Match the following

Currents | vedclass

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Question

(b) 1. rms value =$\frac{{{x_0}}}{{\sqrt 2 }}$

     2. ${x_0}\sin \omega t\cos \omega t = \frac{{{x_0}}}{2}\sin 2\omega t \Rightarro

Vedclass · Accepted Answer

$1. \,(ii),\, 2.\, (iii),\, 3.\, (i)$

Vedclass · Answer

(b) 1. rms value =$\frac{{{x_0}}}{{\sqrt 2 }}$

     2. ${x_0}\sin \omega t\cos \omega t = \frac{{{x_0}}}{2}\sin 2\omega t \Rightarrow rms\;value = \frac{{{x_0}}}{{2\sqrt 2 }}$

     3. ${x_0}\sin \omega t + {x_0}\cos \omega t \Rightarrow rms\;value = \sqrt {{{\left( {\frac{{{x_0}}}{{\sqrt 2 }}} \right)}^2} + {{\left( {\frac{{{x_0}}}{{\sqrt 2 }}} \right)}^2}} $

      $ = \sqrt {x_0^2} = {x_0}$

Match the following

Currents $r.m.s.$ values

(1)${x_0}\sin \omega \,t$ (i)$ x_0$

(2)${x_0}\sin \omega \,t\cos \omega \,t$ (ii)$\frac{{{x_0}}}{{\sqrt 2 }}$

(3)${x_0}\sin \omega \,t + {x_0}\cos \omega \,t$ (iii) $\frac{{{x_0}}}{{(2\sqrt 2 )}}$

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