This question was previously asked in

DRDO EE 2008 Official Paper

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Option 2 : 1 / 2

__Concept:__

The circuit diagram of a boost converter is shown below.

Step Up or Boost converter is used to obtain the output voltage greater than the input voltage.

The relation between the output voltage and the input voltage is given by

\(Vo=\frac{{{V}_{s}}}{1-D}\)

Where D is the duty cycle of the chopper

__Calculation:__

Input voltage (VS) = 5 V

Average output voltage (Vo) = 10 V

\(10 = \frac{5}{{1 - D}}\)

\( \Rightarrow D = \frac{1}{2}\)

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