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首页基础模拟和数字电路习题解答英文原版Anant Agarwal& Jeffrey H.Lang

基础模拟和数字电路习题解答英文原版Anant Agarwal& Jeffrey H.Lang

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本书通过介绍如何从麦克斯韦方程利用一系列简化假设直接得到集总电路抽象，在电气工程和物理间建立了清晰的联系。本书中始终使用抽象的概念，以统一在模拟和数字设计中所进行的工程简化。本书更为强调数字领域。第1章电路抽象第2章电阻网络第3章网络定理第4章非线性电路分析第5章数字抽象第6章 MOSFET开关第7章 MOSFET放大器第8章小信号模型第9章储能元件第10章线性电气网络的一阶暂态过程第11章数字电路的能量和功率第12章二阶电路的暂态过程第13章正弦稳态：阻抗和频率响应第14章正弦稳态：谐振第15章运算放大器抽象第16章二极管附录A 麦克斯韦方程和集总事物原则附录B 三角函数及其恒等式附录C 复数附录D 解联立线性方程组

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Foundations of Analog and Digital

Electronic Circuits

Solutions to Exercises and Problems

Anant Agarwal and Jeffrey H. Lang

Department of Electrical Engineering and Computer Science

Massachusetts Institute of Technology



1998 Anant Agarwal and Jeffrey H. Lang

July 3, 2005

Chapter 1

The Circuit Abstraction

Exercises

Exercise 1.1 Quartz heaters are rated according to the average power drawn from a 120

volt AC 60 Hz voltage source. Estimate the resistance (when operating) a 1200 watt

quartz heater.

NOTE: The voltage waveform for a 120 volt AC 60 Hz waveform is

 

The factor of





in the peak amplitude cancels when the average power is computed.

One result is that the peak amplitude of the voltage from a 120 volt wall outlet is about

170 volts.

Solution:

Power



watts

 "!#$&%'!( *)+

*)

; where



is average value of sinusoidal voltage,

- .!/0123

Average value of a sinusoidally oscillating signal is the peak value divided by





Therefore

4

(5





Therefore

( 6

CHAPTER 1. THE CIRCUIT ABSTRACTION

ANS::

(5-6

Exercise 1.2

a) The battery on your car has a rating stated in ampere-hours which permits you to es-

timate the length of time a fully charged battery could deliver any particular current

before discharge. Approximately how much energy is stored by a 50 ampere-hour

12 volt battery?

b) Assuming 100% efﬁcient energy conversion, how much water stored behind a 30

meter high hydroelectric dam would be required to charge the battery?

Solution:







. "!4











 '!  !   



# 



#"$&%'(*)



+,

02 

4 

/"0&%,12(

)



+34(







5"0&%,'6(7)



.+,4(

 

 !

8

/

9

0

;:



<5)



.+,

/ 

=





'@BA

"

+3-



b) Potential Energy

(DC

Electrical Energy; assume



efﬁciency





)

5

=





'@GA

3

.+3-H





 

=



?>JIKML

ON P

FQ

IK



)





'

, height of water, assuming that there is enough water in the dam such that

the height does not change as some of the water is taken out

"

 

GSUTVS



XW$

4

1YZ["



\

ANS:: (a)



=





Joules, (b) 7200 kg, or about 8 tons.

Exercise 1.3 In the circuit in Figure 1.1, R is a linear resistor and

 

^];_a`

a constant

(DC) voltage. What is the power dissipated in the resistor, in terms of

(

and

];_a`

Solution:







. ! 

But

  

<

(

(Ohm’s Law), so





.[

.



(

!4

],_a`

(

ANS::

ced

Figure 1.1:

Exercise 1.4 In the circuit of the previous exercise (Figure 1.1),

 

]



0





, a sinu-

soidal (AC) voltage with peak amplitude

]



and frequency



, in radians/sec.

a) What is the average power dissipated in R?

b) What is the relationship between

]D_a`

and

]



in Figure 1.1 when the average

power in

(

is the same for both waveforms?

Solution:

peak= =

Figure 1.2:

a) If peak voltage is

]



, then

]









X],_a`

where

]3_a`

is the average amplitude of the voltage signal.





e'"5











]



)





\



(



],_a`

(





]



`a<





(



]



(

b) If peak voltage is

]



, then

]









X],_a`

where

]3_a`

is the average amplitude of the voltage signal.

CHAPTER 1. THE CIRCUIT ABSTRACTION

ANS:: (a)

]



(

(b)

]









X],_a`

Problems

Problem 1.1 Determine the resistance of a cube with sides of length

cms and resistivity



Ohm-cms, when a pair of opposite surfaces are chosen as the terminals.

Problem 1.2 Sketch the





characteristic of a battery rated at 10V with an internal

resistance of 10 Ohms.

Problem 1.3 A battery rated at 7.2V and 10000 joules is connected across a lightbulb.

Assume that the internal resistance of the battery is zero. Further assume that the resis-

tance of the lightbulb is

 6

1. Draw the circuit containing the battery and the lightbulb and label the terminal

variables for the battery and the lightbulb according to the associated variables dis-

cipline.

2. What is the power into the lightbulb?

3. Determine the power into the battery.

4. Show that the sum of the power into the battery and the power into the bulb is zero.

5. How long will the battery last in the circuit?

Problem 1.4 A sinusoidal voltage source

4   







is connected across a 1k resistor.

1. Make a sketch of

 

, the instantaneous power supplied by the source.

2. Determine the average power supplied by the source.

3. Now, suppose that a square wave generator is used as the source. If the square wave

signal has a peak-to-peak of 20V and a zero average value, determine the average

power supplied by the source.

4. Next, if the square wave signal has a peak-to-peak of 20V and a 10V average value,

determine the average power supplied by the source.

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sciotech

2015-06-22

很好的书籍，帮助初学者

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基础模拟和数字电路习题解答英文原版Anant Agarwal& Jeffrey H.Lang

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