4 please 1. There are 4 permutations: natural response and step response for both parallel and forseries RLC circuits2. Find a=1/2RC for parallel and a-R/2L for series3. Find co²=1/LC and compare a² to co²4.Choose form of solution for second-order diff eqn with constant coeff'sIf a wo, then x(1) Xr+ A₁ exp Sit+ A2 exp S₂ąt where S₁2=-a +√(a²-c0²)If a<, then x(t) = X + B₁ exp (-at) cos wat + B₂ exp (-at) sin coat where co =√(₂²-a²)If a, then x(t) = Xr+ D₁ t exp (-at) + D₂ exp (-at)5.Determine from circuit if X<= 0 or not.6. Find coeff's A, B, D by evaluating x(0) and dx(0)/dt. x(0) is given by circuit conditionsand dx(0)/dt can be found by knowing that i-C dv/dt =-i-i-lo-V/R or byknowing that VL - L di/dt and v₁(0)= -1,R - Vo. In either case, I, and V, are determinedby the circuit. Solve equations simultaneously for A, B, D.7. Write full equation for x(t) and test for x(0) and x(co).

Given data A series and parallel RLC circuit are given in the question. We need to find out the…

1. There are 4 permutations: natural response and step response for both parallel and for series RLC circuits 2. Find a-1/2RC for parallel and a-R/2L for series 3. Find ²-1/LC and compare a² to 0,² 4. Choose form of solution for second-order diff eqn with constant coeff's If a>, then x(t)=Xr+ A₁ exp Sit + A₂ exp Sąt where S₁2=-=√(a²-0²) If a<, then x(t) = X + B₁ exp(-at) cos wat + B₂ exp (-at) sin cout where = •√∞0₂²³-a If a, then x(t)- Xr+D₁ t exp (-at) + D₂ exp(-at) 5. Determine from circuit if X, = 0 or not. 6. Find coeff's A, B, D by evaluating x(0) and dx(0)/dt. x(0) is given by circuit conditions and dx(0)/dt can be found by knowing that i=C dv/dt-i-in=-lo-V/R or by knowing that v₁ = L di/dt and v₁(0)=-1₂R-V₁. In either case, I, and V, are determined by the circuit. Solve equations simultaneously for A, B, D. 7. Write full equation for x(t) and test for x(0) and x(co).

1. There are 4 permutations: natural response and step response for both parallel and for series RLC circuits 2. Find a-1/2RC for parallel and a-R/2L for series 3. Find ²-1/LC and compare a² to 0,² 4. Choose form of solution for second-order diff eqn with constant coeff's If a>, then x(t)=Xr+ A₁ exp Sit + A₂ exp Sąt where S₁2=-=√(a²-0²) If a<, then x(t) = X + B₁ exp(-at) cos wat + B₂ exp (-at) sin cout where = •√∞0₂²³-a If a, then x(t)- Xr+D₁ t exp (-at) + D₂ exp(-at) 5. Determine from circuit if X, = 0 or not. 6. Find coeff's A, B, D by evaluating x(0) and dx(0)/dt. x(0) is given by circuit conditions and dx(0)/dt can be found by knowing that i=C dv/dt-i-in=-lo-V/R or by knowing that v₁ = L di/dt and v₁(0)=-1₂R-V₁. In either case, I, and V, are determined by the circuit. Solve equations simultaneously for A, B, D. 7. Write full equation for x(t) and test for x(0) and x(co).

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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