+ VLE mo L va 1 + 11 С 1+ Problem 1: Appearing to the right is our familiar RLC series circuit. The voltage source, va,

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+ VLE mo L va 1 + 11 С 1+ 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 Ke4t + Kezt, if a1 + a2; 11-comp(t) Kjeº+++ Kate1t, if a1 = 22. 11(t) = 11-comp(t) + 11-part (1) R w where 2 2 (2)* - IC 1 R 21 01 R 21 VEC and R 2L 02 R 2L 1 LC - (a) In design X the supply is va = 5V, and the component values are R = 100 kN, L = 20 mH, and C = 30 pF. What is the resonant frequency, wo, of design X? Is design X work. underdamped, O critically damped, or overdamped? 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 = 100k2 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: