Question

find The RMS value of current from T= 0 to 3 = 2 pi by Omega if the current varies as i = Isin(OmegaT) ​

Answer 1

$\bold {\huge {Answer :-}}$

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$\normalsize\bold{\texttt{ irms is given by }}$

$\bf\Large\boxed{ i_{rms}=\sqrt{\int\limits_{0 }^{\frac{2\pi}{\omega}}\frac{I_m^2\:sin^2\omega\:tdt}{\frac{2\pi}{\omega}}}}$

$\bold{\Rightarrow \:i_{rms}=\sqrt{\frac{I_m^2}{2}}}$

$\bold{\Rightarrow \:i_{rms}=\frac{I_m}{\sqrt{2}}}$

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➛im = max current

➛irms = root mean square current

Note- a current that changes its direction periodically is called alternating current (AC).

If a current maintenance its DC constant is called direct current