I’m struggling with question 3 a b Question 3The capacitor voltage of the RLC circuit depicted in Fig Q3 is denoted by V.(t).R(Vinmin1(t)Vc (t)Fig. Q3 RLC circuitR = 2000 ft is the resistance, L= 10 H is the inductance, C = 10³ F is the capacitance, Vin (t) is theinput voltage and I(t) is the electric current. The capacitor voltage Ve(t) is given by the solution ofthe equation10000(s+5)(s + 100)²LCVc(t) + RCVc(t) + Vc(t) = Vin(t)The capacitor voltage is related to the current through the equation1(t) = CVc(t)(3.2)a) It is assumed that the input voltage is Vin(t)= est and the initial capacitor voltage and initialcurrent are both zero. By calculating the Laplace Transform of Equation (3.1), show that thecapacitor voltage Vc(s) in the frequency domain isVc(s) =Calculate the electric current I(s) in the frequency domain.Calculate the limit capacitor voltage and the limit electric current as t goes to infinity.Derive Vc (t) by inverse Laplace transform.(3.1)

R=2000ΩL=10HC=10−5FVin=e−5tVFrom the given differential equation:LCVc″(t)+RCVc′(t)+Vc(t)=Vin(t)=>…

Question 3 The capacitor voltage of the RLC circuit depicted in Fig Q3 is denoted by V.(t). R (Vin mi C 1(t) Fig. Q3 RLC circuit R = 2000 f2 is the resistance, L= 10 H is the inductance, C = 10° F is the capacitance, Vin(t) is the input voltage and I(t) is the electric current. The capacitor voltage V.(t) is given by the solution of the equation 10000 (s+5)(s+100)² Calculate the electric current I(s) in the frequency domain. Calculate the limit capacitor voltage and the limit ol Derive Vc(1) by inverse Lanlar Vc(t) LCVc(t) + RCVc(t) + Vc(t) = Vin(t) The capacitor voltage is related to the current through the equation I(t) = CVc(t) (3.2) a) It is assumed that the input voltage is Vin(t)=et and the initial capacitor voltage and initial current are both zero. By calculating the Laplace Transform of Equation (3.1), show that the capacitor voltage Vc(s) in the frequency domain is Vc(s) = (3.1)

Question 3 The capacitor voltage of the RLC circuit depicted in Fig Q3 is denoted by V.(t). R (Vin mi C 1(t) Fig. Q3 RLC circuit R = 2000 f2 is the resistance, L= 10 H is the inductance, C = 10° F is the capacitance, Vin(t) is the input voltage and I(t) is the electric current. The capacitor voltage V.(t) is given by the solution of the equation 10000 (s+5)(s+100)² Calculate the electric current I(s) in the frequency domain. Calculate the limit capacitor voltage and the limit ol Derive Vc(1) by inverse Lanlar Vc(t) LCVc(t) + RCVc(t) + Vc(t) = Vin(t) The capacitor voltage is related to the current through the equation I(t) = CVc(t) (3.2) a) It is assumed that the input voltage is Vin(t)=et and the initial capacitor voltage and initial current are both zero. By calculating the Laplace Transform of Equation (3.1), show that the capacitor voltage Vc(s) in the frequency domain is Vc(s) = (3.1)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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