Answer Happy

+ VL- 000 L Va + 11 IC-Vc +91 Problem 1: Appearing to the right is our familiar RLC series circuit. The voltage source, Va, is a con- stant voltage, and because of the capacitor in the loop the particular (steady-state) solution for ij is zero. Ap- pearing below is the solution for the current through the circuit. Note: This is an easy look-up-the-formula- and-plug-in-the-numbers problem. Don't worry, it gets better 11-part(t) = 0 Kiel + Kelif arazi 11-comp (t) = Ke + Kztem, if a = az. (t) = 11-comp(t) + 11-part (t) R where 2 2 R R R aj =- + 21. (2) ZO 1 LC and 02= R 21 @ - )- 1 LC (a) In design X the supply is va = 5 V, and the component values are R = 100k9, L = 20 mH, and C = 30 F. What is the resonant frequency, wo of design X? Is design X underdamped, critically damped, or overdamped? work. Show your (6) Starting with design X, choose values of R that will result in each damping case. One of those values will be the R = 100k from design X. For an underdamped circuit change R to: For a critically damped circuit change R to: For an overdamped circuit change R to: