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Electrostatic Potential And Capacitance

Question
CBSEENPH12040083
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A common emitter amplifier has a voltage gain of 50, an input impedance of 100 Ω and an output impedance of 200 Ω. The power gain of the amplifier is:

  • 500

  • 1000

  • 1250

  • 100

Solution

C.

1250

AC power gain is ratio of change in output power to the change in input power.
AC power gain
 equals space fraction numerator Change space in space output space power over denominator Change space in space input space power end fraction space equals space fraction numerator increment straight V subscript straight c space straight x increment straight i subscript straight c over denominator increment straight V subscript straight i space straight x space increment straight i subscript straight b end fraction space equals space open parentheses fraction numerator increment straight V subscript straight c over denominator increment straight V subscript straight i end fraction close parentheses space straight x space open parentheses fraction numerator increment straight i subscript straight c over denominator increment straight i subscript straight b end fraction close parentheses space equals space straight A subscript straight v space straight x space straight beta subscript Ac space straight x space resistance space gain space open parentheses straight R subscript straight o over straight R subscript straight i close parentheses Given comma space straight A subscript straight v space equals space 50 comma space straight R subscript straight o space equals space 200 space straight capital omega comma space straight R subscript straight i space equals space 100 space straight capital omega Hence comma space 50 space equals space straight beta subscript AC space straight x space 200 over 100 straight beta subscript AC space equals space 25 Now comma space AC space power space gain space equals space straight A subscript straight C space straight x space straight beta subscript AC space equals space 50 space straight x space 25 space equals space 1250

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