Question

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

V_x = V₀ sin ωt

V_y = V₀ \((ωt+\frac{2\pi}{3})\) and

V_z = V₀ sin \((ωt+\frac{4\pi}{3})\)

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

(A) \(V^{rms}_{xy}\) \(V_ 0 \sqrt{\frac{3}{2}}\)

(B) \(V^{rms}_{yz}\) \(V_ 0\sqrt{\frac{1}{2}}\)

(C) \(V^{rms}_{xy}\) V₀

(D) independent of the choice of the two terminals

Answer 1

 (A) \(V^{rms}_{xy}\) \(V_ 0 \sqrt{\frac{3}{2}}\)

(D) independent of the choice of the two terminals