EE 98: Fundamentals of Electrical Circuits - With Connect Access
6th Edition
ISBN: 9781259981807
Author: Alexander
Publisher: MCG
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Chapter 1.3, Problem 2PP
To determine
Calculate the current at
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Determine iL(t) in the circuit of Fig. P12.25, given thatbefore closing the switch uC(0−)=12 V. Also, the element valuesare R = 2 W, L = 1.5 H, and C = 0.5 F.
The switch in Figure 5 is closed at t = 0 second. Find the voltage of the capacitor, vc, for t>
0.
8Ω
t=0
ww
+
0.15H
+
24U(-t)
80-
2.5mF
VC
2A
0.1H
Figure 5
Q1/For the unity-feedback system where G (s) =
K(s+ 1)(s+ 10)
(s+4) (s-6)
G
Sketch the root locus and find the value of K for which the system is closed-loop stable.
Also find the break-in and breakaway points.
Chapter 1 Solutions
EE 98: Fundamentals of Electrical Circuits - With Connect Access
Ch. 1.3 - Calculate the amount of charge represented by...Ch. 1.3 - Prob. 2PPCh. 1.3 - The current flowing through an element is i= 4A...Ch. 1.5 - To move charge q from point b to point a requires...Ch. 1.5 - Find the power delivered to the element in Example...Ch. 1.5 - A home electric heater draws 10 A when connected...Ch. 1.6 - Figure 1.16 For Practice Prob. 1.7 Compute the...Ch. 1.7 - If an electron beam in a TV picture tube carries...Ch. 1.7 - Referring to the residential rate schedule in...Ch. 1 - One millivolt is one millionth of a volt. (a) True...
Ch. 1 - The prefix micro stands for: (a) 106 (b) 103 (c)...Ch. 1 - The voltage 2.000,000 V can be expressed in powers...Ch. 1 - A charge of 2 C flowing past a given point each...Ch. 1 - The unit of current is: (a) coulomb (b) ampere (c)...Ch. 1 - Voltage is measured in: (a) watts (b) amperes (c)...Ch. 1 - Prob. 7RQCh. 1 - The voltage across a 1.1-kW toaster that produces...Ch. 1 - Which of these is not an electrical quantity? (a)...Ch. 1 - The dependent source in Fig. 1.22 is: (a)...Ch. 1 - How much charge is represented by these number of...Ch. 1 - Determine the current flowing through an element...Ch. 1 - Find the charge q(t) flowing through a device if...Ch. 1 - A total charge of 300 C flows past a given cross...Ch. 1 - Prob. 5PCh. 1 - The charge entering a certain element is shown in...Ch. 1 - The charge flowing in a wire is plotted in Fig....Ch. 1 - Prob. 8PCh. 1 - The current through an element is shown in (a) t =...Ch. 1 - A lightning bolt with 10 kA strikes an object for...Ch. 1 - A rechargeable flashlight battery is capable of...Ch. 1 - The charge entering the positive terminal of an...Ch. 1 - The voltage v(t) across a device and the current...Ch. 1 - The current entering the positive terminal of a...Ch. 1 - Prob. 16PCh. 1 - Figure 1.28 shows a circuit with four elements, p1...Ch. 1 - Find the power absorbed by each of the elements in...Ch. 1 - Find I and the power absorbed by each element in...Ch. 1 - Find Vo and the power absorbed by each element in...Ch. 1 - A 60-W incandescent bulb operates at 120 V. How...Ch. 1 - Prob. 22PCh. 1 - A 1.8-kW electric heater takes 15 min to boil a...Ch. 1 - A utility company charges 8.2 cents/kWh. If a...Ch. 1 - A 1.2-kW toaster takes roughly 4 minutes to heat...Ch. 1 - A cell phone battery is rated at 3.85 V and can...Ch. 1 - A constant current of 3 A for 4 hours is required...Ch. 1 - A 150-W incandescent outdoor lamp is connected to...Ch. 1 - An electric stove with four burners and an oven is...Ch. 1 - Reliant Energy (the electric company in Houston,...Ch. 1 - In a household, a business is run for an average...Ch. 1 - A telephone wire has a current of 20 A flowing...Ch. 1 - A lightning bolt carried a current of 2 kA and...Ch. 1 - Figure 1.32 shows the power consumption of a...Ch. 1 - The graph in Fig. 1.33 represents the power drawn...Ch. 1 - A battery can be rated in ampere-hours (Ah) or...Ch. 1 - A total of 2 MJ are delivered to an automobile...Ch. 1 - How much energy does a 10-hp motor deliver in 30...Ch. 1 - A 600-W TV receiver is turned on for 4 h with...
