The r.m.s. voltage of the waveform shown is.. | vedclass

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

Question

(A) The given waveform is a square wave with amplitude $V_0 = 10 \ V$.For a square wave that oscillates between $+V_0$ and $-V_0$,the instantaneous vo

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) The given waveform is a square wave with amplitude $V_0 = 10 \ V$.For a square wave that oscillates between $+V_0$ and $-V_0$,the instantaneous voltage $V(t)$ is either $+V_0$ or $-V_0$.The $r.m.s.$ voltage is defined as $V_{rms} = \sqrt{\frac{1}{T} \int_0^T V^2(t) dt}$.Since $V^2(t) = V_0^2$ at all times,$V_{rms} = \sqrt{\frac{1}{T} \int_0^T V_0^2 dt} = \sqrt{\frac{V_0^2}{T} \cdot T} = V_0$.Given $V_0 = 10 \ V$,therefore $V_{rms} = 10 \ V$.

The $r.m.s.$ voltage of the waveform shown is......$V$

Similar Questions

The alternating voltage is given by $v=v_0 \sin \left(\omega t+\frac{\pi}{3}\right)$. When will the voltage be maximum for the first time?

What is $rms$ (root mean square) value? Write the formula of $rms$ current for an alternating current.

If an $AC$ main supply is given to be $220 \ V$,what would be the average e.m.f. during a positive half cycle?

In an $AC$ circuit,when an $AC$ ammeter is connected,it reads $i$ current. If a student uses a $DC$ ammeter in place of the $AC$ ammeter,the reading in the $DC$ ammeter will be:

An alternating current in a circuit is given by $I = 20 \sin (100 \pi t + 0.05 \pi) \ A$. The r.m.s. value and the frequency of the current respectively are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module