The 3-phase modulating waveforms $\left(v_a(t), v_b(t), v_c(t)\right)$, used in sinusoidal PWM in a voltage source inverter (VSI) are
$$ \begin{aligned} & v_a(t)=0.8 \sin (\omega t) \vee \\ & v_b(t)=0.8 \sin \left(\omega t-\frac{2 \pi}{3}\right) \vee \\ & v_c(t)=0.8 \sin \left(\omega t+\frac{2 \pi}{3}\right) \vee \end{aligned} $$
where $\omega=2 \pi \times 40 \mathrm{rad} / \mathrm{s}$ is the fundamental frequency. The modulating waveforms are compared with a 10 kHz triangular carrier whose magnitude varies between +1 and -1 . The VSI has a DC link voltage of 600 V and feeds a star connected motor. The per phase fundamental RMS motor voltage in volts is closest to
An ideal sinusoidal voltage source $v(t)=230 \sqrt{2} \sin (2 \pi \times 50 t) \vee$ feeds an ideal inductor $L$ through an ideal SCR with firing angle $\alpha=0^{\circ}$. If $L=100 \mathrm{mH}$, then the peak of the inductor current, in ampere, is closest to
In the following circuit, the average voltage
$$ V_0=400\left(1+\frac{\cos \alpha}{3}\right) V $$
where $\alpha$ is the firing angle. If the power dissipated in the resistor is 64 W , then the closest value of $\alpha$ in degrees is
