版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
1、第一章第一篇sectiongTwo variables u(t) and i (t) are the most basic concepts in an electric circuit, they characterize the various relati on shipsin an electriccircuitu(t)和i(t)这两个变量是电路中最基本的两个变量,它们刻划了电路的各种关 系。Charge and Curre ntTheconcept of electric charge is the underlyingprincipleforexplaining all elect
2、ricalphenomena. Also, the most basic quantity in anelectric circuit is the electric charge. Charge is an electrical property of the atomic particles of which matter con sists, measured in coulombs (C).电荷和电流电荷的概念是用来解释所有电气现象的基本概念。也即,电路中最基本 的量是电荷。电荷是构成物质的原子微粒的电气属性,它是以库仑为单位来度量的。We know from eleme ntary
3、physics that all matter is made of fun dame ntal building blocks known as atoms and that each atom consists of electrons, prot ons, and n eutr ons. We also know that the chargee on an electr on isnegative and equal in magnitude to 1.60210 x 10-19C, while a proton carries a positive charge of the sam
4、e magnitude as the electron. The presenee of equal numbers of protons and electrons leaves an atom neutrallycharged.我们从基础物理得知一切物质是由被称为原子的基本构造部分组成的, 并且每个原子是由电子,质子和中子组成的。我们还知道电子的电量是负的并且 在数值上等于1.602100 x 10-12C,而质子所带的正电量在数值上与电子相等。 质子和电子数量相同使得原子呈现电中性。We con sider the flow of electric charges. A unique f
5、eature of electric charge or electricity is the fact that it is mobile; that is, it can be transferred from one place to another, where it can be converted to another form of en ergy 让我们来考虑一下电荷的流动。电荷或电的特性是其运动的特性,也就是,它可以从一个地方被移送到另一个地方,在此它可以被转换成另外一种形式的能量。Whena con duct ing wire is conn ected to a batt
6、ery (a source of electromotive force), the charges are compelled to move; positive charges move in one directi on while n egative charges move in the opposite directio n. This motion of charges creates electric current. It is conventional to take the curre ntflow as the moveme nt of positive charges
7、, that is, opposite to the flow of negative charges, as Fig.l-1 illustrates. This convention was introduced by Benjamin Franklin (l706 l790), the American scientist and inven tor. Although we now know that curre nt in metallic con ductors is due to n egatively charged electr ons, we will follow the
8、uni versally accepted convention that current is the net flow of positive charges. Thus, Electric current is the time rate of charge, measured in amperes (A).Mathematically, the relati on ship among curre nti , charge q, and time tis当我们把一根导线连接到某一电池上时(一种电动势源),电荷被外力驱 使移动;正电荷朝一个方向移动而负电荷朝相反的方向移动。这种电荷的移动
9、产 生了电流。我们可以很方便地把电流看作是正电荷的移动, 也即,与负电荷的流 动方向相反,如图1 1所示。这一惯例是由美国科学家和发明家本杰明一富兰 克林引入的。虽然我们现在知道金属导体中的电流是由负电荷引起的,但我们将遵循通用的惯例,即把电流看作是正电荷的单纯的流动。 于是电流就是电荷的时 率,它是以安培为单位来度量的d。从数学上来说,电流 i、电荷q以及时间t之 间的关系是:i二竺二dti fThe charge transferredbetween time 10 and t is obtainedbyintegrating both sides of Eq. (1-1). We obt
10、ain从时间t0到时间t所移送的电荷可由方程(1 1)两边积分求得。我们算得:tqpidt(42)The way we define current as i in Eq. (1-1) suggests that current need not be a constant-valued function, charge can vary with time in several ways that may be represented by different kinds of mathematical functions 我们通过方程(1 1)定义电流的方式表明电流不必是一个恒值函数,电荷
11、可以不同的方式随时间而变化,这些不同的方式可用各种数学函数表达出来。电压,能量和功率To move the electro n in a con ductor in a particular directi onrequires some work or energy transfer.This work is performed by anexternal electromotive force (emf), typicallyrepresented by the batteryin Fig .l-1. This emf is also known as voltage or potenti
12、al differe nee.The voltage uab between twdq points a and b in ' an electric circuit is the energy (or work) needed to move a unit charge from a to b; mathematically 在导体中朝一个特定的方向移动电荷需要一些功或者能量的传递,这个功是由外部的电动势来完成的。图1 1所示的电池就是一个典型的例子。这种电动势也 被称为电压或电位差。电路中a、b两点间的电压等于从a到b移动单位电荷所 需的能量(或所需做的功)。数学表达式为:wher
13、e wis energy in joules (J) and q is charge in coulombs (C). The voltage uab is measured in volts (V), named in honor of the Italian physicistAlessa ndro Antonio Volta (1745l827), who inven ted the first voltaicbattery. Thus, Voltage (or potentialdifferenee) is the energy requiredto move a unit charg
14、e through an eleme nt, measured in volts (V).式中w是单位为焦耳的能量而q是单位为库仑的电荷。电压Uab是以伏特为单位 来度量的,它是为了纪念意大利物理学家 Alessandro Antonio Volta而命名的, 这位意大利物理学家发明了首个伏达电池。 于是电压(或电压差)等于将单位电 荷在元件中移动所需的能量,它是以伏特为单位来度量的。Fig.1-2 shows the voltage across an element (represented by a rectangular block ) conn ected to points a a
15、n d b. The plus (+) and minus (-) sig ns are used to defi ne refere nee direct ion or voltage polarity. Theuab can beinterpreted in two ways: point a is at a potential of uab volts higher than point b;the potential at point a with respect to point b is uab. It follows logically that in gen eral图1-2显
16、示了某个元件(用一个矩形框来表示)两端a、b之间的电压。正号(+ ) 和负号(一)被用来指明参考方向或电压的极性,Uab可以通过以下两种方法来解释。1)在Uab伏特的电位中a点电位高于b点,2) a点电位相对于b点而言 是Uab,通常在逻辑上遵循Uab = - UbaAlthough current and voltage are the two basic variables in an electric circuit, they are not sufficient by themselves. For practical purposes, we need to know power
17、and energy. To relate power and energy to voltage and current,we recallfrom physics that power is the time rate ofexpending or absorbing energy, measured in watts (W). We write this relati on ship as虽然电流和电压是电路的两个基本变量,但仅有它们两个是不够的。从实际应用来说,我们需要知道功率和能量。为了把功率和能量同电压、电流联系起来,我 们重温物理学中关于功率是消耗或吸收的能量的时率,它是以瓦特为
18、单位来度量的。我们把这个关系式写成:dwdtWhere p is power in watts (W),w is en ergy in joules (J), andt is timein seco nds (s). From Eq. (1-1), Eq. (1-3), and Eq. (1-5), it follows that 式中p是以瓦特为单位的功率,w是以焦耳为单位的能量,t是以秒为单位的时 间,从方程(1 1)、(1 3)和(1 5)可以推出p = ui馆Because u and i are gen erally function of time, the power p in
19、Eq. (1-6) is a time-varying quantity and is called the instantaneous power. The power absorbed or supplied by an eleme nt is the product of the voltage across the eleme nt and the curre nt through it. If the power has a plus sign, power is being delivered to or absorbed by the element. If, on the ot
20、her hand, the power has a minus sig n, power is being supplied by the eleme nt. But how do we know whe n the power has a n egative or a positivesign ?由于u和i通常是时间的函数,方程(1 6)中的功率p是个时间变量于是被称 为瞬时功率,某一元件吸收或提供的功率等于元件两端电压和通过它的电流的乘 积。如果这个功率的符号是正的,那么功率向元件释放或被元件吸收。另一方面, 如果功率的符号是负的,那么功率是由元件提供的。但我们如何得知何时功率为 正或为负
