A half-wave rectifier is designed using a diode and a resistor. The diode will burn out if it remains ON for more than 10 μs. What is the minimum input frequency required for safe operation?

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  1. 1 MHz
  2. 20 kHz
  3. 100 kHz
  4. 50 kHz

Answer (Detailed Solution Below)

Option 4 : 50 kHz
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Detailed Solution

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Concept:

A half-wave rectifier conducts only during the positive half-cycle of the input AC signal. The diode must not remain ON for more than a specified time to prevent burnout.

Given Constraint:

The diode must not remain ON for more than 10 μs during each cycle.

Key Formula:

The conduction time of the diode in a half-wave rectifier is half the time period of the input signal:

where  (time period of the input signal).

Calculation:

Given the diode's maximum safe conduction time:

Substituting  

Conclusion:

The minimum input frequency required to ensure the diode does not exceed its safe conduction time is 50 kHz.

Final Answer: 4) 50 kHz 

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