Question

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

Answer 1

Hey mate!!

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Impedance gain= output impedance / input impedance

→ Voltage gain = beeta × impedeance gain

→50 = beeta × 200/100

→ beeta = 25

Now,

Power gain = (beeta)² × impedeance gain

Power gain = 25 × 25 × 2

Power gain = 1250

Hope it helps!!

#Jaihind

Answer 2

Answer:

The power gain of the amplifiers is 1250.

Explanation:

Given that,

Voltage gain = 50

Input impedance = 100  ohm

Output impedance = 200 ohm

$A_{Z}=\dfrac{Z_{o}}{Z_{in}}$

Here,

$A_{Z}= Impedance\ gain$

$A_{Z}=\dfrac{200}{100}$

$A_{Z}=2$

We know the formula of voltage gain

$A_{v}=\beta\times A_{Z}$

$50=\beta\times2$

$\beta=25$

Now, The power gain is

$A_{p}=\beta^2\timesA_{Z}$

$A_{p}=25\times25\times2$

$A_{p}=1250$

Hence, The power gain of the amplifiers is 1250.