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The equivalent input voltage seen by the ampli er is then ampli ed by a constant factor, A This is represented by the controlled voltage source Avin The controlled source appears in series with an internal resistor, Rout , denoting the internal (output) resistance of the ampli er Thus, the voltage presented to the load is vL = Avin RL Rout + RL (123)

or, substituting the equation for vin , vL = A RL Rin RS + Rin Rout + RL vS (124)

C# int[] numbers = {5, 10, 15}; int i = 0; do { Console.WriteLine(numbers[i]); //Shows 5 then 10 then 15 i++; } while (i < 3); In VB .NET, you can also put the While right after the Do keyword, but this makes the Do-While loop react like the standard While loop: VB .NET (Only) Dim numbers As Integer() = {5, 10, 15} Dim i As Integer = 0 Do While (i < 3) Console.WriteLine(numbers(i)) 'Shows 5 then 10 then 15 i = i + 1 Loop

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In other words, the load voltage is an ampli ed version of the source voltage Unfortunately, the ampli cation factor is now dependent on both the source and load impedances, and on the input and output resistance of the ampli er Thus, a given ampli er would perform differently with different loads or sources What are the desirable characteristics for a voltage ampli er that would make its performance relatively independent of source and load impedances Consider, once again, the expression for vin If the input resistance of the ampli er, Rin , were very large, the source voltage, vS , and the input voltage, vin , would be approximately equal: vin vS since

(125)

An analogy expresses the similarity of different things The word analogy is derived from the Greek words expressing geometric proportions or symmetries, ana logos, which can be translated as according to a ratio An analogy between different things depends on the presence of the same or similar attributes in the things being compared When we reason by analogy, we compare two things: a target and a source analog The target analog is the thing about which we wish to make a conclusion or a prediction The source analog is the thing whose similar attributes are used to make the conclusion or prediction For example, we might predict the likely duration of a journey based on a past journey that has very similar characteristics to the one being planned

(126)

By an analogous argument, it can also be seen that the desired output resistance for the ampli er, Rout , should be very small, since for an ampli er with Rout = 0, the load voltage would be vL = Avin (127)

Combining these two results, we can see that as Rin approaches in nity and Rout approaches zero, the ideal ampli er magni es the source voltage by a factor of A: vL = AvS (128)

The Do-Until Loop (VB .NET Only)

just as was indicated in the black box ampli er of Figure 122 Thus, two desirable characteristics for a general-purpose voltage ampli er are a very large input impedance and a very small output impedance In the next sections it will be shown how operational ampli ers provide these desired characteristics

An operational ampli er is an integrated circuit, that is, a large collection of individual electrical and electronic circuits integrated on a single silicon wafer

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