
Electric Circuits, Global Edition
10th Edition
ISBN: 9781292060545
Author: James W. Nilsson, Susan Riedel
Publisher: Pearson Education Limited
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Chapter 3, Problem 19P
To determine
Design a problem to find the value of resistors R1, R2, and R3 to meet the given design requirement.
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c)
An RC circuit is given in Figure Q1.1, where Vi(t) and Vo(t) are the input and
output voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change of Vi(t) applied to the circuit, derive the time
response of Vo(t) with this step change.
Vi(t)
C₁
Vo(1)
R₂ C2 C3 |
R = 20 ΚΩ = 50 ΚΩ
C=C2=C3=25 μF
Figure Q1.1. RC circuit.
c) An RC circuit is given in Figure Q1. vi(t) and vo (t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R₁ R2
v₁(t)
R3 C₁
v₁(t)
R₁ = R₂ = 10 k
R3
= 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
c)
A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii)
With a unit step change of Vi(t) applied to the circuit, derive the time
response of the circuit.
C₁ C₂
Vi(t)
Vo(1)
R₁ C₂
R-25 k C=C2=50 µF
Figure Q1.1. RC circuit.
Chapter 3 Solutions
Electric Circuits, Global 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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