An alternating current is given by the equation $i = {i_1}\cos \,\omega \,t + {i_2}\sin \omega \,t$. The r.m.s. current is given by

  • A

    $\frac{1}{{\sqrt 2 }}({i_1} + {i_2})$

  • B

    $\frac{1}{{\sqrt 2 }}{({i_i} + {i_2})^2}$

  • C

    $\frac{1}{{\sqrt 2 }}{(i_1^2 + i_2^2)^{1/2}}$

  • D

    $\frac{1}{2}{(i_1^2 + i_2^2)^{1/2}}$

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