3. Find the time function corresponding to four out of thefollowing Laplace transforms using partial fractionexpansion2(a) F(s)s(s+2)10(b) F(s) =s(s+1)(s+10)(c) F(s)3s+2s2+4s+20(d) F(s) :3s2+9s+12(s+2)(s²+5s+11(e) F(s) =s2+4(f) F(s)2(s+2)(s+1)(s²+4)(g) F(s) = *(h) F(s) =(i) F(s)g4+4(j) F(s) =

Answered: Image /qna-images/answer/9d359b40-9409-45a5-90e6-802e04462676.jpg

3. Find the time function corresponding to four out of the following Laplace transforms using partial fraction expansion (a) F(s) = (+2) %3D 10 (b) F(s) s(s+1)(s+10) 3s+2 (c) F(s) = 7+4s+20 (d) F(s) 3s2+9s+12 = &+2)(s² +5s+11 (e) F(s) = 4 (f) F(s) 2(s+2) (s+1)(s²+4) (g) F(s) %=D 분 (h) F(s) = * (i) F(s) = 4

3. Find the time function corresponding to four out of the following Laplace transforms using partial fraction expansion (a) F(s) = (+2) %3D 10 (b) F(s) s(s+1)(s+10) 3s+2 (c) F(s) = 7+4s+20 (d) F(s) 3s2+9s+12 = &+2)(s² +5s+11 (e) F(s) = 4 (f) F(s) 2(s+2) (s+1)(s²+4) (g) F(s) %=D 분 (h) F(s) = * (i) F(s) = 4

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

See similar textbooks

Similar questions

Find the inverse Laplace transform of the following: 1. X(s) = [s + 2 + 4e^(−3s)]/[(s + 3)(s + 1)] 2. Y(s) = (s + 5)/[(s + 1)(s + 3)] 3. Z(s) = (s^2 + 6s + 7)/(s^2 + 3s + 2), Re(s) > −2 4. W(s) = (s^3 + 2s^2 + 6)/(s^2 + 3s) , Re(s) > 0 5. V (s) = (s^2 + 2s + 5)/[(s + 3)(s + 5)^2), Re(s) > −3 Where ROC is not specified, you may consider all of the s-plane to be ROC.
A 6 H inductor and a 30Ω resistor are connected in series with avoltage source of 10??? 20?. Use Laplace transforms as a function of time ifthe initial current is zero.. What is the current when ? = 2 ?
The dynamics of a system which has an input and output of the differential equation, d^2y(t)/dt + 3dy(t)/dt + 2y(t) = r(t), where the initial conditions are given as y(0) = 0, dy(t)/dt =0, r(t) =1, t>=0. Use Laplace transform to solve for the time response of the system, (ie solve for y(t), t>=0)
Problem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 ln [(s+1)(s+4)] -2.5 ln [(s-1)/(s-4)] -2.5 ln [(s+1)/(s+4)] -2.5 ln [(s+4)/(s+1)]
In the circuit shown in the figure, the switch moves from a to b at t = 0 moment.a. Find the inductor current and capacitor voltage at t = 0.b. Draw the s-equivalent circuit of this circuit at t = 0.b. Find the current ?? (?) in the s-domain.c. Find current (?) by inverse Laplace transform.
Find the inverse Laplace Transform of H(s) = (8/(3(s2)+12)+ + 7/s5 COMPLETE SOLUTION
In the following circuit, R=1 [ohm], C=1[F], and all initial values are 0. 1. Using Laplace Transform, find the ratio H(s)=Vo(s)/Vi(s).2. Find the roots of the characteristic equation.3. Find the conditions for K which will make the circuit over-damped and under-damped, respectively.4. When K=2, vi(t)=sqrt(10)cost, find vo(t) after a long time has passed.
1. What is the Transfer Function of this Differential Equation? 2. Find the solution to the dierential equation in the time domain assuming y (t) = Aest (you are not allowed to use Laplace transforms). Use the initial conditions y (0) = 1/6 , y'(0) = 5, with f (t) = u(t).
solve for the laplace transform of D3y(t) + 5D2y(t) + 7Dy(t) + 3y(t) = 2+t where: y(0) = 0 Dy(0) = 0 D2y(0) = 0 Show complete solution
Derive the s-domain equivalent circuit by expressing the inductor current i as a function of the terminal voltage v and then finding the Laplace transform of this time-domain integral equation.
the inverse laplace transform for the following function: X(s) = (5s + 2)/( s2 + (5/2)s + 1 ) i need detailed steps on how to complete the inverse transform of the above problem. if you could also include notes on how to procede on future problems will be greatly appreciated.
Find the corresponding time function for each of the following Laplace transforms. NEED ONLY NEAT HANDWRITTEN SOLUTION ,OTHERWISE DOWNVOTE.