A boost converter has V_ in = 12,text V , V_ out = 48,text V at steady state. The theoretical duty cycle D is:

Home › MCQs › Electronics Engineering › Question #11708

Electronics Engineering QUESTION #11708

Question 1

A boost converter has $V_{in} = 12\,\text{V}$, $V_{out} = 48\,\text{V}$ at steady state. The theoretical duty cycle $D$ is:

$D = 0.25$
$D = 0.75$✔️
$D = 0.50$
$D = 0.80$

Correct Answer Explanation

For an ideal boost converter: $V_{out} = \dfrac{V_{in}}{1-D}$. Solving: $D = 1 - \dfrac{V_{in}}{V_{out}} = 1 - \dfrac{12}{48} = 1 - 0.25 = \mathbf{0.75}$. At $D = 0.75$, the switch is ON 75% of the period, storing energy in the inductor, then releasing it to the output during the 25% OFF time.

More Options