Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 3, Problem 3.81P
A 1-H inductance has
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9) Switch S1 closes at t=0.
What is the final voltage across the capacitor? What is the current through the capacitor at t=0? How long does it take the capacitor to reach it’s final voltage?
The capacitor in the circuit is initially uncharged and the switch S is suddenly closed at t=0. Find the current on resistor
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In the circuit depicted below, determine the voltage across the capacitor for t > 0. Your answer
will be a function of t, using impulsive functions to represent discontinuities.
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25 u(t) V
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Chapter 3 Solutions
Electrical Engineering: Principles & Applications (7th Edition)
Ch. 3 - What is a dielectric material? Give two examples.Ch. 3 - Briefly discuss how current can flow “through” a...Ch. 3 - What current flows through an ideal capacitor if...Ch. 3 - Describe the internal construction of capacitors.Ch. 3 - A voltage of 50 V appears across a 10F capacitor....Ch. 3 - A 2000F capacitor, initially charged to 100V, is...Ch. 3 - A 5F Capacitor ischarged to 1000 V. Determine the...Ch. 3 - The voltage across a 10F capacitor is given by v...Ch. 3 - The voltage across a 1F capacitor is given by...Ch. 3 - Prior to t = 0, a 100F capacitance is uncharged...
Ch. 3 - The current through a 0.5F capacitor is shown in...Ch. 3 - Determine the capacitor voltage, power, and stored...Ch. 3 - A current given by i(t)=Imcos(t) flows through a...Ch. 3 - The current through a 3F capacitor is shown in...Ch. 3 - A constant (dc) current i(t)=3 mA flows into a 50F...Ch. 3 - The energy stored in a 2F capacitor is 200 J and...Ch. 3 - At t=t0 the voltage across a certain capacitance...Ch. 3 - An unusual capacitor has a capacitance that is a...Ch. 3 - For a resistor, what resistance corresponds to a...Ch. 3 - Suppose we have a very large capacitance (ideally,...Ch. 3 - We want to store sufficient energy in a 001-F...Ch. 3 - A 100F capacitor has a voltage given by v(t)=1010...Ch. 3 - How are capacitances combined in series and in...Ch. 3 - Find the equivalent capacitance for each of the...Ch. 3 - Find the equivalent capacitance between terminals...Ch. 3 - A network has a 5F capacitance in series with the...Ch. 3 - What are the minimum and maximum values of...Ch. 3 - Two initially uncharged capacitors C1=15F and...Ch. 3 - Suppose that we are designing a cardiac pacemaker...Ch. 3 - Suppose that we have two 100F capacitors One is...Ch. 3 - Determine the capacitance of a parallel-plate...Ch. 3 - A 100-pF capacitor is constructed of parallel...Ch. 3 - We have a parallel-plate capacitor with plates of...Ch. 3 - Suppose that we have a 1000-pF parallel-plate...Ch. 3 - Two 1F capacitors have an initial voltage of 100 V...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - A parallel-plate capacitor is used as a vibration...Ch. 3 - A 0.1F capacitor has a parasitic series resistance...Ch. 3 - Prob. 3.40PCh. 3 - Briefly discuss how inductors are constructed.Ch. 3 - The current flowing through an inductor is...Ch. 3 - If the current through an ideal inductor is...Ch. 3 - Briefly discuss the fluid-flow analogy for an...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The current flowing through a 100-mH inductance is...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The voltage across a 2-H inductance is shown in...Ch. 3 - The voltage across a 10 H inductance is given by...Ch. 3 - A 2-H inductance has i(0) = 0 and v(t)=texp(t) for...Ch. 3 - A constant voltage of 10V is applied to a 50H...Ch. 3 - At t = 0, the current flowing in a 05-H inductance...Ch. 3 - The current through a 100-mH inductance is given...Ch. 3 - Prior to t= 0, the current in a 2-H inductance is...Ch. 3 - At t= 0, a constant 5-V voltage source is applied...Ch. 3 - Prob. 3.56PCh. 3 - Al t= 5 s, the energy stored in a 2-H inductor is...Ch. 3 - What value of inductance (having zero initial...Ch. 3 - To what circuit element does a very large...Ch. 3 - The voltage across an inductance L is given by...Ch. 3 - Discuss how inductances are combined in series and...Ch. 3 - Determine the equivalent inductance for each of...Ch. 3 - Find the equivalent inductance for each of the...Ch. 3 - What is the maximum inductance that can be...Ch. 3 - Suppose we want to combine (in series or in...Ch. 3 - Prob. 3.66PCh. 3 - Two inductances L1=1H and L2=2H are connected in...Ch. 3 - A 10-mH inductor has a parasitic series resistance...Ch. 3 - Draw the equivalent circuit for a real inductor,...Ch. 3 - Suppose that the equivalent circuit shown in...Ch. 3 - Consider the circuit shown in Figure P3.71 in...Ch. 3 - The circuit shown in Figure P3.72 has...Ch. 3 - Describe briefly the physical basis for mutual...Ch. 3 - The mutually coupled inductances in Figure P3.74...Ch. 3 - Repeat Problem P3.74 with the dot placed at the...Ch. 3 - a. Derive an expression for the equivalent...Ch. 3 - Consider the parallel inductors shown in Figure...Ch. 3 - Consider the mutually coupled inductors shown in...Ch. 3 - Mutually coupled inductances have...Ch. 3 - The current through a 200-mH inductance is given...Ch. 3 - A 1-H inductance has iL(0)=0 and vL(t)=texp(t) for...Ch. 3 - The current flowing through a 10F capacitor having...Ch. 3 - Determine the equivalent capacitance Ceq for...Ch. 3 - A certain parallel-plate capacitor has plate...Ch. 3 - A 2-mH inductance has iab=0.3sin(2000t)A . Find an...Ch. 3 - Determine the equivalent inductance Leq between...Ch. 3 - Given that vc(t)=10sin(1000t)V , find vs(t)in the...Ch. 3 - Prob. 3.7PTCh. 3 - The current flowing through a 20F capacitor having...
