Question
Please help me with the exercise 2:
Consider the circuit shown where L=5 H, C=10 uF, Vo=220. The switch is closed at t=0, determine the expression for the voltage across the capacitor. Sketch the voltage across the capacitor, inductor, and the diode. Sketch the current flowing through the circuit

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1. For the current waveform, determine the average, rms, and peak current ratings 2. Consider the circuit shown where L-5 H,

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Answer #1

Let us Redraw the circuit for ease. ia Vo = *S*H 3 LVL Let vos instral capaertor voltage. Let us usume apply kirchoffs voltag

Substituting in equcetion , at -o- LdI to at [Assume Zerochrop across drode in On State) Vo = t d I + / Siat Applying Laplace

& Vorss=Ls Ies) + Ies) sc => Tess = se Vors) s²LC +1 since, No=220 uce) ; ue4l= unit step as I afterto, voltage is applied. L> IN = Vo a ta XV c. => Ics) = Vo ſe v Taking Inverse Laplace, ماه Iet) = Vor sin ( 1 ) . - 6 From the circuit we can see Vfrom , putting values, Icta 220x 10x10 6 cinct 5x10x10 220XHorto Hoyto-6 Ha sin at 2) It=311.127x103 sin(141.42 A -> Ic+)=311across the capa istor is still €220 volts, 8 the capacitor cannot discharge as the drode Stops conduction, hence, there is no-31 1.12717 wt . - - - 220 Zo ... Lyut 220 -- +220 ut 2) - 220 Jo wt 220V - - -

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