In a common emitter amplifier, the voltage gain (\(A_v\)) is given by:
\[
A_v = \text{Current Gain} \times \frac{R_C}{R_B}
\]
Where:
- Current gain = 45
- \(R_C = 4.5 \, \text{k}\Omega\) (collector resistance)
- \(R_B = 900 \, \Omega\) (base resistance)
Now, substituting the values:
\[
A_v = 45 \times \frac{4.5 \times 10^3}{900}
\]
\[
A_v = 45 \times 5 = 225
\]
Thus, the voltage gain of the amplifier is 225.