Concept:An inductor opposes changes in current by generating a self-induced back EMF (\( V_L = -L \frac{di}{dt} \)), smoothing out fluctuations in the rectified current delivered to the load.
Formula:$$X_L = 2\pi f L \quad (\text{High impedance to AC ripple, zero resistance to steady DC})$$
Solution:- The series inductor presents a high inductive reactance (\( X_L = 2\pi f L \)) to AC ripple frequencies, attenuating current fluctuations.
- It presents near-zero resistance to steady DC (\( f = 0 \)), allowing direct current to pass freely to the load.
Why other options are incorrect:- Option A: The filter smooths DC; it does not convert DC back into AC.
- Option B: The inductor presents high impedance to AC ripple, not zero resistance.
- Option D: Passive filters cannot step up DC voltages.
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