Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Chapter 10, Problem 6RQ
To determine
To sketch: AWidlar current source.
To explain: The operation of Widlar current source.
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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 10 Solutions
Microelectronics: Circuit Analysis and Design
Ch. 10 - The circuit parameters for the two-transistor...Ch. 10 - Consider the circuit shown in Figure 10.3. The...Ch. 10 - The parameters of the circuit shown in Figure 10.5...Ch. 10 - Consider the Widlar current source in Figure 10.9....Ch. 10 - Consider the circuit in Figure 10.10. Assume the...Ch. 10 - A Widlar current source is shown in Figure 10.9....Ch. 10 - Figure 10.12 shows the N-output current mirror....Ch. 10 - Prob. 10.1TYUCh. 10 - Prob. 10.2TYUCh. 10 - For the Wilson current source in Figure 10.8, the...
Ch. 10 - Prob. 10.4TYUCh. 10 - Prob. 10.8EPCh. 10 - Prob. 10.9EPCh. 10 - Consider the JFET circuit in Figure 10.24. The...Ch. 10 - Consider Design Example 10.8. Assume transistor...Ch. 10 - The bias voltages of the MOSFET current source in...Ch. 10 - Prob. 10.7TYUCh. 10 - All transistors in the MOSFET modified Wilson...Ch. 10 - A simple BJT amplifier with active load is shown...Ch. 10 - Prob. 10.9TYUCh. 10 - Prob. 10.10TYUCh. 10 - Prob. 10.11TYUCh. 10 - Prob. 10.12EPCh. 10 - For the circuit in Figure 10.40(a), the transistor...Ch. 10 - Prob. 10.12TYUCh. 10 - Repeat Example 10.12 for the case where a resistor...Ch. 10 - Prob. 10.14TYUCh. 10 - Prob. 1RQCh. 10 - Explain the significance of the output resistance...Ch. 10 - Prob. 3RQCh. 10 - Prob. 4RQCh. 10 - What is the primary advantage of a BJT cascode...Ch. 10 - Prob. 6RQCh. 10 - Can a piecewise linear model of the transistor be...Ch. 10 - Prob. 8RQCh. 10 - Sketch the basic MOSFET two-transistor current...Ch. 10 - Discuss the effect of mismatched transistors on...Ch. 10 - Prob. 11RQCh. 10 - Sketch a MOSFET cascode current source circuit and...Ch. 10 - Discuss the operation of an active load.Ch. 10 - What is the primary advantage of using an active...Ch. 10 - Prob. 15RQCh. 10 - What is the impedance seen looking into a simple...Ch. 10 - What is the advantage of using a cascode active...Ch. 10 - Prob. 10.1PCh. 10 - The matched transistors Q1 and Q2 in Figure...Ch. 10 - Prob. 10.3PCh. 10 - Reconsider the circuit in Figure 10.2(a). Let...Ch. 10 - Prob. 10.5PCh. 10 - The transistor and circuit parameters for the...Ch. 10 - The bias voltages in the circuit shown in Figure...Ch. 10 - Consider the current source in Figure 10.2(b). The...Ch. 10 - Prob. 10.9PCh. 10 - Prob. 10.10PCh. 10 - Prob. D10.11PCh. 10 - In the circuit in Figure P10.11, the transistor...Ch. 10 - Prob. D10.13PCh. 10 - Consider the circuit shown in Figure P 10.14. The...Ch. 10 - Design a basic two-transistor current...Ch. 10 - The values of for the transistors in Figure P10.16...Ch. 10 - Consider the circuit in Figure P10.17. The...Ch. 10 - All transistors in the N output current mirror in...Ch. 10 - Design a pnp version of the basic three-transistor...Ch. 10 - Prob. D10.20PCh. 10 - Consider the Wilson current source in Figure...Ch. 10 - Consider the circuit in Figure P10.22. The...Ch. 10 - Consider the Wilson current-source circuit shown...Ch. 10 - Consider the Widlar current source shown in Figure...Ch. 10 - Prob. 