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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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

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

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

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

Similar Questions

An alternating current is given by $i = (3 \sin \omega t + 4 \cos \omega t) \ A$. The $rms$ current will be:

The a.c. source of e.m.f. with instantaneous value $e$ is given by $e = 200 \sin(50t) \text{ V}$. The r.m.s. value of current in a circuit of resistance $50 \ \Omega$ is: (in $\text{ A}$)

The frequency of $AC$ mains in India is ....... $Hz$.

If $i = t^2$ for $0 < t < T$,then the $r.m.s.$ value of the current is:

Alternating voltage:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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