Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 2RQ
For Review Questions 8.1 and 8.2.
8.2 For the circuit in Fig. 8.58, the initial inductor current (at t = 0) is:
(a) 0 A
(b) 2 A
(c) 6 A
(d) 12 A
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8.9 The current in an RLC circuit is described by
di
+ 104 + 25i = 0
dt
If i(0) = 10 A and di(0)/dt = 0, find i(t) for t > 0.
8.10 The differential equation that describes the voltage
in an RLC network is
d'u
du
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dt
i2
dt
Given that v(0) = 0, dv(0)/dt = 10 V/s, obtain v(t).
8.25
A branch voltage in an RLC circuit is described by
d?v
dv
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dt2
dt
If the initial conditions are v(0) = 0 = dv(0)/dt,
find v(t).
%3D
Which of the following statements are true for an inductor? Select all the correct answers.
a) The current through it is proportional to the derivative of the voltage across it:
i is proportional to dv/dt
b) The voltage across it is proportional to the derivative of the current through it.
v is proportional to di/dt
c) It can be replaced with a short circuit when finding the DC response
d) It can be replaced with an open circuit when finding the DC response
e) When combined in series, they combine like resistors in series
f) When combined in series, they combine the same as resistors in parallel
g) When combined in parallel, they combine like resistors in series
h) When combined in parallel, they combine like resistors in parallel
i) The voltage across it can not change instantly
j) The current through it can not change instantly
Chapter 8 Solutions
Fundamentals of Electric Circuits
Ch. 8.2 - The switch in Fig. 8.4 was open for a long time...Ch. 8.2 - For the circuit in Fig. 8.7, find: (a) iL(0+),...Ch. 8.3 - If R = 10 , L = 5 H, and C = 2 mF in Fig. 8.8,...Ch. 8.3 - The circuit in Fig. 8.12 has reached steady state...Ch. 8.4 - In Fig. 8.13, let R = 2 , L = 0.4 H, C = 25 mF,...Ch. 8.4 - Refer to the circuit in Fig. 8.17. Find v(t) for t...Ch. 8.5 - Having been in position a for a long time, the...Ch. 8.6 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 8.7 - Determine v and i for t 0 in the circuit of Fig....Ch. 8.7 - For t 0, obtain v0(t) in the circuit of Fig....
Ch. 8.8 - In the op amp circuit shown in Fig. 8.34, vs =...Ch. 8.9 - Find i(t) using PSpice for 0 t 4 s if the pulse...Ch. 8.9 - Refer to the circuit in Fig. 8.21 (see Practice...Ch. 8.10 - Draw the dual circuit of the one in Fig. 8.46.Ch. 8.10 - For the circuit in Fig. 8.50, obtain the dual...Ch. 8.11 - In Fig. 8.52, find the capacitor voltage vC for t ...Ch. 8.11 - The output of a D/A converter is shown in Fig....Ch. 8 - For the circuit in Fig. 8.58, the capacitor...Ch. 8 - For Review Questions 8.1 and 8.2. 8.2For the...Ch. 8 - When a step input is applied to a second-order...Ch. 8 - If the roots of the characteristic equation of an...Ch. 8 - In a series RLC circuit, setting R = 0 will...Ch. 8 - Prob. 6RQCh. 8 - Refer to the series RLC circuit in Fig. 8.59. What...Ch. 8 - Consider the parallel RLC circuit in Fig. 8.60....Ch. 8 - Match the circuits in Fig. 8.61 with the following...Ch. 8 - Prob. 10RQCh. 8 - For the circuit in Fig. 8.62, find: (a)i(0+) and...Ch. 8 - Using Fig. 8.63, design a problem to help other...Ch. 8 - Refer to the circuit shown in Fig. 8.64....Ch. 8 - In the circuit of Fig. 8.65, find: (a) v(0+) and...Ch. 8 - Refer to the circuit in Fig. 8.66. Determine: (a)...Ch. 8 - In the circuit of Fig. 8.67, find: (a) vR(0+) and...Ch. 8 - A series RLC circuit has R = 20 k, L = 0.2 mH, and...Ch. 8 - Design a problem to help other students better...Ch. 8 - The current in an RLC circuit is described by...Ch. 8 - The differential equation that describes the...Ch. 8 - Prob. 11PCh. 8 - If R = 50 , L = 1.5 H, what value of C will make...Ch. 8 - For the circuit in Fig. 8.68, calculate the value...Ch. 8 - The switch in Fig. 8.69 moves from position A to...Ch. 8 - The responses of a series RLC circuit are...Ch. 8 - Find i(t) for t 0 in the circuit of Fig. 8.70....Ch. 8 - In the circuit of Fig. 8.71, the switch...Ch. 8 - Find the voltage across the capacitor as a...Ch. 8 - Obtain v(t) for t 0 in the circuit of Fig. 8.73....Ch. 8 - The switch in the circuit of Fig. 8.74 has been...Ch. 8 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 8 - Assuming R = 2 k, design a parallel RLC circuit...Ch. 8 - For the network in Fig. 8.76, what value of C is...Ch. 8 - The switch in Fig. 8.77 moves from position A to...Ch. 8 - Using Fig. 8.78, design a problem to help other...Ch. 8 - The step response of an RLC circuit is given by...Ch. 8 - Prob. 27PCh. 8 - A series RLC circuit is described by...Ch. 8 - Solve the following differential equations subject...Ch. 8 - Prob. 30PCh. 8 - Consider the circuit in Fig. 8.79. Find vL(0+) and...Ch. 8 - For the circuit in Fig. 8.80, find v(t) for t 0.Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.81.Ch. 8 - Calculate i(t) for t 0 in the circuit of Fig....Ch. 8 - Using Fig. 8.83, design a problem to help other...Ch. 8 - Obtain v(t) and i(t) for t 0 in the circuit of...Ch. 8 - For the network in Fig. 8.85, solve for i(t) for t...Ch. 8 - Refer to the circuit in Fig. 8.86. Calculate i(t)...Ch. 8 - Determine v(t) for t 0 in the circuit of Fig....Ch. 8 - The switch in the circuit of Fig. 8.88 is moved...Ch. 8 - For the network in Fig. 8.89, find i(t) for t 0....Ch. 8 - Given the network in Fig. 8.90, find v(t) for t ...Ch. 8 - The switch in Fig. 8.91 is opened at t = 0 after...Ch. 8 - A series RLC circuit has the following parameters:...Ch. 8 - In the circuit of Fig. 8.92, find v(t) and i(t)...Ch. 8 - Prob. 46PCh. 8 - Find the output voltage vo(t) in the circuit of...Ch. 8 - Given the circuit in Fig. 8.95, find i(t) and v(t)...Ch. 8 - Determine i(t) for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Fig. 8.97, find i(t) for t 0....Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.98....Ch. 8 - The step response of a parallel RLC circuit is...Ch. 8 - After being open for a day, the switch in the...Ch. 8 - Using Fig. 8.100, design a problem to help other...Ch. 8 - For the circuit in Fig. 8.101, find v(t) for t 0....Ch. 8 - In the circuit of Fig. 8.102, find i(t) for t 0....Ch. 8 - Given the circuit shown in Fig. 8.103, determine...Ch. 8 - In the circuit of Fig. 8.104, the switch has been...Ch. 8 - The switch in Fig. 8.105 has been in position 1...Ch. 8 - Obtain i1 and i2 for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Prob. 8.5, find i and v for t ...Ch. 8 - Find the response vR(t) for t 0 in the circuit of...Ch. 8 - For the op amp circuit in Fig. 8.108, find the...Ch. 8 - Using Fig. 8.109, design a problem to help other...Ch. 8 - Determine the differential equation for the op amp...Ch. 8 - Obtain the differential equations for vo(t) in the...Ch. 8 - In the op amp circuit of Fig. 8.112, determine...Ch. 8 - For the step function vs = u(t), use PSpice or...Ch. 8 - Given the source-free circuit in Fig. 8.114, use...Ch. 8 - For the circuit in Fig. 8.115, use PSpice or...Ch. 8 - Obtain v(t) for 0 t 4 s in the circuit of Fig....Ch. 8 - The switch in Fig. 8.117 has been in position 1...Ch. 8 - Design a problem, to be solved using PSpice or...Ch. 8 - Draw the dual of the circuit shown in Fig. 8.118.Ch. 8 - Obtain the dual of the circuit in Fig. 8.119.Ch. 8 - Find the dual of the circuii in Fig. 8.120.Ch. 8 - Draw the dual of the circuit in Fig. 8.121.Ch. 8 - An automobile airbag igniter is modeled by the...Ch. 8 - A load is modeled as a 100-mH inductor in parallel...Ch. 8 - A mechanical system is modeled by a series RLC...Ch. 8 - An oscillogram can be adequately modeled by a...Ch. 8 - The circuit in Fig. 8.123 is the electrical analog...Ch. 8 - Figure 8.124 shows a typical tunnel-diode...
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- 8.9 The current in an RLC circuit is described by d²i di + 10 + 25i = 0 dt dt2 If i (0) = 10 and di (0)/dt 0, find i (t) for t > 0.arrow_forwardSolve the followings: 1. 8.28 A series RLC circuit is described by d'i di i + - = 10 + R- dt dt Find the response when L = 0.5 H, R = 4 N, and C = 0.2 F. Let i(0) = 1, di(0)/dt = 0. %3D %3D %3D 2. 8.23 For the network in Fig. 8.76, what value of C is needed to make the response underdamped with unity damping factor (a = 1)? 10 Ω 20 mH C= 10 mFarrow_forwardSelect such state variables for the RLC circuit shown in the figure so that the system can be written in the form of state equations (x and y equations in the figure).arrow_forward
- Sketch the step response ofa) the capacitor voltage in an RLC circuitb) the level in a mercury thermometer dropped into a hot liquidarrow_forwardGive detailed discussion of different types of response For a parallel RLC circuit operating under initial conditions only and show Show how to determine solution constants from initial conditionsarrow_forwardPlease use Nodal Analysis to solve this problem please. For the following circuit assume it has been in this state for a very long time . Determine the energy stored in the inductor and the capacitor Wl and Wcarrow_forward
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- Electrical Engineering 7-17 In this circuit: tw || T R C + V₁ult) Volt) The circuit is in the zero state when the step function is applied. The circuit Parameters are R=47kr, C= 1 μF, L=250m H, and VA= SV. Find volt) for tzo, (Hint: Find the capacitor voltage first.)arrow_forward2. 8.23 For the network in Fig. 8.76, what value of C is needed to make the response underdamped with unity damping factor (a = 1)? 10 Ω 20 mH C= 10 mFarrow_forwardFor a parallel RLC circuit operating under initial conditions only: a) Give detailed discussion of different types of response. b) Show how to determine solution constants from initial conditions. c) Support your analysis with terminal voltage plot using numerical quantities on your choice. Hint: Use different values of R to clarify each response type for the same values of L and C for all cases. Please clarify chosen quantities in a Tablearrow_forward
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