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An alternating current is given by the equation \(i={i}_{1}\sin \omega t+{i}_{2}\)\(\cos \omega t\). Then rms current wi…

Q1

An alternating current is given by the equation \(i={i}_{1}\sin \omega t+{i}_{2}\)\(\cos \omega t\). Then rms current will be:

[JEE Main 2021, 26 Feb (Shift 1)]

a

\(\frac{1}{\sqrt{2}}{\left({i}_{1}^{2}+{i}_{2}^{2}\right)}^{\frac{1}{2}}\)

b

\(\frac{1}{\sqrt{2}}{\left({i}_{1}+{i}_{2}\right)}^{2}\)

c

\(\frac{1}{\sqrt{2}}\left({i}_{2}+{i}_{2}\right)\)

d

\(\frac{1}{2}{\left({i}_{1}^{2}+{i}_{2}^{2}\right)}^{\frac{1}{2}}\)

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