Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 62P
Consider the circuit in Fig. 6.84. Given that v(t) = 12e−3t mV for t > 0 and i1(0) = −30 mA, find: (a) i2(0), (b) i1(t) and i2(t).
Figure 6.84
For Prob. 6.62.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The voltage across a 200-mH inductor is given by v = 3t2 + 2t + 4V. Determine the current through the inductor after 1s. Assume that i(0) = 0
We connect a 6 uF capacitor to the terminals of a 12 V battery, leaving it for a long time. Once the capacitor is fully charged, we
remove the 12 V battery. Next, we connect the positive plate of the capacitor to the positive terminal of a 6 V battery, and the negative
plate of the capacitor to the battery's negative terminal. At the moment the capacitor is connected to the 6 V battery, draw the new
circuit. Indicate which plate of the capacitor is positive/negative and the direction of current flow,
Calculate the current in the circuit or explain why you can't if it's not possible. Either way, give some qualitative description of what
happens.
Hint: where is the resistance in a DC circuit without a resistor?
Which of the following statement is false
O A capacitor cannot store energy if the current through the capacitor is zero.
The current flows through an inductor cannot be changed in zero time.
O The voltage across a capacitor cannot be changed in zero time.
An inductor is a short circuit to DC.
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...
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
- A capacitor that is initially uncharged is connected in series with a resistor and a 300.0 V emf source with negligible internal resistance. Just after the circuit is completed, the current through the resistor is 0.950 mA and the time constant for the circuit is 6.00 s. (A) What is the resistance of the resistor? (B) What is the capacitance of the capacitor?arrow_forward6.48 Under steady-state dc conditions, find i and v in the circuit in Fig. 6.71. 5 mA Figure 6.71 For Prob. 6.48. i 2mH 30 ΚΩ 20 ΚΩ 6 μF Iarrow_forwardAt t= 0, a 2.3 uF capacitance is pre-charged to an unknown voltage V. The capacitance is in parallel with a 4 k2 resistance. For t>0 the capacitor is disconnected from the charging source and allowed to discharge into the resistor. At t = 2 ms, the voltage across the capacitance is 10 V. Calculate the value of V (V).arrow_forward
- The current through a 25-mH inductor is 10e t/2 A. Find the voltage at t = 3 s. Enter your answer with the correct sign and in units of mV.arrow_forwardA 0.8H inductor is connected in series with a 7.0ohm resistor. If the connection is enegized form a 10-V DC source, determine the voltage(in volts) across the inductor at t = 2.5ms/ The initial current is 150mA.arrow_forwardA 2002 resistor, a 0.01 H inductor and a 100 µF capacitor are connected in series, A DC voltage of 100 V is suddenly applied to the circuit. Find the maximum current and the time at which it occurs.arrow_forward
- Q1. a) The current that goes through a 100 mH inductor is given as 1(t)-6-20¹¹ A 120 Find the voltage v() across the inductor. ( Parrow_forward-2•t mA (tis in 6.32 In the circuit below, the source current function is ig = 4.0.e second in this equation), and the voltage across each capacitor is equal to zero at t = 0. The capacitors = 21 UF , C2 = 13 UF , and C3 = 14 UF. Determine the v2 (in V) when t = 1.3 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. %3D %3D %3D C3 + is V2 C2 10 Ω Your Answer: Answerarrow_forwardA 100 μF capacitor initially charged to 24 V is discharge across a series combination of a 1 kΩ resistor and a 200 μF capacitor. Find the current after 1 sec.arrow_forward
- Question 6 b) Using mathematical formulations distinguish between Energy signals and power signals. c) Determine whether the signal below is an energy or power signal or neither. x(t)=tu(t)=r(t)arrow_forwarda resistance of 100k ohms is connected in series with a 100uF capacitor.if the combination is suddenly connected across a 125V DC source, determine the current one second after the switch is closedarrow_forwardAn electric circuit contains an 8 ohm resistor in series with an inductor of 0.50 henries and a battery of E volts. At t=0 the current is zero. Find the current at any time t > 0 and the maximum current if E=8te-16tarrow_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:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering 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,
Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY