Discussion
The critical inductance in mains power supply ensures that the current through 'L' never becomes zero. For this, critical value of inductance is
Answer: D
For a full-wave rectifier with an inductor input filter the critical inductance is \(R_L/3\omega\), which is \(R_L/942\) for a 50 Hz supply (option D).
\[ L_c = \frac{R_L}{3\omega} \]
\[ L_c = \frac{R_L}{3 \times 2\pi \times 50} \]
\[ L_c = \frac{R_L}{942} \]
The other options, \(R_L/310\), \(R_L/450\) and \(R_L/620\), do not come from this relation at 50 Hz; \(R_L/310\) is not a value of \(R_L/3\omega\) for any usual supply frequency.
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