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CUET
Physics
Alternating Current
a
b
c
d
$ I = a sin\omega t$
$I_{rms} = \frac{\int_0^\frac{T}{2}{I^2dt}}{\frac{T}{2}} = \frac{\int_0^\frac{T}{2}{a^2 sin^2\omega t dt}}{\frac{T}{2}} = \frac{2a^2}{3}$
$I_{rms} = \frac{a\sqrt 2}{\sqrt 3}$