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AC Analysis of the Common-Emitter Ampli er To analyze the AC circuit of the common-emitter ampli er, we substitute the hybrid-parameter small-signal model of Figure 103 in the AC circuit of Figure 1010, obtaining the linear AC equivalent circuit of Figure 1020 Note how the emitter resistance is bypassed by the emitter capacitor at AC frequencies; this, in turn, implies that the base-to-emitter (BE) junction appears in parallel with the equivalent resistance RB = R1 R2 Similarly, the collector-to-emitter (CE) junction is replaced by the parallel combination of the controlled current source, hfe IB , with the resistance 1/ hoe Once again, since the DC supply provides a direct path to ground for the AC currents, the collector resistance appears in parallel with the load It is important to understand why we have de ned input and output voltages, vin and vout , rather than use the complete circuit containing the source, vS , its internal resistance, RS , and the load resistance, RL The AC circuit model is most useful if an equivalent input resistance and the equivalent output resistance and ampli er gain are de ned as quantities independent of the signal source and load properties This approach permits the computation of the parameters ri , ro , and shown in Figure 108, and therefore provides a circuit model that may be called upon for any source-and-load con guration The equivalent circuit shown in Figure 1020 allows viewing the transistor ampli er as a single equivalent circuit either from the source or from the load end, as will presently be illustrated

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iout + RC vout _

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Functional size represents the size of the functional requirements Functional size is an important input in software estimation, but it is only one of a number of required variables For a new development project, functional size is the size of all of the delivered or installed functionality (analogous to a building s floor plan) For an enhancement project, functional size is the total size of all functional requirements that are new, renovated (changed), or removed (deleted) from the software Nonfunctional requirements fall outside functional size The value adjustment factor (VAF) which is an optional step in the IFPUG (International Function Point Users Group) function point method is intended to address a portion of nonfunctional requirements3 According to industry experts including Barry Boehm (COCOMO II), Watts Humphrey (Software Engineering Institute), and Bill Perry (Quality Assurance Institute), the impact of nonfunctional requirements can double the effort required to develop software depending on the exact constraints involved

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Many programmers will place a further restriction on their program s data one that stops it from being changed while the program is running. These read-only data values are referred to as constants. The initial value of a constant must be set on the same line of code where you create the constant. Once your code is saved in either an .exe or .dll file, the value will always be the same each time the code is loaded into memory. It is a common programming convention to name your constants using all uppercase letters, making them easy to spot: VB .NET Const PI as Double = 3.14 C# const double PI = 3.14;

First, compute the AC input current, iin = vin hie RB vin hie (1019)

and the AC base current, IB = (1020)

noting, further, that the input resistance of the circuit consists of the parallel combination of hie and RB : ri = hie RB (1021)

Next, observe that the AC base current is ampli ed by a factor of hfe and that it ows through the parallel combination of the collector resistance, RC , and the CE junction resistance, 1/ hoe The latter term is often, but not always, negligible with respect to load and collector resistances, since the slope of the collector i-v curves is very shallow Thus, the AC short-circuit output current iout is given by the expression iout = hfe IB = hfe vin = gm vin hie (1022)