i(0-)=2.6A i(0-)=0A Vc(0-)=24V Vc(0-)=9.6V For t>0, we have a source-free RLC circuit For t>0, we have a RLC circuit with a step voltage source a=10 (alpha) a=20 (alpha) For t>0 the system is critically damped For t>0 the system is underamped The current response is in the form of i(t)=[(A + B*t)e-at] The current response is in the form of i(t)=[ Ae-at] i(t)=-9.6*t*e-2⁰t A i(t)=-t*e-2⁰t A Capacitor voltage at t= is zero Capacitor voltage at t=∞ is NOT zero Inductor current at t=∞ is zero Inductor current at t=% is NOT zero The 30V voltage source has effect on the circuit for t>0 The 30V voltage source has NO effect on the circuit for t>0

i(0-)=2.6A i(0-)=0A Vc(0-)=24V Vc(0-)=9.6V For t>0, we have a source-free RLC circuit For t>0, we have a RLC circuit with a step voltage source a=10 (alpha) a=20 (alpha) For t>0 the system is critically damped For t>0 the system is underamped The current response is in the form of i(t)=[(A + Bt)e-at] The current response is in the form of i(t)=[ Ae-at] i(t)=-9.6te-2⁰t A i(t)=-te-2⁰t A Capacitor voltage at t= is zero Capacitor voltage at t=∞ is NOT zero Inductor current at t=∞ is zero Inductor current at t=% is NOT zero The 30V voltage source has effect on the circuit for t>0 The 30V voltage source has NO effect on the circuit for t>0

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

OBJECTIVE 7-3 SECOND-ORDER CIRCUIT ANALYSIS (SECTS. 7-5, 7-6, 7-7) Given a second-order circuit: (a) Find the circuit differential equation. (b) Find the circuit natural frequencies and the initial condi- tions (if not given). (c) Find the zero-input response. (d) Find the complete response for a step function input. See Examples 7-17, 7-18, 7-20 to 7-23, 7-24, and 7-26 and Exercises 7-25, 7-27, 7-29 to 7-31 and 7-33. S7-37 Find the v(t) that satisfies the following differential equa- tion and initial conditions: dv(t) du(t) di² dt +6- +48u(t)=0, v(0)=0 V, dv(0) dt = 48 V/s
In a parallel RLC circuit with L= 8 H and C = 50 mF, find the value of R such that the system is critically damped. Оа. 6.125 0 Оb. 5.725 0 Oc. 6.325 0 Od. 5.925 2
Please show me step by step to approach/solve this problem. Thank you!
A Moving to the next question prevents changes to this answer. Question 1 İL(t) i,(t) (1 30 1H For the above circuit, assume that the initial condition of the inductor current is zero: iL (0-)=0A. Analyze the circuit in the S-domain to determine iL (t) for varying inp Part I: Draw the circuit in the S-Domain and clearly label all elements and current IL Part II: for is(t) = 0(t) (the unit impulse), determine iL(t) ) D= Part IlI: for ig(t) = 4e2u(t), determine i (t) You must show all your work. Take a picture/scan and upload BEFORE PROCEEDING TO THE NEXT QUESTION. Attach File Browse Local Files Browse Content Collection A Moving to the next question prevents changes to this answer. elle
A series RLC circuit with whose capacitor has C=10 μF is intended to exhibit 15% overshoot and a steady-state response after 7 milliseconds across the capacitor. The input is a unit step voltage. Design the circuit for the resistor and the inductor.
Plot the step response of the following system
Q6: Draw the root locus for the system with O.L.T.F: k(s + 1) s(s + 2)(s2 + 2s + 5) G(s)H(s) :
a series connected rlc circuit is shown the switch opens at t=0 iL(t=0+)= ic(t=0+)= vc(t=0+)= vL(t=0+)= diL/dt(t=0+)= dvc/dt(t=0+)= vL(t=inf.)= vR(t=inf.)= vc(t=inf.)=
Asap please
A second order circuit's impulse and step response The figure below shows a series second order RLC circuit. The system input is a step voltage source vin(t) = u(t) and the output is the voltage across resistor R. + Vin(t) C m L i(t). RVout (t) Series RLC As shown in the section regarding second order LCCDES impulse response, the Kirchhoff's voltage law equation can be written as di ½ i(t)dt + L + Ri = vix(t) = u(t). di Differentiating results: + di² Ldt LC d²i Rdi 1 + i= =(t). The circuit's characteristic equation can be written as: = 0. R + = + s+ L LC A system's impulse response can be found using the residue function. Ex: for the LCCDE b₂ d²v + b₁ dy b₁1/4 + bo= αι +ao, dx di [R, P] = residue ([a1 a0], [b2 b1 b0]) Vectors [a1 a0] and [b2 b1 b0] are the input (right hand side) and output (left hand side) coefficients respectively. Vector R contains the residues and vector P contains the roots (poles) of the characteristic equation. If the impulse response has the form h(t) = Aet +…
Design RLC circuits for underdamped, overdampt and critically damped response (one circuit per response). Use Vpp < 5V, show all your calculations and simulation. Use the component values.
Q6) a)Match the signals below with the candidate sketches below (i.e., you are supposed to choose which graph below corresponds to the signal below). Note: u(t) is the unit step function; i.e., u(t) = 1 for t>=0s and u(t) = 0 for t<0s. X₁(t) = u(t+1)-u(t-3) X₂(t) = u(t-3)-u(t-4) X3(t) = u(t+1)-u(t-1) d(t) = x₁(-t) e(t) = 2 x₁(t-1.5) f(t) = x₁(2t + 1.5) g(t) = x4(2t) h(t) = x3(t/2) i(t) = 2 x3(t) j(t) = -0.5 x₂(t) k(t) = x₁(1.5 t + 2.5) y(t) = 2 x₁(-t/2+1.5) 432 1 0 -1 4321OT 0 -1 -6-4-20 2 4 6 (1) 4321OT 0 -1 -6-4-20 246 (5) n -6-4-20 2 4 6 (9) 43210 3 -1 4321OT -1 43210 -6-4-20246 (2) -1 -6-4-20246 (6) 2 -6-4-20246 (10) 4321OT 0 4321OT -6-4-2 0 2 4 6 (3) -6-4-2 0 2 4 6 (7) 4321O -6-4-20246 (11) 4321OT 0 -1 -6-4-20 2 4 6 (4) 4321OT -6-4-20 2 4 6 (8) 43210 3 2 0 -6-4-20 246 (12)