The single phase rectifier consisting of three thyristors $$T_1,T_2,T_3$$ and a diode $$D_1$$ feed power to a 10 A constant current load. $$T_1$$ and $$T_3$$ are fired at $$\alpha=60^\circ$$ and $$T_2$$ is fired at $$\alpha=240^\circ$$. The reference for $$\alpha$$ is the positive zero crossing of $$V_{in}$$. The average voltage $$V_0$$ across the load in volts is __________ (Round off to 2 decimal places).

For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is Idc = 15 A and is ripple free. The thyristors are fired with a delay angle of 45$$^\circ$$. The amplitude of the fundamental component of the source current, in amperes, is _________. (round off to two decimal places).

A phase controlled single phase rectifier, supplied by an AC source, feeds power to an R-L-E load as shown in the figure. The rectifier output voltage has an average value given by $${V_0} = {{{V_m}} \over {2\pi }}\left( {3 + \cos \alpha } \right)$$, where $${V_m} = 80\pi $$ volts and $$\alpha $$ is the firing angle. If the power delivered to the lossless battery is 1600 W, $$\alpha $$ in degree is________ (up to 2 decimal places).

The figure below shows an uncontrolled diode bridge rectifier supplied form a $$220$$ Z$$V,$$ $$50$$ $$Hz,$$ $$1$$-phase $$ac$$ source. The load draws a constant $${{\rm I}_0}$$ $$=14A.$$ The conduction angle of the diode $${D_1}$$ in degrees (rounded off to two decimal places) is ______________.