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1、TextElectric CircuitThe diagram of Fig 1.1 illustrates the essential parts of an electric circuit,which consists,in its simplest form, of an energy source and an interconnected energy dissipation or conversion device,known as the load.A practical energy source may take one many forms, depending, for
2、 example,on/electro-chemical,electro-magnetic,thermo-electric,photo-electric.,principles,but for the purpose of circuit analysis only two idealized forms are recognized, to one of which all practical sources approximate, They are: the voltage source and the current source.The voltage source maintain
3、s a constant terminal voltage irrespective of the current supplied to the load. It is important to appreciate that the voltage may be a function of, for example, time, temperature, pressure etc. It is constant without respect to variation of load.The current source maintains a constant in the load i
4、rrespective of the terminal voltage-which, in this case, is determined by the magnitude of the load, As with the voltage source, the generated current may depend on many other factors, but its one essential attribute is its independence of load.The symbols used for these active devices are illustrat
5、ed in Fig 1.2 (a) and(b)。Also shown on the figure are the arbitrarily chosen positive directions of voltage and current. It should be noted that, conventionally, current flows through the source from the negative to the positive terminal.The transformation from these idealized sources to simulate th
6、e characteristics of real sources can be simply effected .The energy, w, expanded in moving a charge q through a potential difference (p.d.) is given by (1.1)hence (1.2)The rate of expenditure of energy is defined as the power p. Hence,in general the power is given by (1.3)and is measured in watts w
7、hen and i are in volts and amperes, respectively.If power p(t) is expanded for time T, the total energy expanded (or stored) is (1.4)By a method similar to that adopted for energy sources, the load-or passive element of a circuit-may be idealized and defined by its terminal voltage/current relations
8、hip. All practical passive devices possess energy dissipative properties, often accompanied by energy-storage properties so that three distinct idealized types are possible. (a)The resistance parameter:A circuit, which dissipates energy but stores none is said to consist solely of resistance. The pr
9、operty is defined by the relationship (1.5)Where R is the resistance in ohms if and are in volts and amperes, respectively, and Eq.1.5 is known as Ohms Law.The corresponding diagram is shown in Fig 1.3(a),which also shows the positive directions of p.d. and current. It should be noted that, unlike a
10、n active element, a passive element develops a potential difference in obedience to the current flow so that there is a fall of potential though the element in the direction of the current flow, For this reason the terminal p.d. Is called a potential drop-voltage drop. The element which possesses re
11、sistance is termed a resistor.The reciprocal of resistance is conductance designated by the symbol G. Thus, (1.6)the units of G being siemens,or reciprocal ohms.Hence,an alternative form of Ohms Law is: (1.7)The power dissipated,may be written in terms of resistance (or conductance) and voltage or c
12、urrent only;thus, (1.8)If, for example, the voltage applied is constant, i.e. U(t)=U, then (1.9) and the power is also independent of time.(b)The inductance parameter:A circuit is said to possess inductance if it able to store magnetic field energy. The property is defined by the relationship (1.10)Where L is the inductance, the units of which are henrys if and are in volts and amperes, respectively, and t is in seconds. A p.d. of
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