The r.m.s. value of a current given by i = ( i _ 1 t + i _ 2 t ) is -

Physics · Class 12 · CBSE — Alternating Current

The r.m.s. value of a current given by \({i}=\left({i}_{1} \cos \omega {t}+{i}_{2} \sin \omega {t}\right)\) is -

  1. \(\frac{1}{\sqrt{2}}\left({i}_{1}+{i}_{2}\right)\)
  2. \(\frac{1}{\sqrt{2}}\left({i}_{1}-{i}_{2}\right)\)
  3. \(\frac{1}{\sqrt{2}} \sqrt{\left({i}_{1}^{2}+{i}_{2}^{2}\right)}\)
  4. \(\frac{1}{\sqrt{2}}\left({i}_{1}^{2}+{i}_{2}^{2}\right)\)

Answer

(C) 1 2 ( i _ 1 ^ 2 + i _ 2 ^ 2 )

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