A series RLC circuitResistance RVoltageInductance LsourceCapacitance CIs described by the following differential equation:di(t)= -4i(t) – 0.2v.(t) + 0.2E(t)dtdv-(t)200i(t)dxwith initial conditions v.(0) = 1 and i(0)= 1I(s)1. Find the transfer functionE(s)2. Find I(t) given E(t) = 8(t), the Dirac Delta Function%3Dall

Given ditdt =-4it-0.2vct+0.2Etdvctdx =200itvc0 =1i0 =1

A series RLC circuit Resistance R Voltage Inductance L source Capacitance C Is described by the following differential equation: di(t) :-4i(t) – 0.2vc(t)+ 0.2E(t) dt | dv.(t) 200i(t) dx with initial conditions ve(0) 1 and i(0) %3D = 1 I(s) 1. Find the transfer function E(s) 2. Find I(t) given E (t) = 8(t), the Dirac Delta Function all

A series RLC circuit Resistance R Voltage Inductance L source Capacitance C Is described by the following differential equation: di(t) :-4i(t) – 0.2vc(t)+ 0.2E(t) dt | dv.(t) 200i(t) dx with initial conditions ve(0) 1 and i(0) %3D = 1 I(s) 1. Find the transfer function E(s) 2. Find I(t) given E (t) = 8(t), the Dirac Delta Function all

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...

See similar textbooks

Similar questions

For the following circuit, find the transfer function H(s)=I(s)/Vin(s) , at responses i(t) to zero input and zero state, the total response i(t), responses to transient and steady state and natural frequencies. Rate it also the circuit regarding the type of damping (overdamped, underdamped, critically damped). Consider vin = 100 u(t) V and that in t = 0 the capacitor voltage is 16 V and the inductor current is 0 A. Use only the resolution via Laplace transform. Any other methods used will not be considered.
Determine the natural response of the given parallel RLC circuit below that is Vc(t) at t ≥ 0 seconds. Specifically, solve for Vc(1)
1-) Series and parallel; Transfer functions of RL,RC,RLC circuits , write the equations.
Assume that the circuit in the image has been connected for a very long time. (a) As time approaches infinity, what wtll happen to the capacitor and inductor? (b) From your answer in (a), draw the equivalent circuit (label appropriately).(c) From your circuit in (b), determine the "steady-state" or "final" values of Vc, lc, IL and VL
Evalute the transfer function F(s) = V0 / I (s) of the circuit provided using the Nodalanalysis (KCL).
The impulse response of a continuous-time LTI system is given byh(t) = u(t) −u(t − 5) where u(t) is the unit step function.a) Find and plot the output y(t) of the system to the input signal x(t) = u(t) using the convolution integral.b) Determine stability and causality of the system.
Circuit analysis 2 In the circuit shown below, ic (t) value for t <0 is equal to which of the following?
Root Locus Question Utilizing root locus techniques (by hand) prove that for the transfer function K*G(s) where G(s) = 1/(s^2+s+10) there is no value for K that will allow for less than 16% overshoot. Sketch the region of allowance on the root locus which would give less than 16% overshoot as added proof to the statement 5
The following transfer function describes the circuit. Determine the following: a. value of inductance L in Hb. value of resistance R in Ωc. type of system (underdamped, overdamped, critically damped, undamped)
Find the expression for the signal i0(t) of the circuit below, knowing that the input is a voltage signal Vin(t) = 60 u(t) V and that the capacitor is initially charged with a voltage v of 1 V and the inductor with a current i of 0.5 A. Find the transfer function H(s) = i0(t)/Vin(t).
The transfer function of a plant is given by: G(s) = 5 / 0.5s2 + s Design a leading compensator per root locus to bring the closed-loop poles to belocated at s = - 2 ±j3.46.
In the electrical circuit given in the figure, V(t) - input and vC2 (t) - output,a. Draw the Laplace equivalent of the system and get the transfer function (accept the initial values of zero in your transactions.).b. Draw the appropriate graph tree and write down the system's equation of state.