Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 9, Problem 42E
To determine
Find value of
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47. Obtain an equation for vc as labeled in the circuit of Fig. 9.50 valid for all
t> 0.
t = 0
2i
+ VC
100 2
X.
40 µF
30 Ω
90 mH
I FIGURE 9.50
Vc(t) = -2.08e-1188.4986t
+ 10.48e-233.721t
The series RLC circuit of Figure Q3 contains a resistor
of R=200, an inductor of L=10mH and a capacitor of
C=600µF. The supply is 24V, 50HZ.
R
L
Vs
Figure Q3
Calculate:
The reactance of the inductor (XL) and the reactance of
the capacitor (Xc)
The impedance of the inductor and the impedance of
the capacitor
The total circuit impedance (magnitude and angle)
The total current in the circuit (magnitude and angle)
What is the power factor?
The current through a 20-mH inductor is shown in Fig. 9. Sketch the voltage across the inductor.
i(t) (A)
10
-10
0 1 2
Figure 9
3
4
Chapter 9 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 9.1 - A parallel RLC circuit contains a 100 2 resistor...Ch. 9.2 - After being open for a long time, the switch in...Ch. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.3 - (a) Choose R1 in the circuit of Fig. 9.14 so that...Ch. 9.4 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.6 - Let is = 10u(t) 20u(t) A in Fig. 9.31. Find (a)...Ch. 9.6 - Let vs = 10 + 20u(t) V in the circuit of Fig....
Ch. 9.7 - Alter the capacitor value and voltage source in...Ch. 9 - For a certain source-free parallel RLC circuit, R...Ch. 9 - Element values of 10 mF and 2 nH are employed in...Ch. 9 - If a parallel RLC circuit is constructed from...Ch. 9 - Prob. 4ECh. 9 - You go to construct the circuit in Exercise 1,...Ch. 9 - A parallel RLC circuit has inductance 2 mH and...Ch. 9 - Prob. 7ECh. 9 - A parallel RLC circuit has R = 1 k, L = 50 mH. and...Ch. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - The current flowing through a 5 resistor in a...Ch. 9 - For the circuit of Fig.9.40, obtain an expression...Ch. 9 - Consider the circuit depicted in Fig. 9.40. (a)...Ch. 9 - With regard to the circuit represented in Fig....Ch. 9 - (a) Assuming the passive sign convention, obtain...Ch. 9 - With regard to the circuit presented in Fig. 9.42,...Ch. 9 - Obtain expressions for the current i(t) and...Ch. 9 - FIGURE 9.43 Replace the 14 resistor in the...Ch. 9 - Design a complete source-free parallel RLC circuit...Ch. 9 - For the circuit represented by Fig. 9.44, the two...Ch. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - A critically damped parallel RLC circuit is...Ch. 9 - A source-free parallel RLC circuit has an initial...Ch. 9 - A critically damped parallel RLC circuit is...Ch. 9 - For the circuit of Fig. 9.45, is(t) = 30u(t) mA....Ch. 9 - Prob. 27ECh. 9 - The circuit of Fig. 9.44 is rebuilt such that the...Ch. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - The source-free circuit depicted in Fig. 9.1 is...Ch. 9 - (a) Graph the current i for the circuit described...Ch. 9 - Analyze the circuit described in Exercise 31 to...Ch. 9 - A source-free parallel RLC circuit has capacitance...Ch. 9 - Prob. 35ECh. 9 - Obtain an expression for vL(t), t 0, for the...Ch. 9 - For the circuit of Fig. 9.47, determine (a) the...Ch. 9 - (a) Design a parallel RLC circuit that provides a...Ch. 9 - The circuit depicted in Fig. 9.48 is just barely...Ch. 9 - When constructing the circuit of Fig. 9.48, you...Ch. 9 - The circuit of Fig. 9.22a is constructed with a...Ch. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - The simple three-element series RLC circuit of...Ch. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - With reference to the series RLC circuit of Fig....Ch. 9 - Obtain an expression for i1 as labeled in Fig....Ch. 9 - The circuit in Fig. 9.52 has the switch in...Ch. 9 - For the circuit in Fig. 9.52, determine the value...Ch. 9 - In the series circuit of Fig. 9.53, set R = 1 ....Ch. 9 - Evaluate the derivative of each current and...Ch. 9 - Consider the circuit depicted in Fig. 9.55. If...Ch. 9 - Prob. 55ECh. 9 - In the circuit shown in Fig. 9.56, (a) obtain an...Ch. 9 - Prob. 57ECh. 9 - For the circuit represented in Fig. 9.57, (a)...Ch. 9 - FIGURE 9.57 Replace the 1 resistor in Fig. 9.57...Ch. 9 - A circuit has an inductive load of 2 H, a...Ch. 9 - (a) Adjust the value of the 3 resistor in the...Ch. 9 - Determine expressions for vC(t) and iL(t) in Fig....Ch. 9 - The capacitor in the LC circuit in Fig. 9.60 has...Ch. 9 - Suppose that the switch in the circuit in Fig....Ch. 9 - The capacitor in the circuit of Fig. 9.63 is set...Ch. 9 - The physical behavior of automotive suspension...Ch. 9 - A lossless LC circuit can be used to provide...
