How does a boost converter work?

As the figure below shows, when the MOSFET is ON, current mainly flows through the coil and the MOSFET.

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DC to DC Adjustable Step Up Boost Power Supply Converter

buck - How does a boost converter allow for a gain in output voltage by just switching the positions of the inductor and switch? - Electrical Engineering Stack Exchange

Applied Sciences, Free Full-Text

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Design Note 183: The LT1370: A 500kHz, 6A Monolithic Boost Converter