Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 3, Problem 62P
To determine
Find the current
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a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
=-7x1 + x2 + 5u1
dt
dx2
=-11x1+x3 + 2u1
dt
dx3
= -8x16u1
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
Question 2 (20 points)
a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
dt
=x1-
2x2
dx2
= 3x1 - 4x2
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
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Chapter 3 Solutions
Electric Circuits (10th Edition)
Ch. 3.2 - For the circuit shown, find (a) the voltage υ, (b)...Ch. 3.3 - Find the no-load value of υo in the circuit...Ch. 3.3 -
Find the value of R that will cause 4 A of...Ch. 3.4 - Use voltage division to determine the voltage υo...Ch. 3.5 - a. Find the current in the circuit shown.
b. If...Ch. 3.5 - Find the voltage υ across the 75 kΩ resistor in...Ch. 3.6 - The bridge circuit shown is balanced when R1 = 100...Ch. 3.7 - Use a Y-to-Δ transformation to find the voltage υ...Ch. 3 - Prob. 1PCh. 3 - Find the power dissipated in each resistor in the...
Ch. 3 - For each of the circuits shown in Fig....Ch. 3 - For each of the circuits shown in Fig....Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Find the equivalent resistance Rab each of the...Ch. 3 - Prob. 9PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - In the voltage-divider circuit shown in Fig. P...Ch. 3 - The no-load voltage in the voltage-divider circuit...Ch. 3 - Assume the voltage divider in Fig. P3.14 has been...Ch. 3 - Find the power dissipated in the resistor in the 5...Ch. 3 - For the current-divider circuit in Fig. P3.19...Ch. 3 - Specify the resistors in the current-divider...Ch. 3 - There is often a need to produce more than one...Ch. 3 - Show that the current in the kth branch of the...Ch. 3 - Prob. 23PCh. 3 - Look at the circuit in Fig. P3.1 (d).
Use current...Ch. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Attach a 6 V voltage source between the terminals...Ch. 3 - Find the voltage x in the circuit in Fig. P3.28...Ch. 3 - Find υo in the circuit in Fig. P3.31 using voltage...Ch. 3 - Find υ1 and υ2 in the circuit in Fig. P3.30 using...Ch. 3 - Prob. 31PCh. 3 - For the circuit in Fig. P3.29, calculate i1 and i2...Ch. 3 - A d'Arsonval ammeter is shown in Fig....Ch. 3 - A shunt resistor and a 50 mV. 1 mA d’Arsonval...Ch. 3 - A d’Arsonval movement is rated at 2 mA and 200 mV....Ch. 3 - Prob. 36PCh. 3 - A d’Arsonval voltmeter is shown in Fig. P3.37....Ch. 3 - Suppose the d’Arsonval voltmeter described in...Ch. 3 - The ammeter in the circuit in Fig. P3. 39 has a...Ch. 3 - The ammeter described in Problem 3.39 is used to...Ch. 3 - The elements in the circuit in Fig2.24. have the...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - The voltmeter shown in Fig. P3.42 (a) has a...Ch. 3 - The voltage-divider circuit shown in Fig. P3.44 is...Ch. 3 - Assume in designing the multirange voltmeter shown...Ch. 3 - Prob. 47PCh. 3 - Design a d'Arsonval voltmeter that will have the...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Find the detector current id in the unbalanced...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the equivalent resistance Rab in the circuit...Ch. 3 - Use a Δ-to-Y transformation to find the voltages...Ch. 3 - Find the resistance seen by the ideal voltage...Ch. 3 - Prob. 61PCh. 3 - Find io and the power dissipated in the 140Ω...Ch. 3 - Prob. 63PCh. 3 - Show that the expressions for Δ conductances as...Ch. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - The design equations for the bridged-tee...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75P
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