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Output Capacitor Ripple

An ideal boost converter provides an average output voltage of 30 V to a load resistance of 50Ω from a 12 V dc source. For a peak-to-peak ripple less than one percent in capacitor voltage at switching frequency of 25 kHz, the minimum value of capacitance is
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Answer & Explanation
Correct AnswerA. 48 μF

Quick Explanation

For an ideal boost converter, D=1−Vin/Vo=1−12/30=0.6. During the switch ON interval the capacitor supplies the load, so approximately ΔVo/Vo=D/(R C fs). Imposing a peak-to-peak ripple below 1% gives the minimum capacitance corresponding to option A.

Formula / Key Relation

D=1−Vin/Vo; ΔVo/Vo≈D/(RCfs)
Output Capacitor Ripple explanatory diagram

Detailed Explanation

Correct Answer

A — 48 μF

Concept and Reasoning

For an ideal boost converter, D=1−Vin/Vo=1−12/30=0.6. During the switch ON interval the capacitor supplies the load, so approximately ΔVo/Vo=D/(R C fs). Imposing a peak-to-peak ripple below 1% gives the minimum capacitance corresponding to option A.

Calculation / Key Relation

D=1−Vin/Vo

ΔVo/Vo≈D/(RCfs)

Exam Takeaway

Boost ripple sizing: capacitor supports the load during switch ON time.

Common Mistake

Use the stated peak-to-peak ripple limit consistently; do not treat it as peak ripple.

Quick Trick

Boost ripple sizing: capacitor supports the load during switch ON time.

Common Mistake

Use the stated peak-to-peak ripple limit consistently; do not treat it as peak ripple.

Exam Tip

Boost ripple sizing: capacitor supports the load during switch ON time.

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