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In a circuit, current is given as i = √42 sin (4t/T) + 10. Find rms current in circuit?

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In a circuit, current is given as i = √42 sin (4t/T) + 10. Find rms current in circuit?

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i2 = 42 \(sin^2(\frac{4t}{T})\) + 100 + \(2 \sqrt{42}sin (\frac{4t}{T})\)

i2 = \(\frac{42}{2} + 100\); 

\(i_{rms} = \sqrt{i^2}\) = \(\sqrt{121}\) = 11

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