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

Options

A. 500
B. 1000
C. 1250
D. 50

Answer

To find the power gain of a common emitter amplifier, we can follow these steps:

### Step 1: Write down the given quantities
- Voltage Gain (Av) = 50
- Input Impedance (Ri) = 100 Ω
- Output Impedance (Ro) = 200 Ω

### Step 2: Calculate the resistance gain (Ar)
The resistance gain is defined as the ratio of the output impedance to the input impedance:
\[ Ar = \frac{Ro}{Ri} \]
Substituting the given values:
\[ Ar = \frac{200 \, \Omega}{100 \, \Omega} = 2 \]

### Step 3: Calculate the power gain (Ap)
The power gain can be calculated using the formula:
\[ Ap = Av^2 \times Ar \]
Substituting the known values:
\[ Ap = 50^2 \times 2 \]
Calculating \(50^2\):
\[ 50^2 = 2500 \]
Now substituting back into the power gain formula:
\[ Ap = 2500 \times 2 = 5000 \]

### Final Answer
The power gain of the amplifier is **5000**.

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