)2=Ch. 1 - cos21.87=Ch. 1 - tan134=Ch. 1 - 40062+105=Ch. 1 - 8.21030.04103 (in engineering notation) =Ch. 1 - (0.06105)(20103)(0.01)2 (engineering notation) =Ch. 1 - 41042103+400105+12106 (in engineering notation) =Ch. 1 - Investigate the availability of computer courses...Ch. 1 - Prob. 56P
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- V₁(t) ww ZRI ZLI ZL2 ZTH Zci VTH Zc21 Figure 8. Circuit diagram showing calculation approach for VTH and Z TH we want to create a blackbox for the red region, we want to use the same input signal conditions as previously the design of your interference ector circuit: Sine wave with a 1 Vpp, with a frequency of 100 kHz (interference) Square wave with 2.4Vpp, with a frequency of 10 kHz (signal) member an AC Thevenin equivalent is only valid at one frequency. We have chosen to calculate the Thevenin equivalent circuit (and therefore the ackbox) at the interference frequency (i.e. 100 kHz), and the signal frequency (i.e. 10 kHz) as these are the key frequencies to analyse. Your boss is assured you that the waveform converter module has been pre-optimised to the DAB Receiver if you use the recommended circuit topology.arrow_forwardVs(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.arrow_forwardFor 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) =arrow_forward
- 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.arrow_forward1. 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 timearrow_forward2. What is the total impedance Zt of your designed circuit? Represent your result in cartesian form NOTE: use j to represent sqare root Zt=arrow_forward
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