With an ac input from 50 Hz power line, the ripple frequency is

Options

A. 50 Hz in the dc output of half wave as well as full wave rectifier
B. 100 Hz in the dc output of half wave as well as full wave rectifier
C. 50 Hz in the dc output of half wave and 100 Hz in dc output of full wave rectifier
D. 100 Hz in the dc output of half wave and 50 Hz in the dc output of full wave rectifier.

Answer

To determine the ripple frequency when given an AC input of 50 Hz, we need to analyze the behavior of both half-wave and full-wave rectifiers.

### Step-by-Step Solution:

1. **Understanding AC Input Frequency**:
- The given AC input frequency is 50 Hz. This means that the AC signal completes 50 cycles in one second.

2. **Half-Wave Rectification**:
- In a half-wave rectifier, only one half (positive or negative) of the AC waveform is allowed to pass through, while the other half is blocked.
- Therefore, for every cycle of the AC input (50 Hz), the half-wave rectifier produces one pulse of DC output.
- Thus, the ripple frequency for a half-wave rectifier is the same as the input frequency, which is **50 Hz**.

3. **Full-Wave Rectification**:
- In a full-wave rectifier, both halves of the AC waveform are utilized. The negative half is inverted to become positive.
- Consequently, for every cycle of the AC input (50 Hz), the full-wave rectifier produces two pulses of DC output (one for each half of the AC cycle).
- Therefore, the ripple frequency for a full-wave rectifier is double the input frequency, which is **100 Hz**.

4. **Conclusion**:
- For a half-wave rectifier, the ripple frequency is **50 Hz**.
- For a full-wave rectifier, the ripple frequency is **100 Hz**.

### Final Answer:
- **Ripple Frequency for Half-Wave Rectifier**: 50 Hz
- **Ripple Frequency for Full-Wave Rectifier**: 100 Hz