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Wave Optics

Question
CBSEENPH12039793

A p-n-p transistor is connected in a common emitter configuration in a given amplifier. A load resistance of 800 ohm is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192 ohm, the voltage gain and the power gain of the amplifier will respectively be,

  • 3.69,3.84

  • 4,4

  • 4,3.69

  • 4, 3.84

Solution

D.

4, 3.84

Given,
Resistance across load, RL = 800 ohm
Voltage drop across load, VL = 0.8 V
Input resistance of the circuit, Ri = 192 ohm
Collector current is given by,
straight I subscript straight C space equals space straight V subscript straight L over straight R subscript straight L equals fraction numerator 0.8 over denominator 800 end fraction equals 8 over 8000 equals 1 space mA
Therefore, Current amplification = fraction numerator Output space current over denominator Input space current end fraction
equals straight I subscript straight c over straight I subscript straight B equals 0.96
rightwards double arrow I subscript B space equals space fraction numerator 1 space m A over denominator 0.96 end fraction
Voltage gain, AV is,
straight V subscript straight L over straight V subscript in space equals space fraction numerator V subscript L over denominator I subscript B R subscript i end fraction
space space space space space space space equals space fraction numerator 0.8 space x space 0.96 over denominator 10 to the power of negative 3 end exponent space x space 192 end fraction
space space space space space space space equals space 4
rightwards double arrow space A subscript V space equals space 4
Power gain,
APfraction numerator straight I squared subscript straight C straight R subscript straight L over denominator straight I squared subscript straight B space straight R subscript straight i end fraction space equals space open parentheses I subscript C over I subscript B close parentheses squared. R subscript L over R subscript i space equals space left parenthesis 0.96 right parenthesis squared x 800 over 192
    = (0.96)2800 over 192
AP = 3.84

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