Question

Can someone please clearly write out their process for finding V out while using Laplace Transform. YOU CAN IGNORE parts e and f

2. Parallel LCR Circuit: For the parallel circuit below, a. Find the real output voltage v(t). b. Find the real currents in the components; iL(t), iR(t) and ic(t) c. What is the resonant frequency wo? d. Derive an expression for the Q of the circuit (without the current source, of course) e. Make a log-log plot of the magnitude of the normalized phasor output voltage |vo(w)|/o(wo) versus normalized frequency w/wo over the range 10 3 < w/wo 103 for the following values of Q 10, 102, 103 and 104. f. Make a plot of the phase of o(w)/v0(wo) over the same range and values of Q. ic(t) iL(t) iR(t) is(t)=Io coswt С v.(t) L AR

Answer 1

oplace demain Votu TtbTLt+Irlt) +Ic domah . In laplace To S VoL Vocs) L Stu VOLS) Stw> VoCS) OL R -- VoLS) Vo us) - +Jwc hveye caplate Take gle Voty Tranfni

Tith-Telh-T t laplace donain voCr) VoLs S&twr Talce 3veye VOCS) Laplace

Similauly for Aand C and c b VoC 1 Talce hvege aplae tntfosm to get S2t Take hvene tanfom to get icts eonantregueng coin CONSe it be AL
we can find Q directly from resonant frequency expression