In the circuit shown all elements are ideal and the switch $$S$$ is operated at $$10$$ $$kHz$$ and $$60$$% duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acquires a voltage as shown. The peak current in amperes drawn from the $$50$$ $$V$$ $$DC$$ source is ________. (Give the answer up to one decimal place.)

A three-phase voltage source inverter with ideal devices operating in $${180^ \circ }$$ conduction mode is feeding a balanced star-connected resistive load. The $$DC$$ voltage input is $${V_{dc}}.$$ The peak of the fundamental component of the phase voltage is

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

Consider an overhead transmission line with $$3$$-phase, $$50$$ $$Hz$$ balanced system with conductors located at the vertices of an equilateral triangle of length $$\,{D_{ab}} = {D_{bc}} = {D_{ca}} = 1\,\,\,$$ m as shown in figure below. The resistance of the conductors are neglected. The geometric mean radius (GMR) of each conductor is $$0.01$$ $$m$$. Neglect the effect of ground, the magnitude of positive sequence reactance in $$\,\Omega $$/$$km$$ (rounded off to three decimal places) is ________________.