Class B Amplifier Efficiency Calculation

This solution calculates the efficiency ($\eta$) of a Class B amplifier using the provided supply voltage ($V_{CC}$) and peak output voltage ($V_L(p)$).

Efficiency Formula for Class B Amplifier

The efficiency of a Class B amplifier is determined by the ratio of AC output power to DC input power. The formula derived from power calculations is:

$ \eta = \frac{\pi V_L(p)}{4 V_{CC}} $

Given Parameters

• Supply Voltage: $V_{CC} = 24$ V
• Peak Output Voltage: $V_L(p) = 6$ V

Calculation Steps

1. Substitute Values: Plug the given values into the efficiency formula.

   $ \eta = \frac{\pi \times 6 \text{ V}}{4 \times 24 \text{ V}} $

2. Simplify Expression: Reduce the fraction.

   $ \eta = \frac{6\pi}{96} $

   $ \eta = \frac{\pi}{16} $

3. Calculate Percentage: Convert the fraction to a decimal and then to a percentage.

   $ \eta \approx \frac{3.14159}{16} $

   $ \eta \approx 0.196349 $

   $ \eta \approx 19.63\% $

Conclusion

The calculated efficiency is approximately $19.63\%$. This matches option B.