The instantaneous voltages at three terminals marked X, Y and Z are given by: Vₓ=V₀ sinωt, Vᵧ=V₀ sin(ωt+2π/3), and V𝓏=V₀ sin(ωt+4π/3). An ideal AC voltmeter reads rms potential difference. It is connected between X-Y and then Y-Z. Select the correct statements.
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Question

The instantaneous voltages at three terminals marked X, Y and Z are given by: Vₓ=V₀ sinωt, Vᵧ=V₀ sin(ωt+2π/3), and V𝓏=V₀ sin(ωt+4π/3). An ideal AC voltmeter reads rms potential difference. It is connected between X-Y and then Y-Z. Select the correct statements.

Select all that apply

G1 Physics · Accepted Answer

The phase difference between any pair is 120°. The peak difference of two equal-amplitude sinusoids separated by 120° is √3V₀, hence the rms difference is V₀√(3/2). The reading is independent of the selected pair. Therefore C and D.