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An electrical circuit or network is
composed of elements such as resistors , inductors
,
and capacitors connected together in
some manner .If the network contains no energy
sources , such as
batteries
or electrical generators,it is known as a passive
the other hand, if
one
or
more
energy
sources
are
present
,
the
resultant
combination
is
an
active
network.
In
studying
the
behavior
of
an
electrical
network,we
are
interested
in
determining the voltages and currents
that exist within the circuit. Since a network is
composed of passive circuit elements,we
must first define the electrical characteristics
of these elements.
电路或电网络由以某种方式连接的
电阻器、电感器和电容器等元件组成。
如果网络不包含能源,如电池或发电机,那么就被
称作无源网络。换句话说,如
果存在一个或多个能源,那么组合的结果为有源网络。在研
究电网络的特性时,
我们感兴趣的是确定电路中的电压和电流。
因为网络由无源电路元件组成,
所以
必须首先定义这些元件的电
特性
.
In the case
of a resistor, the voltage-current relationship is
given by Ohm's law, which
ststes that
the voltage across the resistor is
equal to
the current
through the resistor
multiplied by the value of the
resistance. Mathematically, this is expressed as
u=iR
where u=voltage , V; i=current, A;
R=resistance Ω.
就电阻来说,电压
-
电流的关系由欧姆定律给出,欧姆定律指出:电阻两
端的电压等于电阻上流过的
电流乘以电阻值。在数学上表达为
: u=iR
(1-1A-
1)
式
中
u=
电压,伏特;
i
=
电流,安培;
R =
电阻,欧姆。
The voltage across a pure inductor is
defined by Faraday's law ,which states that the
voltage
across
the
inductor
is
proportional
to
the
rate
of
change
with
time
of
the
current
through the inductor. Thus we have u=Ldi/dt
where di/dt=rate of change
of
current ,A/s; L=inductance ,H.
纯电感电压由法拉第定律定义,
法拉第定律指出:
电感两端的电压正比于流过电
感的电流随时间的变化率。
因此可
得到:
U=Ldi/dt
式中
di/dt =
电流变化率,
p>
安
培
/
秒;
L =
感应系数,
享利。
The
voltage
developed
across
a
capacitor
is
proportional
to
the
electric
charge
q
accumulating on the plates of the
capacitor. Since the accumulation of charge may be
expressed as the summation, or integral
, of the
charge increments
dq, we have the
equation
u=1/c fdq
where the
capacitance C is the proportionality constant
relating
voltage
and
charge.
By
definition,
current
equals
the
rate
of
change
of
charge
with
time
and
is
expressed
as
i=dq/dt.
Thus
an
increment
of
charge
dq
is
equal
to
the
current multiplied by the corresponding
time increment, or dq=i dt.
电容两端建立的电压正比于电容两极板上积累的电荷
q
。因为电荷的积累可表
示为电荷增量
dq
p>
的和或积分,因此得到的等式为
u=
1/c
fdq
,式中电容量
C
是
与电压和电荷相关的比例常数。
由定义可知,
电流等于电荷随时间的变化率,
可<
/p>
表示为
i =
dq/dt
。因此电荷增量
dq
等于电流乘以相应的时间增量,或
dq = i
dt
,
那么等式
(1-1A-3)
可写为式中
C =
电容量,法拉。
A common method of analyzing an
electrical network is mesh or loop analysis. The
fundamental
law that is
applied in
this method is
Kirchhoff's
first
law, which states
that the
algebraic sun of the voltages around a closed loop
is 0 ,or , in any closed loop ,
the sum
of the voltage rises must equal the sum of the
voltage drops. Mesh analysis
consists
of
assuming
that
currents-termed
loop
currents-flow
in
each
loop
of
a
network ,algebraically
summing the voltage drops around each loop ,and
setting each
sum equal to 0.
分析电网络的一般方法是网孔分析法或回路分析法。
应用于此方法的基本定律是
基尔霍夫第一定律,
基尔霍夫第一定律指出:
一个闭合回路中的电压代数和为
0
,
换
句话说,
任一闭合回路中的电压升等于电压降。
网孔分析指的是
:
假设有一个
电流
——
即所谓的回路电流
——
流过电路中的每一个回
路,求每一个回路电压
降的代数和,并令其为
零
One
problem
with
electronic
devices
corresponding
to
the
generalized
amplifiers
is
that the gains, Au or Ai, depend upon
internal properties of the two-
port
system(u,β
,
Ri
,Ro,
etc).
This
makes
design
difficult
since
these
parameters
usually
vary
from
device
,as
well
as
with
temperature.
The
operational
amplifier,
or
Op-Amp,
is
designed
to
minimize
this
dependence
and
to
maximze
the
ease
of
design.
An
Op-Amp is an integrated circuit that
has many component parts such as resistors and
transistors
built
into
the
device.
At
this
point
we
will
make
no
attempt
to
describe
these inner
workings.
运算放大器像广义放大器这样的电子器件存在的一个问题就是它们
的增益
AU
或
AI
取决于双端口系统
(m
、
b
、
RI
、
Ro,
p>
等
)
的内部特性。器件之间参数的分散性<
/p>
和温度漂移给设计工作增加了难度。
设计运算放大器或
Op-Amp
的目的就是使它
尽可能的减少对其内
部参数的依赖性、
最大程度地简化设计工作。
运算放大器是
p>
一个集成电路,在它内部有许多电阻、晶体管等元件。就此而言,我们不再描述
这些元件的内部工作原理。
Integrated
circuit
technology
allows
construction
of
many
amplifier
circuits
on
a
single composite
集成电路技术使得在非常小的一块半导体材料的复合
“
芯片
”
上可以安装许
多放
大器电路。
The first law states that in normal Op-
Amp circuits we may assume that the voltage
difference between the input terminals
is zero, that is , U+=U-
第一个定律指出:在一般运算放大器电路中,可以假设输入
端间的电压为零,
也就是说
U+=U-
The second law states that
in normal Op-Amp circuits both of the input
currents may
be assumed to be zero:
I+=I-=0
第二个定律指出:
在一般运算放大器电路中,两个输入电流可被假定为零:
I+=I-=0
The
two-valued
variables
which
we
have
been
discussing
are
often
called
logical
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