Question

Q3: Design a RLC circuit with a critical damped response form. The circuit obeys the following initial and final conditions as: Vd(0-) = -2 V, 11(0-) - 2 A, and V.(.) - 10 V. This circuit operates with the decay rate of the order of 10 MHz ( C 10 MHz). Design the circuit fort and find the R, L and C values. (40 points) Hints: a) One can use different forms of sources such as the voltage and current independent source. b) R is determined by use of the initial conditions. That means that you have to design the circuit in such way, using the initial conditions R becomes known. Proposed Circuit: Parameters C[F] L[H] RO)

Answer 1

can it instantaneously. we know Velo) =Vclot) as capacitor a Change voltage across it instantan likewise illo)= illot). Here in series RLC circuit ulos) is the source voltage itself as capacitor open circuits at a time. so given Velo)=rov so the source voltage should be lov. so frs= lov if we draw the circuit at tot capacitor achos a short circuit be having like voltage soulce of Velola-av. And inductor act as open circuit behaving calent source of illo)=2A. so circuit will be incoare us= lov Salou av if we do kvL 10-28-2 R=64 in Rhe in the characteristic equation cicuit Ý comparable to cheistic equation sºt2gwns twin? - ©

wheie G=dlamping raho for critical damping g=1 (given) wno natural frequency in radians here a = 10MHZ (given) here RLC Chalacheristic equation is 5P+ ķS+* - © compare eq 0 and ② - R=2geon and wrote substitute gal and . wh=27th Wn= 20 0 Mrad/sec we lenovo Q= 6 л L = 2x2011 M (1247175x1094 (do 21989 va semble

so the į proposed circuit Gv2 47.75x1600 Vás toves +5:32014 siou 5-3 X10 F