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- 12.22 Repeat Problem 12.21, but assume that the switch hadbeen open for a long time and then closed at t = 0. Set the dcsource at 12 mV and the element values at R0 = 5 W, R1 = 10 W,R2 = 20 W, L = 2 H, and C = 0.4 F. question 21(Determine iL(t) in the circuit of Fig. P12.21 for t ≥ 0,given that the switch was opened at t = 0 after it had been closedfor a long time, us = 12 mV, R0 = 5 W, R1 = 10 W, R2 = 20 W,L = 0.2 H, and C = 6 mF.)arrow_forwardIn Figure 1, by considering reference located at node 4, the voltage nodes will be: V1=4, V2= -5, V3=0.5 volts. If we change the location of reference to node 3, find the values for V1, V2, V4, ix, Vo, Vx and power produced by the current sources without conducting detailed node or mesh analyses. 10 www 4A ww 44 4Q 802 w + Vo 4Q 2 3 3ix Figure 1 ww 4Q 5 W4 1.50arrow_forwardIn the Figure 3 a) Find the values for Vi and ix using nodal analysis. b) Find the produced power by the current source. 50 10Ω www 37A 10Ω 20 5 ix V₁ 200 ix Figure 3 ww 100 + 4V1arrow_forward
- 2) By series and parallel combinations find the equivalent capacitance for this circuit. ||15€ Cequivalent -66 6f 6E 12Farrow_forwardQ2/For the unity-feedback system where G(s) = K/[s (s+3) (s+ 5)], find the range of gain, K, for stability, instability, and the value of gain for marginal stability. For marginal stability also. Use the Nyquist criterion.arrow_forward240 Q3/Q1/For the system G(s)= H(s)=1 (s+2)(s+4)(s+5) a. Draw the Bode log-magnitude and phase plots. b. Evaluate gain margin, phase margin, zero dB frequency, and 180° ¿B=2020arrow_forward
- In the Figure 2 a) Find the Norton equivalent circuit which supplies power to RL. b) How much is RL,max for transferring maximum power RL? c) If we replace the load with R'L,max = 2 RL,max, calculated in part (b), what will be the voltage at R'L,max? 18V 18A 3Ω ΖΩ 4Q ww ww ww ΘΩ Figure 2 w 5Ω RLarrow_forwardDon't use ai to answer I will report you answerarrow_forwardBW=1MHZ For Johnson-Nyquist Noise Generator (or Thermal Noise Generator), the device utilizes the thermal noise that naturally arises from the random motion of electrons in resistors at a non-zero temperature. The voltage is arising from thermal noise in two resistors of 80 and 120 Qat Temperature T=290 °k: 1-Write the equations of v(t), 12(t), up on the circuit diagram of series and parallel connecti 2- Apply the equation v(t) to find Vrms for series connection scheme. 3- Find inrms for Series scheme 4- Find the Vrms for series scheme. By using i̟rms √³(+)O v²(t) 80 120 ww R₁ R₂ Gi G if(t) 1/80 1/120arrow_forward
- For Johnson-Nyquist Noise Generator (or Thermal Noise Generator), the device utilizes the thermal noise that naturally arises from the random motion of electrons in resistors at a non-zero temperature. The voltage is arising from thermal noise in two resistors of 80 and 120 Qat Temperature T=290 °k: 1-Write the equations of v(t), 12(t), up on the circuit diagram of series and parallel connecti 2- Apply the equation v(t) to find Vrms for series connection scheme. 3- Find inrms for parallel scheme 4- Find the Vrms for series scheme. By using inrms 80 Q 120 ww R₁ R₂ v²(t) Gi i²(t) 1/80 1/120arrow_forwardVcc=-12 V；R1=33 kΩ；RC=1.8 kΩ；βDC = 150；RE=560Ω；R2=5.6 k Ω確定圖5-38中的I1、I2和IB。 課本給的答案A: I1=315μA；I2=288μA ；IB=27μA，請教我計算過程arrow_forwardConsider the following circuit, assuming the switch has been in the same position for a long period of time before t = 0: Vx L iL R3 R2 R₁ Is + Vo - コロ >Where Is = 100 mA,R=2202, R2 = 4702,R3 =4702,L= 1 mH. As indicated on the diagram, before t = 0, the switch is closed, after t = 0 the switch is open. 1. What are Ve and Vo before the switch shown opens (answer to within 1% accuracy)? Vx = V, Vo = V 2. What is the T of the RL circuit after the switch operates (answer to within 1% accuracy)? T= μs 3. Complete the derivation for the inductor current in (t) differential equation below by filling in the blank coefficients (answer to within 1% accuracy): diy(1) dt di (0) + iz (t)+ = 0 4. Hence or otherwise, find the time domain expression for Vo(t) (answer to within 1% accuracy): Vo(t)= exp(arrow_forward
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