EE 98: Fundamentals of Electrical Circuits - With Connect Access
6th Edition
ISBN: 9781259981807
Author: Alexander
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 5P
Using Fig. 7.85, design a problem to help other students better understand source-free RC circuits.
Figure 7.85
For Prob. 7.5.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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)
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.
Chapter 7 Solutions
EE 98: Fundamentals of Electrical Circuits - With Connect Access
Ch. 7.2 - Refer to the circuit in Fig. 7.7. Let vC (0) = 60...Ch. 7.2 - If the switch in Fig. 7.10 opens at t = 0, find...Ch. 7.3 - Find i and vx in the circuit of Fig. 7.15. Let...Ch. 7.3 - For the circuit in Fig. 7.18, find i(t) for t 0....Ch. 7.3 - Determine i, io, and vo for all t in the circuit...Ch. 7.4 - Express the current pulse in Fig. 7.33 in terms of...Ch. 7.4 - Refer to Fig. 7.39. Express i(t) in terms of...Ch. 7.4 - If h t = 0, t0 4, 0t2 3t8, 2t6 0, t6 express h(t)...Ch. 7.4 - Practice Problem 7.9 Evaluate the following...Ch. 7.5 - Find v(t) for t 0 in the circuit of Fig. 7.44....
Ch. 7.5 - The switch in Fig. 7.47 is closed at t = 0. Find...Ch. 7.6 - The switch in Fig. 7.52 has been closed for a long...Ch. 7.6 - Switch S1 in Fig. 7.54 is closed at t = 0, and...Ch. 7.7 - For the op amp circuit in Fig. 7.56, find vo for t...Ch. 7.7 - Find v(t) and vo(t) in the op amp circuit of Fig....Ch. 7.7 - Obtain the step response vo(t) for the circuit in...Ch. 7.8 - For the circuit in Fig. 7.66, use Pspice to find...Ch. 7.8 - The switch in Fig. 7.71 was open for a long time...Ch. 7.9 - The RC circuit in Fig. 7.74 is designed to operate...Ch. 7.9 - The flash unit of a camera has a 2-mF capacitor...Ch. 7.9 - A relay has a resistance of 200 and an inductance...Ch. 7.9 - Prob. 22PPCh. 7 - An RC circuit has R = 2 and C = 4 F. The time...Ch. 7 - The time constant for an RL circuit with R = 2 ...Ch. 7 - A capacitor in an RC circuit with R = 2 and C = 4...Ch. 7 - An RL circuit has R = 2 and L = 4 H. The time...Ch. 7 - In the circuit of Fig. 7.79, the capacitor voltage...Ch. 7 - Figure 7.79 For Review Questions 7.5 and 7.6....Ch. 7 - For the circuit in Fig. 7.80, the inductor current...Ch. 7 - Figure 7.80 For Review Questions 7.7 and 7.8....Ch. 7 - If vs changes from 2 V to 4 V at t = 0, we may...Ch. 7 - The pulse in Fig. 7.116(a) can be expressed in...Ch. 7 - In the circuit shown in Fig. 7.81...Ch. 7 - Find the time constant for the RC circuit in Fig....Ch. 7 - Determine the time constant for the circuit in...Ch. 7 - The switch in Fig. 7.84 has been in position A for...Ch. 7 - Using Fig. 7.85, design a problem to help other...Ch. 7 - The switch in Fig. 7.86 has been closed for a long...Ch. 7 - Assuming that the switch in Fig. 7.87 has been in...Ch. 7 - For the circuit in Fig. 7.88, if...Ch. 7 - The switch in Fig. 7.89 opens at t = 0. Find vo...Ch. 7 - For the circuit in Fig. 7.90, find vo(t) for t 0....Ch. 7 - For the circuit in Fig. 7.91, find io for t 0....Ch. 7 - Using Fig. 7.92, design a problem to help other...Ch. 7 - In the circuit of Fig. 7.93,...Ch. 7 - Calculate the time constant of the circuit in Fig....Ch. 7 - Find the time constant for each of the circuits in...Ch. 