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If you're referring to this Wikipedia page then the topology has a negative output. In that case, the problem as you have it stated in the OP, is misleading: it should be Vo=-20. With that, extract...
Answer
#1: Initial revision
by
a concerned citizen
·
2022-03-13T14:30:57Z (over 2 years ago)
If you're referring to this [Wikipedia page](https://en.wikipedia.org/wiki/Buck%E2%80%93boost_converter) then the topology has a negative output. In that case, the problem as you have it stated in the OP, is misleading: it should be Vo=**-20**. With that, extracting D will give:
$$D=\dfrac{V_{out}}{V_{out}-V_{in}}=\dfrac{-20}{-20-24}=0.4545$$
Sure enough, a quick check shows the confirmation:
