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  4. The instantaneous voltages at three terminals marked X , Y and Z are given by V x = V 0 sin ω t V y = V 0 sin (ω t +(2 π/3)) and V z = V 0 sin (ω t +(4 π/3)) An ideal voltmeter is configured to read rms value of the potential difference between its terminals. It is connected between points X and Y and then between Y and Z. The reading(s) of the voltmeter will be

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Q. The instantaneous voltages at three terminals marked $X , Y$ and $Z$ are given by
$V _{ x }= V _{0} \sin \omega t$
$V _{ y }= V _{0} \sin \left(\omega t +\frac{2 \pi}{3}\right)$ and
$V _{ z }= V _{0} \sin \left(\omega t +\frac{4 \pi}{3}\right)$
An ideal voltmeter is configured to read $rms$ value of the potential difference between its terminals. It is connected between points $X$ and $Y$ and then between $Y$ and $Z$. The reading(s) of the voltmeter will be

JEE AdvancedJEE Advanced 2017Alternating Current

Solution:

$V _{ XYO }= V _{ Y 2 O }= V _{ ZXO }=\sqrt{3} V _{0}$
$V _{ XX }^{ ms }= V _{ YZ }^{ rms }=\sqrt{\frac{3}{2}} V _{0}$

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