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87 Determine which of the diodes in Figure 841 conducts for the following voltages (in V): (a) v1 = 0, v2 = 0; (b) v1 = 5, v2 = 5; (c) v1 = 0, v2 = 5; (d) v1 = 5, v2 = 0 Treat the diodes as ideal
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This section illustrates some of the applications of diodes to practical engineering circuits The nonlinear behavior of diodes, especially the recti cation property, makes these devices valuable in a number of applications In this section, more advanced recti er circuits (the full-wave recti er and the bridge recti er) will be explored, as well as limiter and peak detector circuits These circuits will be analyzed by making use of the circuit models developed in the preceding sections; as stated earlier, these models are more than adequate to develop an understanding of the operation of diode circuits In addition to the operation of diodes as recti ers and limiters, there is another useful class of applications that takes advantage of the reverse-breakdown characteristic of the semiconductor diode discussed in the opening section The phenomenon of Zener breakdown is exploited in a class of devices called Zener diodes, which enjoy the property of a sharp reverse-bias breakdown with relatively constant breakdown voltage These devices are used as voltage regulators, that is, to provide a nearly constant output (DC) voltage from a voltage source whose output might ordinarily uctuate substantially (for example, a recti ed sinusoid) The Full-Wave Recti er The half-wave recti er discussed earlier is one simple method of converting AC energy to DC energy The need for converting one form of electrical energy into the other arises frequently in practice The most readily available form of electric power is AC (the standard 110- or 220-V rms AC line power), but one frequently
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needs a DC power supply, for applications ranging from the control of certain types of electric motors to the operation of electronic circuits such as those discussed in s 8 through 14 You will have noticed that most consumer electronic circuits, from CD players to personal computers, require AC-DC power adapters The half-wave recti er, however, is not a very ef cient AC-DC conversion circuit, because it fails to utilize half the energy available in the AC waveform, by not conducting current during the negative half-cycle of the AC waveform The full-wave recti er shown in Figure 842 offers a substantial improvement in ef ciency over the half-wave recti er The rst section of the full-wave recti er circuit includes an AC source and a center-tapped transformer (see 7) with 1:2N turns ratio The purpose of the transformer is to obtain the desired voltage amplitude prior to recti cation Thus, if the peak amplitude of the AC source voltage is vS , the amplitude of the voltage across each half of the output side of the transformer will be N vS ; this scheme permits scaling the source voltage up or down (depending on whether N is greater or less than 1), according to the speci c requirements of the application In addition to scaling the source voltage, the transformer also isolates the recti er circuit from the AC source voltage, since there is no direct electrical connection between the input and output of a transformer (see 16) In the analysis of the full-wave recti er, the diodes will be treated as ideal, since in most cases the source voltage is the AC line voltage (110 V rms, 60 Hz) and therefore the offset voltage is negligible in comparison The key to the operation of the full-wave recti er is to note that during the positive half-cycle of vS , the top diode is forward-biased while the bottom diode is reverse-biased; therefore, the load current during the positive half-cycle is iL = i1 = N vS RL vS 0 (817)
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