To calculate the voltage gain of the common emitter amplifier, you can use the formula:
\[ \text{Voltage Gain (A_v)} = \frac{V_{\text{out}}}{V_{\text{in}}} \]
where:
- \( V_{\text{out}} \) is the output voltage,
- \( V_{\text{in}} \) is the input voltage.
From your question:
- The AC signal at the base (input voltage, \( V_{\text{in}} \)) = 600 mV = 0.6 V
- The output voltage (\( V_{\text{out}} \)) = 2.5 V
Now, substituting the values into the formula:
\[ A_v = \frac{2.5, \text{V}}{0.6, \text{V}} = \frac{2.5}{0.6} \approx 4.17 \]
The voltage gain of the amplifier is approximately 4.17.