Match the following: Currents r.m.s. | vedclass

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(B) $(1)$ For $x = x_0 \sin \omega t$,the $r.m.s.$ value is $I_{rms} = \frac{x_0}{\sqrt{2}}$. Thus,$(A 	o ii)$.$(2)$ For $x = x_0 \sin \omega t \cos

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$(A 	o ii), (B 	o iii), (C 	o i)$

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(B) $(1)$ For $x = x_0 \sin \omega t$,the $r.m.s.$ value is $I_{rms} = \frac{x_0}{\sqrt{2}}$. Thus,$(A 	o ii)$.$(2)$ For $x = x_0 \sin \omega t \cos \omega t = \frac{x_0}{2} \sin(2\omega t)$,the peak value is $\frac{x_0}{2}$. The $r.m.s.$ value is $\frac{x_0/2}{\sqrt{2}} = \frac{x_0}{2\sqrt{2}}$. Thus,$(B 	o iii)$.$(3)$ For $x = x_0 \sin \omega t + x_0 \cos \omega t = \sqrt{2} x_0 \sin(\omega t + \frac{\pi}{4})$,the peak value is $\sqrt{2} x_0$. The $r.m.s.$ value is $\frac{\sqrt{2} x_0}{\sqrt{2}} = x_0$. Thus,$(C 	o i)$.

Currents	$r.m.s.$ values
$(A) \ x_0 \sin \omega t$	$(i) \ x_0$
$(B) \ x_0 \sin \omega t \cos \omega t$	$(ii) \ \frac{x_0}{\sqrt{2}}$
$(C) \ x_0 \sin \omega t + x_0 \cos \omega t$	$(iii) \ \frac{x_0}{2\sqrt{2}}$

Match the following:

Currents $r.m.s.$ values

$(A) \ x_0 \sin \omega t$ $(i) \ x_0$

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

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

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Match the following:
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$(2) x_0 \sin \omega t \cos \omega t$ $(ii) \frac{x_0}{\sqrt{2}}$
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Match the following: Currents $r.m.s.$ values $(A) \ x_0 \sin \omega t$ $(i) \ x_0$ $(B) \ x_0 \sin \omega t \cos \omega t$ $(ii) \ \frac{x_0}{\sqrt{2}}$ $(C) \ x_0 \sin \omega t + x_0 \cos \omega t$ $(iii) \ \frac{x_0}{2\sqrt{2}}$