Please do all of these problems, add picture of schematic and pspice aswell. Tha
ID: 2248615 • Letter: P
Question
Please do all of these problems, add picture of schematic and pspice aswell. Thank you!
R Variable (t10mH our Figure 1 3.1 Pre-Lab Assignment: 3.1.1 Convert the circuit to s-domain, assuming zero initial capacitor voltage and zero initial inductor current. Derive Vout(s) of the s-domain circuit-it will be expressed by Vin(s) and a fraction involving "s--10% Choose three resistor values (or ranges, you are going to use those values in the lab) for the circuit to become under-damped, critically damped, and over-damped. Confirm using PSpice with an input of 4(t) = 1011() , 3.1.2 3.1.3 Find Vour (S Vin(s) for the L, C values and the three respective resistor values chosen above. The result will be three functions of s -the "transfer functions"- 5%Explanation / Answer
3.1.1 Ans
Assuming Zero initial capacitor voltage,Vc(0)=0v
Zero initial inductor current,IL(0) = 0A,
Convvert the circuit into S-Domain
Vin (t)=Vin (s),
R=R,
XL=LS, L=10mH, XL=10mS
Xc=1/Sc c=0.001microFarad, Xc=10^9/S
Vo(t)=Vo(s),
Apply Nodal Analysis:
(Vo(s)-Vin (s))/R +Vo(s)/LS+Vo(s)SC=0
Vo(s)(1/R+1/LS+SC)=Vin (s)/R
Vo(s)=(1/R(1/R+1/LS+SC))Vin (s)
Vo(s)=(1/(1+R/LS+RSC))Vin (s)
Vo(s)=(1/(1+R/10mS+10^-9RS))Vin (s)
Vo(s)=(10mS/ (10mS+R+10^-12RS^2))Vin (s)