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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
50
B
500
C
1000
D
1250
Detailed Solution
Voltage gain of a CE amplifier: $A_V = \beta\frac{R_{out}}{R_{in}}$, where $\beta = \frac{I_C}{I_B}$ is the current gain.
$50 = \beta\times\frac{200}{100}$
$\beta = \frac{50\times100}{200} = 25$
Power gain = voltage gain × current gain = $A_V\times\beta$
Power gain = $50\times25 = 1250$
$50 = \beta\times\frac{200}{100}$
$\beta = \frac{50\times100}{200} = 25$
Power gain = voltage gain × current gain = $A_V\times\beta$
Power gain = $50\times25 = 1250$