10.25PCh. 10 - Consider the circuit in Figure P10.26. Neglect...Ch. 10 - (a) For the Widlar current source shown in Figure...Ch. 10 - Consider the Widlar current source in Problem...Ch. 10 - (a) Design the Widlar current source such that...Ch. 10 - Design a Widlar current source to provide a bias...Ch. 10 - Design the Widlar current source shown in Figure...Ch. 10 - The circuit parameters of the Widlar current...Ch. 10 - Consider the Widlar current source in Figure 10.9....Ch. 10 - Consider the circuit in Figure P10.34. The...Ch. 10 - The modified Widlar current-source circuit shown...Ch. 10 - Consider the circuit in Figure P10.36. Neglect...Ch. 10 - Consider the Widlar current-source circuit with...Ch. 10 - Assume that all transistors in the circuit in...Ch. 10 - In the circuit in Figure P10.39, the transistor...Ch. 10 - Consider the circuit in Figure P10.39, with...Ch. 10 - Consider the circuit shown in Figure P10.41....Ch. 10 - For the circuit shown in Figure P 10.42, assume...Ch. 10 - Consider the circuit in Figure P10.43. The...Ch. 10 - Consider the MOSFET current-source circuit in...Ch. 10 - The MOSFET current-source circuit in Figure P10.44...Ch. 10 - Consider the basic two-transistor NMOS current...Ch. 10 - Prob. 10.47PCh. 10 - Consider the circuit shown in Figure P10.48. Let...Ch. 10 - Prob. 10.49PCh. 10 - The circuit parameters for the circuit shown in...Ch. 10 - Prob. 10.51PCh. 10 - Figure P10.52 is a PMOS version of the...Ch. 10 - The circuit shown in Figure P10.52 is biased at...Ch. 10 - The transistor circuit shown in Figure P10.54 is...Ch. 10 - Assume the circuit shown in Figure P10.54 is...Ch. 10 - The circuit in Figure P 10.56 is a PMOS version of...Ch. 10 - The transistors in Figure P10.56 have the same...Ch. 10 - Consider the NMOS cascode current source in Figure...Ch. 10 - Consider the NMOS current source in Figure P10.59....Ch. 10 - Prob. 10.60PCh. 10 - The transistors in the circuit shown in Figure...Ch. 10 - A Wilson current mirror is shown in Figure...Ch. 10 - Repeat Problem 10.62 for the modified Wilson...Ch. 10 - Prob. 10.64PCh. 10 - Prob. 10.65PCh. 10 - Prob. D10.66PCh. 10 - Prob. D10.67PCh. 10 - The parameters of the transistors in the circuit...Ch. 10 - Prob. 10.69PCh. 10 - Consider the circuit shown in Figure P10.70. The...Ch. 10 - Prob. 10.71PCh. 10 - Prob. D10.72PCh. 10 - Prob. 10.73PCh. 10 - Prob. D10.74PCh. 10 - Prob. 10.75PCh. 10 - For the circuit shown in Figure P10.76, the...Ch. 10 - Prob. 10.77PCh. 10 - Prob. 10.78PCh. 10 - The bias voltage of the MOSFET amplifier with...Ch. 10 - Prob. 10.80PCh. 10 - Prob. 10.81PCh. 10 - Prob. 10.82PCh. 10 - A BJT amplifier with active load is shown in...Ch. 10 - Prob. 10.84PCh. 10 - Prob. 10.85PCh. 10 - Prob. 10.86PCh. 10 - The parameters of the transistors in Figure P10.87...Ch. 10 - The parameters of the transistors in Figure P10.88...Ch. 10 - A BJT cascode amplifier with a cascode active load...Ch. 10 - Design a bipolar cascode amplifier with a cascode...Ch. 10 - Design a MOSFET cascode amplifier with a cascode...Ch. 10 - Design a generalized Widlar current source (Figure...Ch. 10 - The current source to be designed has the general...Ch. 10 - Designa PMOS version of the current source circuit...Ch. 10 - Consider Exercise TYU 10.10. Redesign the circuit...
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