ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Textbook Question
Chapter 6.5, Problem 6P
Assuming a finite open-loop gain (A), a finite input resistance (Ri), and zero output resistance (Ro), derive an expression for vout in terms of vin for the op amp circuit of Fig. 6.4.
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Students have asked these similar questions
Q2. Figure Q2 shows a block diagram with an input of C(s) and an output R(s).
a)
C(s)
K₁
R(s)
K2
1 + 5s
1+2s
Figure Q2. Block diagram of control system.
Simply the block diagram to get the transfer function of the system C(s)/R(s).
b)
What is the order of the system?
c)
What is the gain of the system?
d) Determine the values of K₁ and K₂ to obtain a natural frequency w of
0.5 rad/s and damping ratio of 0.4.
e) What is the rise time and overshoot of the system with a unit step input?
Q4.
a) A purely derivative controller (i.e. with a zero at the origin only) is defined
by an improper transfer function. Considering its asymptotic behaviour,
explain why a purely derivative controller is difficult to implement in
practice. Relate your explanation to the potential limitations on system
performance.
b) Discuss the potential issues faced by a control system with a large cut-off
frequency. Relate your discussion to the implications on system
performance.
c)
The transfer function of a lag compensator is given by
2
KPID(S) = 2.2++0.2s
S
By using the asymptotic approximation technique:
(i) Obtain the standard form and corner frequency for each individual
component of KPID(S).
(ii) Clearly describe the asymptotic behaviour of each individual
component of KPID(S).
Module Code: EN2058
Q1. a) List the advantages and disadvantages of a closed loop system compared to
an open loop system.
b)
c)
What is the procedure for designing a control system for a bread toaster?
An RC circuit is given in Figure Q1. vi(t) and v(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
vo(t)
R₁ =R2 = 10 k
R3 = 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
(iii) Assuming zero initial conditions, obtain the impulse and ramp responses
of the circuit from the step response derived in (ii). Sketching is not
needed.
Chapter 6 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 6.2 - Derive an expression for vout in terms of vin for...Ch. 6.2 - Prob. 2PCh. 6.3 - An historic bridge is showing signs of...Ch. 6.4 - Design a circuit that provides a 12 V output if a...Ch. 6.4 - Design a noninverting Schmitt trigger that that...Ch. 6.5 - Assuming a finite open-loop gain (A), a finite...Ch. 6.5 - Use SPICE to simulate a voltage follower using an...Ch. 6 - For the op amp circuit shown in Fig. 6.39,...Ch. 6 - FIGURE 6.39 Determine the power dissipated by a...Ch. 6 - For the circuit of Fig. 6.40, calculate vout if...
Ch. 6 - For the circuit in Fig. 6.40, find the values of...Ch. 6 - (a) Design a circuit which converts a voltage...Ch. 6 - Prob. 6ECh. 6 - For the circuit of Fig. 6.40, R1 = RL = 50 ....Ch. 6 - Prob. 8ECh. 6 - (a) Design a circuit using only a single op amp...Ch. 6 - Prob. 11ECh. 6 - Determine the output voltage v0 and the current...Ch. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Consider the amplifier circuit shown in Fig. 6.46....Ch. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Referring to Fig. 6.49, sketch vout as a function...Ch. 6 - Repeat Exercise 21 using a parameter sweep in...Ch. 6 - Obtain an expression for vout as labeled in the...Ch. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - Determine the value of Vout for the circuit in...Ch. 6 - Calculate V0 for the circuit in Fig. 6.55. FIGURE...Ch. 6 - Prob. 34ECh. 6 - The temperature alarm circuit in Fig. 6.56...Ch. 6 - Prob. 36ECh. 6 - For the circuit depicted in Fig. 6.57, sketch the...Ch. 6 - For the circuit depicted in Fig. 6.58, (a) sketch...Ch. 6 - For the circuit depicted in Fig. 6.59, sketch the...Ch. 6 - In digital logic applications, a +5 V signal...Ch. 6 - Using the temperature sensor in the circuit in...Ch. 6 - Examine the comparator Schmitt trigger circuit in...Ch. 6 - Design the circuit values for the single supply...Ch. 6 - For the instrumentation amplifier shown in Fig....Ch. 6 - A common application for instrumentation...Ch. 6 - (a) Employ the parameters listed in Table 6.3 for...Ch. 6 - Prob. 49ECh. 6 - For the circuit of Fig. 6.62, calculate the...Ch. 6 - Prob. 51ECh. 6 - FIGURE 6.63 (a) For the circuit of Fig. 6.63, if...Ch. 6 - The difference amplifier circuit in Fig. 6.32 has...Ch. 6 - Prob. 55ECh. 6 - Prob. 56ECh. 6 - Prob. 57ECh. 6 - Prob. 58ECh. 6 - Prob. 59ECh. 6 - Prob. 60ECh. 6 - A fountain outside a certain office building is...Ch. 6 - For the circuit of Fig. 6.44, let all resistor...
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