A single-phase full bridge inverter fed by a 325 V DC produces a symmetric quasi-square waveform across " $a b$ " as shown. To achieve a modulation index of 0.8 , the angle $\theta$ expressed in degrees should be $\_\_\_\_$ . (Round off to 2 decimal places)

(Modulation index is defined as the ratio of the peak of the fundamental component of $V_{d b}$ to the applied DC value)

The figure below shows a half-bridge voltage source inverter supplying an $$RL$$-load with $$R = 40\,\,\Omega $$ and $$L = \left( {{{0.3} \over \pi }} \right)H.$$ The desired fundamental frequency of the load voltage is $$50$$ $$Hz.$$ The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index. $$M = 0.6.$$ at $$50$$ $$Hz$$, the$$RL$$-load draws an active power of $$1.44$$ $$kW.$$ The value of $$DC$$ source volts is

The switches $$T1$$ and $$T2$$ in Figure are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage $${v_m}\left( t \right) = 0.8\sin \left( {200\pi t} \right)\,\,V$$ and the triangular carrier $$\left( {{V_c}} \right),$$ voltage $$\left( {{V_c}} \right)$$ are as shown in figure $$(b).$$ The carrier frequency is $$5$$ $$kHz.$$ The peak value of the $$100$$ $$Hz$$ component of the load current $$\left( {{i_L}} \right)$$ in Ampere, is ______.

The single-phase full-bridge voltage source inverter $$(VSI),$$ shown in figure, has an output frequency of $$50$$ $$Hz$$. It uses unipolar pulse width modulation with switching frequency of $$50$$ $$kHz$$ and modulation index of $$0.7.$$ For
$${V_{in}} = 100\,V\,\,DC,\,\,L = 9.55\,\,mH,\,C = 63.66\,\,\mu F,$$ and $$R = 5\,\Omega ,$$ the amplitude of