The instantaneous voltages at three terminal marked X, Y and Z are given byVX = V0 sin wt,VY = V0 sin andVZ = V0 sin An ideal voltmeter is configured to read rms value of the potential difference between its termials. It is connected between X and Y and then between Y and Z. The reading(s) of the voltmeter will be

Engineering

Physics

AC Circuit Analysis

Question

The instantaneous voltages at three terminal marked X, Y and Z are given by

V_X = V₀ sin wt,

V_Y = V₀ sin $(ωt + \frac{2 π}{3})$ and

V_Z = V₀ sin $(ωt + \frac{4 π}{3})$

An ideal voltmeter is configured to read rms value of the potential difference between its termials. It is connected between X and Y and then between Y and Z. The reading(s) of the voltmeter will be

independent of the choice of the two terminals

$V_{XY}^{rms} = V_{0} \sqrt{\frac{3}{2}}$

$V_{XY}^{rms} = V_{0}$

$V_{YZ}^{rms} = V_{0} \sqrt{\frac{1}{2}}$

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(B) V_X = V₀ sin wt

V_Y = V₀ sin $(ωt + \frac{2 π}{3})$

V_Z = V₀ sin $(ωt + \frac{4 π}{3})$

V_XY = V_Y – V_X

V_XY = $\sqrt{3}$ V₀ (vectors cally)d

(V_rms)_XY = $\frac{\sqrt{3} V_{0}}{\sqrt{2}}$

(D) (V_rms)_XY = (V_rms)_YZ = (V_rms)_XZ

i.e. it does not depends upon the position where we are inserting the keys.