Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.50P
A 2-H inductance has i(0) = 0 and
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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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B) The switch in the circuit shown in figure has been elosed for a long time before it is opened at t 3D
0. Find
a) the initial value of (i)
b) the initial energy stored in the inductor.
c) the time constant of the eireuit
d) the numerical expression of i(t) for t2 0.
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120 V
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In the circuit shown in Figure, the switch
S is closed at time t = 0. the voltage
across the inductance at t = 0+
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10V
A) 2V
B 4V
c) -6V
D) 8V
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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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- Problem 3 See the circuit shown below. The initial current in the inductor is i (0+)= −0.3 mA. Write the expression for the current i and the voltage UL for t > 0. Sketch the waveforms to scale versus time. i, (t) L = 20 mH elle + V₁ (t) — R = 6 KQ t = 0 O 0.5 mAarrow_forward4. The switch shown in Figure has been open for a long time before closing at t = 0. Write the expression for the capacitor voltage,v(t), for t 2 0arrow_forwardThe voltage at terminal of the inductor in circuit is shown in figure. The inductor current I is known to be zero for t≤0. Plot I versus t for 0≤tarrow_forward
- The 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_forwardFind and plot the currents i(t), iz(t), and iz(t) in the circuit below given is(t) as shown in the plot. Hint: First determine the equivalent inductance that can replace the three inductors. Next, find the voltage across the current source, then, calculate the current in each inductor. is (t) 1Hi(t) 10 mA Dis(t) ist) 5 H 3 is(t) 2 ms 4 msarrow_forwardFor function f(t) = 5 sin(2t) show analytically & graphically the function form subject to shift upwards by 5 units shift in time domain by 5 units left. Please answer in typing format and draw diagram on paper and cleanarrow_forward
- For 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_forwardAnswer ASAP, I'll give upvote. Thank you. The switch has been closed for a very long time before t = 0, but is opened at t = 0. For t > 0, determine the constants A and B if the inductor current is i(t) = Ae-2t+Be-18t.arrow_forwardWith reference to the figure below, sketch the inductor voltage, v, as a function of time, 0arrow_forwardThe switch S1 remains open at all times and the switch S2 closes at t = 0. From the figure, determine the initial and final conditions of the voltage across the capacitor.arrow_forwardFor the circuit below with switch U1 closing at time t=0 and the initial current in inductor L1 equal zero, find the transient response voltage across the resistor R1: (Provide your calculations and reasoning for your answer.) L1 1 2 U1 50mH 11 R2 1k R1 0.150Adc 15arrow_forwardEx. 170. Given R= 16 Ohms, C= 14 Farads, L= Henries, V= 11 volts DC, and a switch - all in series. The switch closes at t=0. All initial values are 6. zero. The differential equation for the voltage across the capacitor can be written as: Vc dot dot + A Vc dot + B Vc = D, where Vc dot is the first derivative of Vc (t) and Vc dot dot is the second derivative of Vc(t). Determine A, B, and D. ans:3arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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