An alternating current at any instant is given by . The rms value of the current is A

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Solution

Q.
An alternating current at any instant is given by $i = [6 + \sqrt{56} \sin (100 π t + \frac{π}{3})] A$ . The rms value of the current is _______ A [2024]

Ans.
(8) $If i = a + b \sin (ω t + θ)$

$i_{rms} = \sqrt{a^{2} + \frac{b^{2}}{2}}$

$∴ i_{rms} = \sqrt{36 + \frac{56}{2}}$

$= \sqrt{36 + 28} = \sqrt{64} = 8 A$

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