1. Tardigrade
  2. Question
  3. Physics
  4. An A.C. is given by equation I = I1 cos ω t + I2 sin ω t. The r.m.s. value of current is given by

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An A.C. is given by equation $I = I_1\cos\,\omega t + I_2\,\sin \,\omega t$. The r.m.s. value of current is given by

Alternating Current

Solution:

$I=I_1\,\cos\,\omega t+I_2\,\sin\,\omega t+2I_1I_2\,\cos\,\omega\,t .\sin \,\omega t$
$I^2_1.\frac{1}{2}I^2_2.\frac{1}{2}+2I_1I_2\times 0; I_{rms}=\frac{(I^2_1+I^2_2)^{1/2}}{\sqrt{2}}$