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- Need help it’s urgentarrow_forwardAn LC circuit like the one in the Figure contains an 25.1-mH inductor and a 224-µF capacitor that initially carries a 212-μC charge. The switch is open for t < 0 and then thrown closed at t = 0. At t = 1.97-ms, find the current in the circuit (unit in mA). t C -ww- Larrow_forwardThe questions states that at t=0 the switch is closed for the circuit. Initial value of the capacitor and inductor are zero (0). We have to find the expression for capacitor voltage (Vc)arrow_forward
- 1.The switch in the following circuit has been open for a long time. At time t=0 the switch is closed. + V1 120 R1 5 R4 R2 10 R3 L1 100mH 15 5 Determine the current in the inductor as a function of time, and plot it.arrow_forwardThe switch S is closed at t = 0. Which statements about the following RL circuit are true? (Assume a DC source and that the inductors have no resistance.) Circle all answers that apply. L L R (A) Immediately after the switch is closed, the source sees an equivalent resistance of R/2. (B) Immediately after the switch is closed, the source sees an equivalent resistance of 2R. (C) Immediately after the switch is closed, the source sees an equivalent resistance of 3R/2. (D) At t = infinity after the switch is closed, the source sees an equivalent resistance of R. (E) At t = infinity after the switch is closed, the source sees an equivalent resistance of 2R. (F) At t = infinity after the switch is closed, the source sees an equivalent resistance of 3R/2.arrow_forwardThe switch in the following circuit closes at t-0. If the capacitor is initially discharged, calculate the voltage on the capacitor at t-3s. (R-50KQ, C-33uF) 50 k2 15 V 33 jularrow_forward
- Please solve it fastarrow_forwardQ1/ For the network shown in figure (Qı), the switch has been in position “a" for a long time. At t=0, the switch moves and stays at position "b". Determine an expression for the inductor current iL(t) when t20 using the general solution formula. 5sL Lielt) 122 a tzo 6052 lom k 72V 202arrow_forwardFor the circuit in Figure 3 the switch is in the left position for several minutes: (a) Find the Initlal voltage, V, on the capacitor just before the switch is flipped (b) Find an expression v(t) that describes the voltage across the 20 N resistor after the switch has been Figure 3 U 09 flipped to the right NOTE: Remember what we said in class: use a Circuit-Specific Equation to get a value you know. Then solve for whatever else the problem asks for +50 µF 380 0 20 2arrow_forward
- The energy on the inductor is initially (t<0) 0.1 microJoules and the switch S is turned ON at t=0 second. Find the current on inductor L at t= 1 microsecond. The inductor L is 1 mH. too s itinarrow_forwardThe two parallel inductors in the figure below are connected across the terminals of a black box at t = 0. The resulting voltage v for t > 0 is known to be 12e-V. It is also known that i₁(0) = 2A and i2(0) = 4A. - i1(t) L1 3 H i2(t) L2 6 H i(t) t=0 Black Box (a) Replace the original inductors with an euivalent inductor and find i(t) for t≥ 0. (b) Find i₁(t) for t≥ 0. (c) Find i2(t) for t≥ 0. (d) How much energy is delivered to the black box in the time interval 0 ≤ t ≤∞. (e) How much energy was initially stored in the the parallel inducutors? (f) How much energy is trapped in the ideal inductors? (g) Show that your solutions for i₁(t) and i2(t) agree with your answer in (f).arrow_forward2arrow_forward
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