vb.net barcode reader source code Figure 828 Comments: Once again, the offset diode model permits using the same analysis method in Software

Print QR Code in Software Figure 828 Comments: Once again, the offset diode model permits using the same analysis method

Figure 828 Comments: Once again, the offset diode model permits using the same analysis method
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that was developed for the ideal diode model
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Small-Signal Diode Models As one examines the diode i-v characteristic more closely, it becomes apparent that the short-circuit approximation is not adequate to represent the small-signal behavior of the diode The term small-signal behavior usually signi es the response of the diode to small time-varying signals that may be superimposed on the average diode current and voltage Figure 88 depicts a close-up view of a silicon
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Semiconductors and Diodes
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diode i-v curve From this gure, it should be apparent that the short-circuit approximation is not very accurate when a diode s behavior is viewed on an expanded scale To a rst-order approximation, however, the i-v characteristic resembles that of a resistor (ie, is linear) for voltages greater than the offset voltage Thus, it may be reasonable to model the diode as a resistor (instead of a short circuit) once it is conducting, to account for the slope of its i-v curve In the following discussion, the method of load-line analysis (which was introduced in 3) will be exploited to determine the small-signal resistance of a diode Consider the circuit of Figure 829, which represents the Th venin equivalent e circuit of an arbitrary linear resistive circuit connected to a diode Equations 813 and 814 describe the operation of the circuit: vT = iD RT + vD arises from application of KVL, and iD = I0 (eqvD /kT 1) (814) (813)
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is the diode equation (86) Although we have two equations in two unknowns, these cannot be solved analytically, since one of the equations contains vD in exponential form As discussed in 3, two methods exist for the solution of transcendental equations of this type: graphical and numerical In the present case, only the graphical solution shall be considered The graphical solution is best understood if we associate a curve in the iD -vD plane with each of the two preceding equations The diode equation gives rise to the familiar curve of Figure 88 The load-line equation, obtained by KVL, is the equation of a line with slope 1/R and ordinate intercept given by VT /RT iD = 1 1 vD + VT RT RT Load line equation (815)
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The superposition of these two curves gives rise to the plot of Figure 830, where the solution to the two equations is graphically found to be the pair of values (IQ , VQ ) The intersection of the two curves is called the quiescent (operating) point, or Q point The voltage vD = VQ and the current iD = IQ are the actual diode voltage and current when the diode is connected as in the circuit of Figure 829 Note that this method is also useful for circuits containing a larger number of elements, provided that we can represent these circuits by their Th venin equivalents, with e the diode appearing as the load
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RT + vD _ iD VT RT
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vT iD
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Q point (IQ, VQ)
Figure 829 Diode circuit for illustration of load-line analysis
VT vD
Figure 830 Graphical solution of equations 813 and 814
Part II
Electronics
F O C U S O N M E T H O D O L O G Y
Determining the Operating Point of a Diode 1 Reduce the circuit to a Th venin or Norton equivalent circuit with the e diode as the load 2 Write the load line equation (815) 3 Solve numerically two simultaneous equations in two unknowns (the load line equations and the diode equation) for the diode current and voltage Or 4 Solve graphically by nding the intersection of the diode curve (eg, from a data sheet) with the load line curve The intersection of the two curves is the diode operating point
F O C U S O N M E T H O D O L O G Y
Using Device Data Sheets One of the most important design tools available to engineers is the device data sheet In this box we illustrate the use of a device data sheet for the 1N400X diode This is a general-purpose recti er diode, designed to conduct average currents in the 10-A range Excerpts from the data sheet are shown below, with some words of explanation The complete data sheets can be found in the accompanying CD-ROM
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