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An alternating current is given by \(I={I}_{A}\sin \omega t+{I}_{B}\cos \omega t\). The r.m.s current will be: [JEE Main…

Q1

An alternating current is given by \(I={I}_{A}\sin \omega t+{I}_{B}\cos \omega t\). The r.m.s current will be:

[JEE Main 2025, 24 Jan (Shift 1)]

a

\(\frac{\sqrt{{I}_{A}^{2}+{I}_{B}^{2}}}{2}\)

b

\(\frac{\left|{I}_{A}+{I}_{B}\right|}{\sqrt{2}}\)

c

\(\sqrt{{I}_{A}^{2}+{I}_{B}^{2}}\)

d

\(\sqrt{\frac{{I}_{A}^{2}+{I}_{B}^{2}}{2}}\)

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