7 - Determine the time constant for each of the...Ch. 7 - Consider the circuit of Fig. 7.97. Find vo(t) if...Ch. 7 - For the circuit in Fig. 7.98, determine vo(t) when...Ch. 7 - In the circuit of Fig. 7.99, find i(t) for t 0 if...Ch. 7 - For the circuit in Fig. 7.100, v = 90e50t V and i...Ch. 7 - In the circuit of Fig. 7.101, find the value of R...Ch. 7 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 7 - Consider the circuit in Fig. 7.103. Given that...Ch. 7 - Express the following signals in terms of...Ch. 7 - Design a problem to help other students better...Ch. 7 - Express the signals in Fig. 7.104 in terms of...Ch. 7 - Express v(t) in Fig. 7.105 in terms of step...Ch. 7 - Sketch the waveform represented by i(t) = [r(t) ...Ch. 7 - Sketch the following functions: (a) x(t) = 10etu(t...Ch. 7 - Prob. 30PCh. 7 - Evaluate the following integrals: (a)e4t2(t2)dt...Ch. 7 - Prob. 32PCh. 7 - The voltage across a 10-mH inductor is 45(t 2)mV....Ch. 7 - Evaluate the following derivatives: (a) ddtut1ut+1...Ch. 7 - Find the solution to the following differential...Ch. 7 - Solve for v in the following differential...Ch. 7 - A circuit is described by 4dvdt+v=10 (a) What is...Ch. 7 - A circuit is described by didt+3i=2ut Find i(t)...Ch. 7 - Calculate the capacitor voltage for t 0 and t 0...Ch. 7 - Find the capacitor voltage for t 0 and t 0 for...Ch. 7 - Using Fig. 7.108, design a problem to help other...Ch. 7 - (a) If the switch in Fig. 7.109 has been open for...Ch. 7 - Consider the circuit in Fig. 7.110. Find i(t) for...Ch. 7 - The switch in Fig. 7.111 has been in position a...Ch. 7 - Find vo in the circuit of Fig. 7.112 when vs =...Ch. 7 - Prob. 46PCh. 7 - Determine v(t) for t 0 in the circuit of Fig....Ch. 7 - Find v(t) and i(t) in the circuit of Fig. 7.115....Ch. 7 - If the waveform in Fig. 7.116(a) is applied to the...Ch. 7 - In the circuit of Fig. 7.117, find ix for t 0....Ch. 7 - Rather than applying the shortcut technique used...Ch. 7 - Using Fig. 7.118, design a problem to help other...Ch. 7 - Determine the inductor current i(t) for both t 0...Ch. 7 - Obtain the inductor current for both t 0 and t 0...Ch. 7 - Find v(t) for t 0 and t 0 in the circuit of Fig....Ch. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Rework Prob. 7.17 if i(0) = 10 A and v(t) = 20u(t)...Ch. 7 - Determine the step response vo(t) to is = 6u(t) A...Ch. 7 - Find v(t) for t 0 in the circuit of Fig. 7.125 if...Ch. 7 - In the circuit in Fig. 7.126, is changes from 5 A...Ch. 7 - For the circuit in Fig. 7.127, calculate i(t) if...Ch. 7 - Obtain v(t) and i(t) in the circuit of Fig. 7.128....Ch. 7 - Determine the value of iL(t) and the total energy...Ch. 7 - If the input pulse in Fig. 7.130(a) is applied to...Ch. 7 - Using Fig. 7.131, design a problem to help other...Ch. 7 - If v(0) = 10 V, find vo(t) for t 0 in the op amp...Ch. 7 - Prob. 68PCh. 7 - For the op amp circuit in Fig. 7.134, find vo(t)...Ch. 7 - Determine vo for t 0 when vs = 20 mV in the op...Ch. 7 - For the op amp circuit in Fig. 7.136, suppose vs =...Ch. 7 - Find io in the op amp circuit in Fig. 7.137....Ch. 7 - For the op amp circuit of Fig. 7.138, let R1 = 10...Ch. 7 - Determine vo(t) for t 0 in the circuit of Fig....Ch. 7 - In the circuit of Fig. 7.140, find vo and