GATE EE 2026 Set 1 — Question 48
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Power Electronics → DC-DC Converters → Boost Converter
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Question
Consider the boost converter circuit shown. Assume that the semiconductor devices are ideal. In steady state, the inductor current rises linearly from to in the first and then falls linearly from to in the next of every switching cycle as shown. The load resistance is and the capacitance is .
Neglect the ripple in the output voltage. What is the input voltage ?
Correct answer
(C) 7.5 V
Solution
Step 1 - identify the modeThe inductor current starts from A, peaks at A at and returns to A at , so the converter works at the boundary of continuous conduction withStep 2 - average load currentIn a boost converter the diode carries the inductor current only during , and (the output ripple being negligible) all of its average flows into the load:Step 3 - output voltageStep 4 - volt-second balance on the inductor(The same result follows from with : V.)Answer: (C) V
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