JEE Main & Advanced Sample Paper JEE Main - Mock Test - 18

  • question_answer
    A common emitter amplifier has a voltage gain of 50, an input impedance of \[100\Omega \]and an output impedance of \[200\Omega \]The power gain of the amplifier is

    A) 500      

    B) 1000

    C) 1250    

    D) 100

    Correct Answer: C

    Solution :

    [c] : AC power gain is ratio of change in output power to the change in input power. AC power gain \[=\frac{Change\text{ }in\text{ }output\text{ }power}{Change\text{ }in\text{ }input\text{ }power}=\frac{\Delta {{V}_{0}}\times \Delta {{I}_{c}}}{\Delta {{V}_{i}}\times \Delta {{I}_{b}}}\] \[=\left( \frac{\Delta {{V}_{0}}}{\Delta {{V}_{i}}} \right)\times \left( \frac{\Delta {{I}_{c}}}{\Delta {{I}_{b}}} \right)={{A}_{V}}\times {{\beta }_{AC}}\]where \[{{A}_{V}}\]is voltage gain and \[{{(\beta )}_{AC}}\]is AC current gain. Also, \[{{A}_{V}}={{\beta }_{AC}}\times \]resistance gain \[\left( \frac{{{R}_{0}}}{{{R}_{i}}} \right)\] Given,  \[{{A}_{V}}=50,{{R}_{0}}=200\Omega ,{{R}_{i}}=100\Omega \] Hence, \[50={{\beta }_{AC}}\times \frac{200}{100}\] \[\therefore \]\[{{\beta }_{AB}}=25\] Now, AC power gain \[={{A}_{C}}\times {{\beta }_{AC}}=50\times 25=1250\]


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