An alternating current at any instant is give | vedclass

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(D) The given current is $i = I_{dc} + I_{ac} \sin(\omega t + \phi)$,where $I_{dc} = 6 \ A$ and the peak value of the alternating component is $I_m =

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$8$

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(D) The given current is $i = I_{dc} + I_{ac} \sin(\omega t + \phi)$,where $I_{dc} = 6 \ A$ and the peak value of the alternating component is $I_m = \sqrt{56} \ A$.The root mean square (rms) value of a composite current is given by the formula $I_{	ext{rms}} = \sqrt{I_{dc}^2 + \frac{I_m^2}{2}}$.Substituting the values:$I_{	ext{rms}} = \sqrt{6^2 + \frac{(\sqrt{56})^2}{2}}$$I_{	ext{rms}} = \sqrt{36 + \frac{56}{2}}$$I_{	ext{rms}} = \sqrt{36 + 28}$$I_{	ext{rms}} = \sqrt{64}$$I_{	ext{rms}} = 8 \ A$.

An alternating current at any instant is given by $i = [6 + \sqrt{56} \sin (100 \pi t + \frac{\pi}{3})] \ A$. The rms value of the current is . . . . . . . (in $A$)

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