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Alternating Current question

2017 · Shift 2 · Q39
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Alternating Current question

2017 · Shift 2 · Q39

JEE AdvancedPhysicsAlternating CurrentMultiple correct+4 / −1
The instantaneous voltages at three terminals marked X,YX,YX,Y and ZZZ are given by Vx=V0 sin⁡ ωt,VY=V0 sin⁡{V_x} = {V_0}\,\sin \,\omega t,{V_Y} = {V_0}\,\sinVx​=V0​sinωt,VY​=V0​sin (ωt+2π3)\left( {\omega t + {{2\pi } \over 3}} \right)(ωt+32π​) and Vz=V0sin⁡(ωt+4π3)Vz = {V_0}\sin \left( {\omega t + {{4\pi } \over 3}} \right)Vz=V0​sin(ωt+34π​) An ideal voltmeter is configured to read rmsrmsrms value of the potential difference between its terminals. It is connected between points XXX and YYY and then between YYY and Z.Z.Z. The reading(s) of the voltmeter will be
  1. A
    Vxyrms=V032V_{xy}^{rms} = {V_0}\sqrt {{3 \over 2}}Vxyrms​=V0​23​​
  2. B
    VYZrms=V012V_{YZ}^{rms} = {V_0}\sqrt {{1 \over 2}}VYZrms​=V0​21​​
  3. C
    VXYrms=V0V_{XY}^{rms} = {V_0}VXYrms​=V0​
  4. D
    Independent of the choice of the two terminals
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