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Question

Consider the circuit shown in the figure below :


The value of
gm=68 mA/V, rπ=1.45 kΩ and β=100, then the value of VoVm is equal to _____. (Assume that the small signal current through the feedback resistor of 10 kΩ is negligible).

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Solution

Drawing the small signal equivalent circuit we get


Rq=20lΩ||20kΩ||2kΩ=1.66kΩV0=1.66 kΩ×(Vπ14.5)=114.48 Vπ 9 Contribution by i1 is negligable)Vπ14.5=Im+68×103×VπVπ(114.568×103)=ImIm=Vπ1.035kΩVb=Vπ+V0=115.48 VpiRi=Vπim=115.48 vπVπ/1.035 k=120 kΩV0Vs=VbVs×V0vb=RiRi+Rs×114.48115.48.VπVπ=120120+10×114.48115.48=0.92 V/V

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