Electrical Engineering: Principles & Applications Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134712871
Author: Allan R. Hambley
Publisher: PEARSON
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Question
Chapter 3, Problem 3.56P
To determine
The peak amplitude for the given circuit, area under the pulse waveform.
Units of area under the given pulse.
Peak amplitude and area under the pulse as
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a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 3 ms.c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms.d. Plot the waveforms obtained in parts (a)–(c)
Demonstrate all necessary steps, formulas and calculations properly.
Describe the behavior of the following circuit under the following scenario: (1) Begin with switch S1 open, (2) close switch S1 long enough till the voltage across the inductor is almost zero, and then (3) open switch S1 for a long time beginning at time t = 0.
A capacitor (Vc(0)=0 )that was initially empty was used in the circuits given below. How does the brightness of incandescent lamps change depending on time after the Switch is turned off in these circuits? Interpret and chart.
Chapter 3 Solutions
Electrical Engineering: Principles & Applications Plus Mastering Engineering with Pearson eText -- Access Card Package (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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- A series RC circuit is not switched on and the initial state charge of capacitance ?CO = 10 V. In the circuit voltage source E = 50 V DC. Resistance R = 44 Ω and capacitance C = 100 μF. Give the answers to two decimal places. a) Give time constant Tau of circuit (ms) b) Calculate current after the switch k is closed at the moment t = 0.2 ms. (A) c) Calculate current after the switch k is closed at the moment t = 2*Tau. (A)arrow_forwardPt A. Derive the expression for the capacitor voltage for the time interval 0≤t≤10 μs. Pt B. Derive the expression for the capacitor voltage for the time interval 10 μs≤t≤ 20μs. Pt C. Derive the expression for the capacitor voltage for the time interval 20 μs≤t≤40 μs. Pt D. Derive the expression for the capacitor voltage for the time interval 40 μs≤ t<∞. Pt E. Sketch v(t)v(t) over the interval 0μs≤t≤50arrow_forwardThe voltage across a 10-μ H inductance is given by v( t )=5 sin( 10 6 t ) V. The initial current is i( 0 )=−0.5 A. Find expressions for the current, power, and stored energy for t>0. Sketch the waveforms to scale versus timearrow_forward
- Please answer ASAP and I'll upvote, thank you. In the given circuit, switch S1 is in position A and switch S2 is open. Both switches are in these states for a very long time. At t=0, switch S1 moves from position A to B while switch S2remains open. 10ms after switch S1 moves to position B, switch S2 is closed and remains closed for 20ms only. Determine the expressions for the inductor current for 0≤t<10ms, 10ms≤t<30ms, 30ms≤t<∞, and determine the time (in ms) after switch S1 moves to position B is the current in the inductor equivalent to 30% of the initial value (at ?=0).arrow_forwardIn an RC series circuit, ε = 12.0 V, R = 2.00 MΩ, and C = 2.39 µF. (a) Calculate the time constant. (b) Find the maximum charge that will appear on the capacitor during charging. (c) How long does it take for the charge to build up to 14.3 µC?arrow_forwardA capacitor (Vc(0)=0 )that was initially empty was used in the circuits given below. How does the brightness of incandescent lamps change depending on time after the contactor is turned off in these circuits? Interpret and chart.arrow_forward
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