21、?Curre nt direct ion and voltage polarity play a major role in determ ining the sign of power. It is therefore important that we pay attentionto therelati on shipbetwee n curre nt i and voltage u in Fig.1-3(a). The voltagepolarityand curre nti direct ion must conform with those show n inFig.1-3(a)in
22、 order for the power to have a positive sign. This is knownas the passive sig n conven ti on. By the passive sig n conven ti on, curre nt en ters through the positive polarity of the voltage. In this case,p =ui or ui >0 implies that the element is absorbing power. However, if p = - ui or ui v 0,
23、as in Fig.1-3(b), the element is releasing or supplying power.在我们确定功率符号时,电流的方向和电压的极性起着主要的作用,这就是我们在分析图1 3 (a)所显示的电流i和电压u的关系时特别谨慎的重要原因。为 了使功率的符号为正,电压的极性和电流的方向必须与图1 3 (a)所示的一致。 这种情况被称为无源符号惯例,对于无源符号惯例来说,电流流进电压的正极。在这种情况下,p= ui或ui>0,表明元件是在吸收功率。而如果p= ui或ui<0, 如图1 3 (b)所示时,表明元件是在释放或提供功率。In fact, the l
24、aw of conservation of energy must be obeyed in any electric circuit.For this reason, the algebraic sum of power in a circuit, at anyin sta nt of time, must be zero事实上,在任何电路中必须遵循能量守恒定律。由于这个原因,任一电路中在任何瞬间功率的代数和必须等于零.二 p 0This aga in con firms the fact that the total power supplied to the circuit must b
25、alanee the total power absorbed. From Eq. (l-7), the energy absorbed or supplied by an element from timet 0 to time t is这再一次证明了提供给电路的功率必须与吸收的功率相平衡这一事实。从方程(17)可知,从时间t0到时间t被元件吸收或由元件提供的功率等于tw = t pdt门Section2An electric circuit is simply an interconnection of the elements. There are two types of eleme
26、nts found in electric circuits: passive eleme nts and active eleme nts. An active eleme nt is capable of gen erati ng en ergy while a passive element is not. Examples of passive elements are resistors, capacitors, and in ductors.The most importa nt active eleme nts are voltageor curre nt sources tha
27、t gen erally deliver power to the circuitconn ectedto them.电路仅仅是元件之间的相互结合。我们发现电路中存在有两种元件:无源元件和 有源元件。有源元件能够产生能量而无源元件却不能,无源元件有电阻、电容和 电感器等。最重要的有源元件是通常向与它们相连的电路释放能量的电压和电流 源。In depe ndent sourcesAn ideal independent source is an active element that provides a specified voltage or curre nt that is complet
28、ely in depe ndent of other circuit variables.An independent voltage source is a two-terminal element, such as a battery or a gen erator, which main tai ns a specified voltage betwee n its termi nals. The voltage is completely independent of the current through the element. The symbol for a voltage s
29、ource hav ingu volts across its termi nals is shown in Fig.1-4(a). The polarity is as shown, indicating that terminal a is u volts above terminal b. Thus if u > 0, then terminal a is at a higher potential than terminal b. The opposite is true, of course, if u < 0 一个理想的独立源是产生完全独立于其它电路变量的特定电压或电流
