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The electric current in a circuit is given by i=i0(t/toue) for some time. Calculate the rms current for the period t=0 to t=toue. here , the rms current is i0/root3..but normally we take rms current as i0/root2 , how we will where to take i0/root2 or i0/root3.??.is that so , that we take i0/root2 in sinusoidal functions only?? plzz , xplain...

The electric current in a circuit is given by i=i0(t/toue) for some time. Calculate the rms current for the period t=0 to t=toue.


here , the rms current is i0/root3..but normally we take rms current as i0/root2 , how we will where to take i0/root2 or i0/root3.??.is that so , that we take i0/root2 in sinusoidal functions only?? plzz , xplain...

Grade:11

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago
The mean square current is
i¯2i¯2=1τ=1τ∫τ0i20(t(τ)2dt=i20τ3∫τ0dt=i203∫0τi02(t(τ)2dt=i02τ3∫0τdt=i023
Thus, the rms current is
irms=i¯2−−√=i03–√

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