The instantaneous voltages at three terminals marked X,Y and Z are given by VX=V0sin⁡ωtVI=V0sin⁡ωt+2π3 and VZ=V0sin⁡ωt+4π3An 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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V YZrms=V012

VXYrms=V032

Independent of the choice of the two terminals

VXYrms=V0

answer is B.

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Detailed Solution

VXT=VOsin⁡ωt+2π3−V0sin⁡ωt=VOsin⁡ωt+2π3+V0sin⁡(ωt+π)⇒ϕ=π−2π3=π3⇒V01=2V0cos⁡π6=3V0⇒VXT=3V0sin⁡(ωt+ϕ)⇒VXTRnc=VYZRπc=3V02

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