An ac is given by equation I = I 1 cos ω t + I 2 sin ω t. The rms value of current is…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

An ac is given by equation I = I1 cos ωt + I2 sin ωt. The rms value of current is given by :
  1. \(\frac{\mathrm{I}_{1}+\mathrm{I}_{2}}{2}\)
  2. \(\frac{\left(\mathrm{I}_{1}+\mathrm{I}_{2}\right)^{2}}{\sqrt{2}}\)
  3. \(\frac{1}{\sqrt{2}} \sqrt{I_{1}^{2}+I_{2}^{2}}\)
  4. \(\frac{\mathrm{I}_{1}^{2}+\mathrm{I}_{2}^{2}}{2}\)

Answer

(C) 1 2 I_ 1 ^ 2 +I_ 2 ^ 2

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