Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Chapter 14, Problem 14.20P
(a)
To determine
Low frequency closed loop gain,
Bandwidth,
(b)
To determine
Range of low frequency closed loop gain,
Range of bandwidth,
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
www
13
F
5 Ω it (t)
www
vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 14 Solutions
Microelectronics: Circuit Analysis and Design
Ch. 14 - Using the circuit and transistor parameters of...Ch. 14 - Prob. 14.2TYUCh. 14 - Prob. 14.1EPCh. 14 - Determine the closedloop input resistance at the...Ch. 14 - For a noninverting amplifier, the resistances are...Ch. 14 - An opamp with an openloop gain of AOL=105 is used...Ch. 14 - Prob. 14.3TYUCh. 14 - An operational amplifier connected in a...Ch. 14 - Prob. 14.5TYUCh. 14 - Prob. 14.6TYU
Ch. 14 - Find the closedloop input resistance of a voltage...Ch. 14 - An opamp with openloop parameters of AOL=2105 and...Ch. 14 - A 0.5 V input step function is applied at t=0 to a...Ch. 14 - The slew rate of the 741 opamp is 0.63V/s ....Ch. 14 - Prob. 14.8TYUCh. 14 - Prob. 14.8EPCh. 14 - Consider the active load bipolar duffamp stage in...Ch. 14 - Prob. 14.10EPCh. 14 - Prob. 14.11EPCh. 14 - Prob. 14.12EPCh. 14 - For the opamp circuit shown in Figure 14.28, the...Ch. 14 - Prob. 14.9TYUCh. 14 - List and describe five practical opamp parameters...Ch. 14 - What is atypical value of openloop, lowfrequency...Ch. 14 - Prob. 3RQCh. 14 - Prob. 4RQCh. 14 - Prob. 5RQCh. 14 - Prob. 6RQCh. 14 - Describe the gainbandwidth product property of a...Ch. 14 - Define slew rate and define fullpower bandwidth.Ch. 14 - Prob. 9RQCh. 14 - What is one cause of an offset voltage in the...Ch. 14 - Prob. 11RQCh. 14 - Prob. 12RQCh. 14 - Prob. 13RQCh. 14 - Prob. 14RQCh. 14 - Prob. 15RQCh. 14 - Prob. 16RQCh. 14 - Prob. 17RQCh. 14 - Prob. 14.1PCh. 14 - Consider the opamp described in Problem 14.1. In...Ch. 14 - Data in the following table were taken for several...Ch. 14 - Prob. 14.4PCh. 14 - Prob. 14.5PCh. 14 - Prob. 14.6PCh. 14 - Prob. 14.7PCh. 14 - Prob. 14.8PCh. 14 - An inverting amplifier is fabricated using 0.1...Ch. 14 - For the opamp used in the inverting amplifier...Ch. 14 - Prob. 14.11PCh. 14 - Consider the two inverting amplifiers in cascade...Ch. 14 - The noninverting amplifier in Figure P14.13 has an...Ch. 14 - For the opamp in the voltage follower circuit in...Ch. 14 - The summing amplifier in Figure P14.15 has an...Ch. 14 - Prob. 14.16PCh. 14 - Prob. 14.18PCh. 14 - Prob. 14.19PCh. 14 - Prob. 14.20PCh. 14 - Prob. 14.21PCh. 14 - Prob. 14.22PCh. 14 - Three inverting amplifiers, each with R2=150k and...Ch. 14 - Prob. 14.24PCh. 14 - Prob. 14.25PCh. 14 - Prob. 14.26PCh. 14 - Prob. 14.27PCh. 14 - Prob. D14.28PCh. 14 - Prob. 14.29PCh. 14 - Prob. 14.30PCh. 14 - Prob. 14.31PCh. 14 - Prob. 14.32PCh. 14 - Prob. 14.33PCh. 14 - Prob. 14.34PCh. 14 - Prob. 14.35PCh. 14 - Prob. 14.36PCh. 14 - Prob. 14.37PCh. 14 - In the circuit in Figure P14.38, the offset...Ch. 14 - Prob. 14.39PCh. 14 - Prob. 14.40PCh. 14 - Prob. 14.41PCh. 14 - Prob. 14.42PCh. 14 - Prob. 14.43PCh. 14 - Prob. 14.44PCh. 14 - Prob. 14.46PCh. 14 - Prob. D14.47PCh. 14 - Prob. 14.48PCh. 14 - Prob. 14.50PCh. 14 - Prob. 14.51PCh. 14 - Prob. D14.52PCh. 14 - Prob. D14.53PCh. 14 - Prob. 14.55PCh. 14 - Prob. 14.56PCh. 14 - Prob. 14.57PCh. 14 - The opamp in the difference amplifier...Ch. 14 - Prob. 14.61P
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