io,...Ch. 7 - Repeat Prob. 7.49 using PSpice or MultiSim. If the...Ch. 7 - The switch in Fig. 7.141 opens at t = 0. Use...Ch. 7 - The switch in Fig. 7.142 moves from position a to...Ch. 7 - In the circuit of Fig. 7.143, determine io(t)....Ch. 7 - In the circuit of Fig. 7.144, find the value of io...Ch. 7 - Repeat Prob. 7.65 using PSpice or MultiSim. If the...Ch. 7 - In designing a signal-switching circuit, it was...Ch. 7 - Prob. 83PCh. 7 - A capacitor with a value of 10 mF has a leakage...Ch. 7 - A simple relaxation oscillator circuit is shown in...Ch. 7 - Figure 7.146 shows a circuit for setting the...Ch. 7 - A 120-V dc generator energizes a motor whose coil...Ch. 7 - The circuit in Fig. 7.148(a) can be designed as an...Ch. 7 - An RL circuit may be used as a differentiator if...Ch. 7 - An attenuator probe employed with oscilloscopes...Ch. 7 - The circuit in Fig. 7.150 is used by a biology...Ch. 7 - To move a spot of a cathode-ray tube across the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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 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_forwardAn electric resistance space heater is designed such that it resembles a rectangular box 55 cm high, 75 cm long, and 20 cm wide filled with 45 kg of oil. The heater is to be placed against a wall, and thus heat transfer from its back surface is negligible. The surface temperature of the heater is not to exceed 75°C in a room at 25°C for safety considerations. The emissivity of the outer surface of the heater is 0.8 and the average temperature of the ceiling and wall surfaces is the same as the room air temperature. The properties of air at 1 atm and the film temperature are: k = 0.02753 W/m-°C, v=1.798 x 10-5 m²/s, Pr = 0.7228, and ẞ= 0.003096K-1 Wall T₁ =75°C Oil € = 0.8 Electric heater Heating element Disregarding heat transfer from the bottom and top surfaces of the heater in anticipation that the top surface will be used as a shelf, determine the power rating of the heater in W. The power rating of the heater is W.arrow_forward
- circuit 2arrow_forwardSuppose you have 8 LED's connected to port-B (Bo-B7) of PIC16F877A and one switch connected to port-D (Do) as shown in figure below. Write a program code that performs a nibble (4-bits) toggling: if the switch is released then LED's (Bo to B3) are OFF and LED's (B4 to B7) are ON, while if the switch is pressed then LED's (Bo to B3) are ON and LED's (B4 to B7) are OFF. Use 300ms delay for each case with 4MHz frequency. 13 14 22 NATHON 20 U1 OSC1/CLKIN U2 33 REOINT 20 34 OSC2/CLKOUT 19 RB1 35 3 18 RB2 RADIANO debt0RB3PGM 30 4 17 37 5 10 RA1/AN1 RB4 38 RA2/ANZ/VREF-/CVREF 15 RB5 39097 RA3/AN3VREF RB6/PGC 7 14 40 RA4/TOCK/C1OUT 13 RB7/PGO RAS/ANA/SS/CZOUT 15 RCO/T1OSO/TICKI 10 11 REQIANS/RD 18 RC1/T10S/CCP2 17 10 RE1/AN/WR REZ/ANTICS MCLR/Vpp/THV RC2/CCP1 LED-BARGRAPH-RED RC3/SCK/SCL RC4/SDUSDA RC5/SDO Eng of ROSTX/CX RC7/RX/DT RDO/PSPO RD1/PSP1 RD2PSP2 RO3/PSP3 RD4/PSP4 ROS/PSP5 RD6/PSP6 RD7/PSP7 PIC16F877A +5V R1 100Rarrow_forwardWrite a PIC16F877A program that flash ON the 8-LED's connected to port-B by using two switches connected to port-D (Do & D₁) as shown in figure below, according to the following scenarios: (Hint: Use 500ms delay for each case