Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 3, Problem 3.14P
The current through a
Figure P3.14
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A 20-ohm resistor and a capacitor are connected in series with a battery of 60 volts. At t = 0, there is no charge on the capacitor. Find the capacitance if the current at t = 5 seconds is 3/e^s amperes.
Ans. 0.05 Farads
Two 1-μF capacitors have an initial voltage of 100 V (before the switch is closed), as shown in Figure P3.35. Find the total stored energy before the switch is closed. Find the voltage across each capacitor and the total stored energy after the switch is closed. What could have happened to the energy?
t is in seconds..
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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- 4. For the circuit shown in Figure...., determine (a) the total circuit capacitance, (b) the total energy in the circuit, and (c) the charges in the capacitors shown as C₁ and C₂. 2 F 2μF HH 2μF 2μF 2μF 2 μF C₁ HH HI 2 μF 50 V H 2μF C₂arrow_forward3-10 A0.25-F capacitor has a current waveform i(t) as shown in Figure P3–10. Determine and plot the voltage waveform v(t) as a function of time. The capacitor is initially a and plot the voltage waveform v(t) as a function of time. The capacitor is imu uncharged. FIGURE P3-10 ilt) 4 A 6. -4 Aarrow_forwardFind the equivalent inductance of the circuit in Figure Q3(a). Assume all inductors are 10 mH. a m L1arrow_forward
- If C1 = C2 = C3= 16 nF, calculate the equivalent capacitance, in nF, between points A and B in the diagram below. Give your answer to two significant figures. A. C₁ C₂ ... Barrow_forward3. A capacitor C. inductor L, and resistor R are connected in series with a switch (see the figure). The capacitor is charged by connecting it across a battery with emf &. The battery is disconnected, and then the switch is closed. Find the current in the circuit as a function of time after the switch is closed. L O R PROBLEM 3 Earrow_forwardA constant voltage of 10 V is applied to a 50-μH inductance, as shown in Figure P3.51. The current in the inductance at t=0 is -100 mA. At what t x time does the current reach +100 mA?arrow_forward
- Ans all . Will give you upvote...arrow_forwardA resistor of resistance 20 ohms is in series with an inductor of inductance 2H. At t = 0, it is suddenly connected to a dc source voltage of 50V. Determine the current in the circuit at any time t. Determine the current and the voltages across each element at t = 15ms.arrow_forwardHelp me solve thisarrow_forward
- In the figure R1 When the switch is opened after having been closed for a long time, the current in the inductor drops from 1.00 A to 0.250 A in 0.200 s. What is the inductance of the inductor in mH? = 4.00 N , and R2 = 1.00 N. The inductor is ideal. %3D Şekildeki devrede R1 = 4.00 N , ve R2 = 1.00 N olarak verilmişlerdir. Solenoidin iç direnci yoktur. Anahtar uzun süre sonra kapalı kaldıktan sonra açılırsa solenoidden geçen akım 0,200 s içinde 1,00 A değerinden 0,250 A değerine düşmektedir. Solenoidin indüktansı mH cinsinden nedir? R1 S R2 L learrow_forwardAn inductor is "charged" to some value, then connected in series with a 1002 resistor and allowed to "discharge". A measurement of the potential difference across the resistor is shown in the figure below. Compute the time constant of the circuit, the inductance of the inductor, and the initial current through the inductor. 12 10 8 6 Potential across resistor (V) 2 0 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 time (s)arrow_forwardConsider three charged capacitors connected as shown in the figure where C1=6 µF ,C2=2 µF, and C3=3 µF. The charge on C1 is Q1= 30 µC. Find the charge Q3 (in µC) on C3. C2 C3arrow_forward
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