30、的有源元 件。一个独立电压源是一个二端口元件, 如一个电池或一台发电机, 它们在其端 部维持某个特定的电压。该电压完全独立于流过元件的电流,在其端部具有 u 伏电压的电压源的符号如图1 4 (a)所示,极性如图所示,它表明a端比b端 高u伏。如果u>0,那么a端的电位高于b端,当然,如果u<0,反之亦然。 In Fig.1-4(a), the voltage u may be time varying, or it may be constant, in which case we would probably label it U. Another symbol that is
31、often used for a constant voltage source, such as a battery with U volts across its terminals, is shown in Fig.1-4(b). In the case of constant sources we shall use Fig.1-4(a) and 1-4(b) interchangeably.在图1 4(a)中,电压u可以是随时间而变化,或者可以是恒定的,在这种情 况下我们可能把它标为U,对于恒定电压源我们通常使用另一种符号,例如在两 端只有U伏电压的电池组,如图1 4 (b)所示。在
32、恒定源的情况下我们可以交 替地使用于图1 4 (a)或图1 4 (b)Wemight observe at this point that the polarity marks on Fig.1-4(b) are redundant since the polarity could be defined by the positions of the longer and shorter lines.我们可能已经注意到这一点,即图1 4 (b)中的极性标号,是多余的因为我们 可以根据长天线的位置符,确定电池极性An independent current source is a two-ter
33、minal element through which a specified current flows. The current is completely independent of the voltage across the element. The symbol for an independent current source is shown in Fig.1-5, where i is the specified current. The direction of the current is indicated by the arrow 一个独立电流源是二端元件在两端之间
34、特定的电流流过, 该电流完全独立于元件 两端的电压,一个独立电流源的符合如图 15所示。图中 i 是特定电流,该电 流的方向由箭头标明Independent sources are usually meant to deliver power to the external circuit and not to absorb it. Thus if u is the voltage across the source and its current i is directed out of the positive terminal, then the source is delivering
35、 power, given by p = ui , to the external circuit. Otherwise it is absorbing power. For example, in Fig.1-6(a) the battery isdelivering 24 W to the external circuit. In Fig.1-6(b) the battery is absorbing 24 W, as would be the case when it is being charged.独立源通常指的是向外电路释放功率而非吸收功率,因此如果u是电源两端的电压而电流i直接从
36、其正端流出,那么该电源正在向对电路释放功率,由式p= ui算出。否则它就在吸收功率。例如图1 6(a)中电池正在向外电路释放功率 24w, 在图1 6 (b)中,电池就在充电情况,吸收功率 24w。Dependent sourcesAn ideal dependent (or controlled) source is an active element in which the source quantity is controlled by another voltage or current.Dependent sources are usually designated by diam
37、ond-shaped symbols, as shown in Fig.1-7Since the control of the dependent source is achieved by a voltage or current of someother element in the circuit, and the source can be voltage or current, it follows that there are four possible types of dependent sources, namely:( 1) A voltage-controlled voltage source (VCVS).( 2) A current-controlled voltage source (CCVS). ( 3) A volta
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 2025年绍兴货运资格证考题
- 智能制造设备共享合同(2篇)
- 2025年北京青年政治学院高职单招数学历年(2016-2024)频考点试题含答案解析
- 植物基因编辑效率提升-深度研究
- 2025年度二零二五年度煤矿工程承包与矿山废弃物综合利用合同
- 2025年度遗赠抚养权变更及赡养义务调整合同
- 2025年度股权占比协议书:XX人工智能技术研发项目合资合同
- 2025年度酒店消防应急照明及疏散指示系统维保合同
- 2025年度专业美容师聘用合同书
- 二零二五年度试用期劳动合同-2025年度清洁能源项目管理人员协议
- 2025年中国南方航空股份有限公司招聘笔试参考题库含答案解析
- 商务部发布《中国再生资源回收行业发展报告(2024)》
- 2025年福建新华发行(集团)限责任公司校园招聘高频重点提升(共500题)附带答案详解
- 江苏省驾校考试科目一考试题库
- 四川省成都市青羊区成都市石室联合中学2023-2024学年七上期末数学试题(解析版)
- 咨询公司绩效工资分配实施方案
- 2025新人教版英语七年级下单词表
- 中华护理学会团体标准-气管切开非机械通气患者气道护理
- 未成年入职免责协议书
- 光伏电站巡检专项方案
- 2024年山东省东营市中考数学试题 (原卷版)
评论
0/150
提交评论