Question #271677

rms value of i= 10 sinwt + 20 cos (wt + 30°)

1
Expert's answer
2021-12-02T20:19:58-0500

The rms value by definition

irms=1T0Ti2(t)dti_{\rm rms}=\sqrt{\frac{1}{T}\int_{0}^{T}i^2(t)dt}

0T(10sin(2πt/T)+20cos(2πt/T+30°))2dt\int_{0}^{T}(10\sin (2\pi t/T) + 20\cos (2\pi t/T + 30°))^2dt

=150T=150T

Finally

irms=150=12.2i_{\rm rms}=\sqrt{150}=12.2


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