An ac current is represented as
$\mathrm{i}=5 \sqrt{2}+10 \cos \left(650 \pi \mathrm{t}+\frac{\pi}{6}\right) \mathrm{Amp}$
The r.m.s value of the current is

Question

An ac current is represented as $\mathrm{i}=5 \sqrt{2}+10 \cos \left(650 \pi \mathrm{t}+\frac{\pi}{6}\right) \mathrm{Amp}$ The r.m.s value of the current is

Aicharya · Accepted Answer

$i=5 \sqrt{2}+10 \cos \left(650 \pi t+\frac{\pi}{6}\right)$
$\mathrm{i}^2=50+100 \cos ^2\left(650 \pi \mathrm{t}+\frac{\pi}{6}\right)$
$+(2)(5 \sqrt{2})(10) \cos \left(650 \pi t+\frac{\pi}{6}\right)$
$\left\langle\mathrm{i}^2\right\rangle=50+\frac{100}{2}+0$
$\left. \lt \mathrm{i}^2\right\rangle=100$
$ \lt \mathrm{i} \gt =10 \mathrm{Amp}$

An ac current is represented as $\mathrm{i}=5 \sqrt{2}+10 \cos \left(650 \pi \mathrm{t}+\frac{\pi}{6}\right)…

Solution