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- Problem #1 The circuit elements in the circuit are R =200 2, L = 50mH, and C = 0.2 µF. the initial inductor current is -45mA and the initial capacitor voltage is 15 V. a. Calculate the initial current in each branch of the circuit b. Find v(t) for tz0. c. Find iL(t) for t0. %3D + + iR Vo L Io Final Answer: a) i=-30mA b) v(t)=10e-5,000: +5e-20,000: V, t20 c) i=(-40e-5.000t_5 e-20,000:)mA, t20 Problem #2 The circuit elements in the circuit are R =250 0, L = 50mH, and C = 0.2 µF. the initial inductor current is -45mA and the initial capacitor voltage is 15 V. a. Find v(t) for t20. + Vo L Io R Final Answer: a) v(t)=(75000t+15)e-10,000 V, t20arrow_forwardObtain an equation for vc as labeled in the circuit of Fig. 9.48 valid for all t > 0. 1 = 0 2i + VC 100 2 40 μF 9 V 30 N 90 mH FIGURE 9.48 47. Vc(t) = -2.08e-1188.4986t + 10.48e-233.721t %3D ellarrow_forwardI am trouble understanding this circuit. Here, R= 25.0 ohms, L=30.0 mH and C=12.0µF. Additionally the amplitude and frequency of the source voltage are 20.0 V, and 500 Hz. a) I would like to find the impedance for the circuit and the amplitude of current. b) I would like to find the amplitude f voltage across the resistor, inductor, and capactitor. Any help and guidence would be greatly appreciated :)arrow_forward
- S:46) I just need the integral of the mutual inductance for these 3 problemsarrow_forwardObtain an equation for vc as labeled in the circuit of Fig. 9.48 valid for all t > 0. t = 0 2i + VC 100 Q 40 µF 9 V (* 30 Q 90 mH FIGURE 9.48arrow_forwardGiven That: Is=0.0098, R1=60000, R2=6000 0, L=16 H, C=2 F, The circuit shown below under dc conditions find the following: L ell Is R1 R2 the current in L The voltage across capacitorarrow_forward
- 9. A series RL circuit contains a 100 Q resistor and a 1.0 H inductor and is operating at a frequency of 60 Hz. If 3.0 V are across the resistor, calculate: a) the current in the inductor b) the inductive reactance XL c) the voltage across the inductor VL d) the source voltage Vs e) the phase angle between VR and Vsarrow_forwardSolve the circuit by obtaining the state equation. The initial condition voltage value of the capacitance element is VC (0) = 1Volt. R1 = R2 = R3 = R4 = 1Ω, E = 3Volt. State the core solution and the forced solution components in the solution you obtained. α=5, ß=6arrow_forwardWith reference to the figure below, sketch the inductor voltage, v, as a function of time, 0arrow_forwardFIGURE 9.45 27. The inductor in the circuit of Fig. 9.43 is changed such that the circuit response is now critically damped. (a) Determine the new inductor value. (b) Calculate the energy stored in both the inductor and the capacitor at t = 10 ms. 30 787arrow_forwardWhat capacitance is needed and the construction of the circuit if you need to filter AC signals above 2 kHz with a 16 Ω load? Present your circuit diagram with a solution by typing it in the field below or by attaching a photo of your calculations to supplement your provided diagram.arrow_forward2. A capacitor having a capacitance of 2.0 µF consists of two metal elec- trodes separated by an insulating spacer made of crystalline silicon. Silicon is a semiconductor, having a conductivity of 1.6x10-3 S/m and dielectric constant of 11.7. The capacitor is placed in a series with a 12 volt battery in a closed loop circuit. When steady state is reached, what is the charge on the capacitor, and what is the current in the circuit?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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