Question Number 154226 by mathocean1 last updated on 15/Sep/21
![Given i(t)=25cos(ωt) ; u(t)=50[1+(ωt)^(2/(2!)) +(ωt)^(4/(4!)) +(ωt)^(6/(6!)) +...] . (1/T)∫_0 ^T u(t)×i(t)dt=??? choose the correct answer: a. 225 b. 425 c. 625 d. an other one](https://www.tinkutara.com/question/Q154226.png)
$${Given}\:{i}\left({t}\right)=\mathrm{25}{cos}\left(\omega{t}\right)\:; \\ $$$${u}\left({t}\right)=\mathrm{50}\left[\mathrm{1}+\left(\omega{t}\right)^{\frac{\mathrm{2}}{\mathrm{2}!}} +\left(\omega{t}\right)^{\frac{\mathrm{4}}{\mathrm{4}!}} +\left(\omega{t}\right)^{\frac{\mathrm{6}}{\mathrm{6}!}} +…\right]\:. \\ $$$$\frac{\mathrm{1}}{{T}}\underset{\mathrm{0}} {\overset{{T}} {\int}}{u}\left({t}\right)×{i}\left({t}\right){dt}=??? \\ $$$${choose}\:{the}\:{correct}\:{answer}: \\ $$$${a}.\:\mathrm{225} \\ $$$${b}.\:\mathrm{425} \\ $$$${c}.\:\mathrm{625} \\ $$$${d}.\:{an}\:{other}\:{one} \\ $$