In a common emitter transistor transistor amplifier, the audio signal voltage across the collector is 3V. The resistance of collector is `3kΩ`. If current gain is 100 and the base resistance is `2kOmega`, the voltage and power gain of the amplifier are

Options

A. 200 and 1000
B. 15 and 200
C. 150 and 15000
D. 20 and 2000

Explanation

To solve the problem step by step, we need to find the voltage gain (Av) and the power gain (Ap) of the common emitter transistor amplifier.

### Step 1: Identify the given values
- Collector voltage (Vc) = 3V
- Collector resistance (Rc) = 3kΩ = 3000Ω
- Current gain (β) = 100
- Base resistance (Rb) = 2kΩ = 2000Ω

### Step 2: Calculate the voltage gain (Av)
The voltage gain (Av) in a common emitter amplifier can be calculated using the formula:
\[ Av = \beta \times \frac{Rc}{Rb} \]

Substituting the known values:
\[ Av = 100 \times \frac{3000}{2000} \]

### Step 3: Simplify the calculation
First, calculate the fraction:
\[ \frac{3000}{2000} = 1.5 \]

Now substitute this back into the equation for Av:
\[ Av = 100 \times 1.5 = 150 \]

### Step 4: Calculate the power gain (Ap)
The power gain (Ap) can be calculated using the formula:
\[ Ap = \beta \times Av \]

Substituting the values we have:
\[ Ap = 100 \times 150 \]

### Step 5: Simplify the calculation for power gain
\[ Ap = 15000 \]

### Conclusion
The voltage gain (Av) is 150 and the power gain (Ap) is 15000.

### Final Answer
- Voltage Gain (Av) = 150
- Power Gain (Ap) = 15000