with 4MHz frequency) 1. When Do=1 then B₁,B3,B, are ON. 2. When Do 0 then Bo,B2,B4, B5, B6 are ON. 3. When D₁=1 then B4,B,,B6,B7 are ON. 4. When D₁-0 then Bo,B1,B2,B3 are ON. U1 5 33 OSC/CLION OSC2/CLKOUT ROOINT RB1 35 RB2 20 17 RACIANO RESPOM RATANT RAZIANZ/VREF-CVREF RBS RA3/AN3/VREF+ REPOC 39 14 40 RA4/TOCK C1OUT 13 RB7/PGO 12 RASIAN/SCOUT 15 ROOT1050/TICK +5V REGIANERD REVANDVIR REZANTICS RCMT10SUCCP2 17 RC2/CCP1 LED-BARGRAPH-RED RC3SCHISCL 23 --- MCUANTV RC4/SOSDA 24 RCS/SDO RCB/TICK RC7/RXDT 25 ROOPSPO RDMPSP1 RD2PSF2 RO3PSP3 RD4PSP4 RDSPSPS PIC16F877A ROOPSP RO7/PSP7 R2 R1 100R 100Rarrow_forward
- Question 5 The following data were obtained from testing a 48-kVA 240/4800 V step up transformer. Open-circuit test Short-circuit test Voltage (V) 240 150 Current (I) 2 10 Power (W) 120 600 Determine the equivalent circuit of the transformer as viewed from the primary side. Ans: Rc = 480 ohm, Xm = 123.94 ohm, Reqp = 0.015 ohm, Xeqp = 0.034 ohmarrow_forwardFrom the following mass-spring system, obtain its transfer function and pole-zero wwwwwwww wwww diagram in MATLAB. Analyze how stability varies when entering values. wwwww (4)x1 ▷ x(t) M f(t) B f(t) is the input variable and x(t) is the controlled variable.arrow_forwardR2 L3 C5 BRF_OUT HH Sine_OUT 100 1m 100n C3 C4 100n 100n Figure 9. Square to sine waveform converter circuit How do we make sense of this? First, we note that R2 and C3 form a first order low pass filter and L3 and C4 form another low pass filter. Both low pass filters have been set at the same cutoff frequency. The combination of both form a two stage filter to remove the high frequency content present in the DAB signal. Capacitor C5 is used to remove any residual DC offset in the signal. But let's just deal with the AC steady state response, which means that you don't need to know any of these details, and then can conveniently treat this circuit as a blackbox. What is the theoretical cutoff frequency for the RC and LC filters shown in Figure 9? Answer to within 1% accuracy. (a) RC Filter cutoff frequency (f 1) = kHzarrow_forward
- For the following steady-state AC circuit, find the complex output voltage, VO, shown in the diagram. Write the answer in polar form (angles in degrees), accurate within 1%. L1=0.7H, L2=5H, C=14F, R=0.60, and w=0.7 rad/s L1 m Vo R Vs 5/30°V Answer: ய ww L2 23arrow_forwardPlease draw logic circuitarrow_forwardA 220-volt, 20-horsepower compound motor (long shunt, Figure 21–16A) has an armature resistance of 0.25 ohm, series field resistance of 0.19 ohm, and shunt field resistance of 33 ohms. a. Calculate the current taken by the motor at the instant of starting if it is con-nected directly to the 220-volt line. b. Calculate the current when the motor is running if the armature is developing 184 volts counter-emf.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
ENA 9.2(1)(En)(Alex) Sinusoids & Phasors - Explanation with Example 9.1 ,9.2 & PP 9.2; Author: Electrical Engineering Academy;https://www.youtube.com/watch?v=vX_LLNl-ZpU;License: Standard YouTube License, CC-BY
Electrical Engineering: Ch 10 Alternating Voltages & Phasors (8 of 82) What is a Phasor?; Author: Michel van Biezen;https://www.youtube.com/watch?v=2I1tF3ixNg0;License: Standard Youtube License