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

Options

A. 500
B. 1000
C. 1250
D. 100

Explanation

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

### Step 1: Understand the given parameters
- Voltage gain (Av) = 50
- Input impedance (Rin) = 100 Ω
- Output impedance (Rout) = 200 Ω

### Step 2: Calculate the current gain (β)
The current gain (β) can be calculated using the formula:
\[ \beta = \frac{A_v \cdot R_{out}}{R_{in}} \]
Substituting the values:
\[ \beta = \frac{50 \cdot 200}{100} \]
\[ \beta = \frac{10000}{100} = 100 \]

### Step 3: Calculate the power gain (Pg)
The power gain (Pg) can be calculated using the formula:
\[ P_g = A_v \cdot \beta \]
Substituting the values we have:
\[ P_g = 50 \cdot 100 = 5000 \]

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

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