Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 19P
To determine
Calculate the Laplace transform of the function
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Obtain c(0.4) and c(1.4) under the unit step input using the modified z-transform. (T=1)
R(z)
C(z)
ZOH
T-1
Find the unilateral z - transform of the DT sequence using the z transform pairs. Show the
details of your work. Write your answer on a white typewriting paper, scan it in JPEG format,
and paste it into the space provided below.
x[n] = (0.9) cos(300n)u[n]
In Figure 1, the values
of DC power, resistor,
inductor, and capacitor
are as follows. The
Laplace transform is
Solve to find the current,
i. (Be sure to write
down the solution
process
) E = 10[V], R = 2[k], L = 1.5[H], C = C
1. 그림 1에서 직류전원, 저항, 인덕터, 및 캐패시터의 값들은 아래와 같다. 라플라스 변환을 이
용해서 전류, i를 구하시오. (풀이과정을 반드시 적는다)
E=10[V], R=2[kn], L=1.5[H], C=0.1 [uF], V.(0)=2[V], i(0)=0[A]
E[V]]
R[Q]
ww
+V₂-
i[A]
L[H]
m
+v₁-
Ve C[F]
Chapter 15 Solutions
Fundamentals of Electric Circuits
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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- Application of Laplace Transform Sample Application c. Series Circuit Analysis d. Parallel Circuit Analysis Note: For the values of R, L, C and E refer to the following: R = 26 ohms L = 3.07 Henry C = 0.0112 Farad E = 600 Voltsarrow_forwardDetermine the z transform ofthe following n+3 xn) = n3) U (n+3) %3Darrow_forwardCalculate the inverse z-transform of the function given belowarrow_forward
- find the inverse laplace transform, indicating the method used and showing the details.arrow_forwardUsning time shifting property,find z transform of the function. (In a understandable handwriting please)arrow_forwardTask 3 1. Determine the unilateral z-transform and ROC(Region of Convergence) of the following signals: n a) x[n] = 2"u(n) + ;)" u(n – 1) b) x[n] = sin(@,n)u(n) (you may use differential equation to solve it)arrow_forward
- X(f) fourian transform -jzπ ft - = X(+) e dt if X(t)=2₂ Cos (3πT fet) find X(f) and plotarrow_forward1. Derive the KVL Equation in Integro- Differential Equation format. 2. Find the laplace transform of the equation in 1arrow_forwardADVANCE ENGINEERING MATHEMATICS: Answer the following and show your complete solution. Find the following Z and Inverse Z transform. 7, Evaluate the z transform of x(n) = c"u(n).arrow_forward
- Find the unilateral z - transform of the DT sequence using the z transform pairs. Show the details of your work. Write your answer on a white typewriting paper, scan it in JPEG format, and paste it into the space provided below. x[n] = (¹/3)" u[n - 5]arrow_forwardINVERSE LAPLACE TRANSFORM( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).arrow_forwardObtain c(1.4) and c(2.4) under the unit step input using the modified z-transform. (T=0.5) R(z} C(z) ZOH T=0.5 I B -A !!arrow_forward
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