Question

please ans this question


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Answer 1

Answer :

$\implies\sf\:I= I_ocos\omega t$

$\implies\sf\:I_{av}=\:<I_ocos\omega t>$

$\displaystyle{\implies\sf\:I_{av}=I_0\:\dfrac{\int{cos\omega t\:dt}}{\int{dt}}}$

$\implies\sf\:I_{av}=I_o\:\dfrac{{\large [}\dfrac{sin\omega t}{\omega}{\large ]}_0^{\frac{\pi}{\omega}}}{[t]_0^{\frac{\pi}{\omega}}}$

$\implies\sf\:I_{av}=\dfrac{I_o}{\pi}\:[sin\omega(\frac{\pi}{\omega})-sin0]$

$\implies\sf\:I_{av}=\dfrac{I_o}{\pi}\:[sin\pi-sin0]$

$\implies\sf\:I_{av}=I_0\:[0-0]$

$\implies\:\boxed{\bf{\purple{I_{av}=0}}}$

Cheers!