The $3$-phase modulating waveforms $\left(v_{a}(t), v_{b}(t)\right.$ and $\left.v_{c}(t)\right)$, used in sinusoidal PWM in a Voltage Source Inverter (VSI) are
$$ \begin{array}{l} v_{a}(t)=0.8 \sin (\omega t) \mathrm{V} \\ v_{b}(t)=0.8 \sin \left(\omega t-\frac{2 \pi}{3}\right) \mathrm{V} \\ v_{c}(t)=0.8 \sin \left(\omega t+\frac{2 \pi}{3}\right) \mathrm{V}
\end{array}$$
where $\omega=2 \pi \times 40 \mathrm{rad} / \mathrm{s}$ is the fundamental frequency. The modulating waveforms are compared with a $10 \: \mathrm{kHz}$ triangular carrier whose magnitude varies between $+1$ and $-1$ . The VSI has a DC link voltage of $600 \: \mathrm{V}$ and feeds a star connected motor. The per phase fundamental RMS motor voltage, in volts, is closest to
- $169.71$
- $300.00$
- $424.26$
- $212.13$
