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 52P
To determine
Find the time-varying function
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(8) Using the method that applies the Laplace Transform to the circuit below. Find v(t)
for t20. Find i1(t)
10k
20 i,
a
b
V
+
30 V
t = 0
500 mH
S100
100
20k
1/3 mF
The z-transform of x[n] is
2z²-1.5z
X(Z) = 2²-1.52+0.5
The final time-domain value x∞ =
a. 2
b. 0
C. 1
d. co
The inverse z-transform of F(z) is:
F(z)
12:2
22482+25
Select one:
O a. f(k) = 10 x 5k x cos(2.5k + 0.92)
%3D
O b. f(k) = 20 x 5k x cos(2.5k+0.92)
O c f(k) = 20 x 5 x cos(2.5k- 0.92)
%3D
O d. f(k) = 20 x 5k x cos(0.92k +2.5)
%3D
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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- Problem4.Find Ve(t) for t20. Use differential equation approach to get credit for this problem. Don't use Laplace transform theory. L' 8 V 1 A 82 80 + Ve 0.04 F = v(1) iz(1) 31H 1Η V(0) = 8 v i(0-²) = 1 Aarrow_forward(a) Find the bilateral Laplace transform and ROC of the signal x (t) = 2e 4u(t+ 2) + 3e"u(-t) using the definition. (b) Find the bilateral Laplace transform and ROC of the signal x(t) = 7e u(-t) – e2 u(-t +1) using LT table and properties Your Answer: Answerarrow_forwardQ:-Solve inverse laplace transform 1066000 i = [s² + (2π50)²](s + 100)arrow_forward
- Determine the z transform ofthe following n+3 xn) = n3) U (n+3) %3Darrow_forward2(s+9) The Inverse Laplace Transform of is: s2+2s+50 Select one: O a. 3.03e-tcos (7t – 48.7)u(t) O b. 3.03e-tsin (7t + 48.7°)u(t) Oc. 6.06e-tcos (7t + 56.3°)u(t) O d. 3.03e-tcos (7t + 48.7°)u(t) O e. 3.03e-tsin (7t – 48.7°)u(t)arrow_forwardSolving Differential Equation using Laplace transform: dy(t)/dt +2y(t)=3u(t) Initial condition y(0) = 0 Hello, I am doing some practice and I want to make sure I am doing this right while using the correct steps. Thank you for your time and help.arrow_forward
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