Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Q 3 please
1. Find x(t) if the Fourier transform of x(t) is given as X(w) = 2nrect
A. x(t) =
sin201
mt
B. x(t) = sin10t
C. x(t) = sinc10t
A.
B. H,(s) =
H,(s) =
2. Find the inverse System Function H, (s) for the LTI system described by the following differential
equation:
35³ +65+2
3³
35³ +65+2
5²-35²
1/RC
s+1/Rc
A. 36
d³y(t)
dt3
Re
B. H(S)=5+RC
R
d²y(t)
dt²
= 3
B. 12
3. Find the System Function H(s) for the RC circuit given below. (Hint: first, you need to find the
relationship between x(t) and y(t) assuming that x(t)-v.(t) and y(t)-i(t), then use Laplace to find H(s).
A. H(s) =
C. H(s) =
s+1/Rc
1/Rc
Se-2
d²x(t)
dt²
dx(t)
+6 -+ 2x(t)
dt
2.
4. The Laplace transform of the signal 5u(t-2) is given as:
C. H,(s)
D. H, (s)
C. 27
D. H(s) =
A. ²
C.
D.
5. The Laplace transform of x(t) = rect() is given as:
A.e-2t B.e-25-6 C. e²5-e6s
6. The power of the periodic signal given below is:
5e-2s
100)
in
s³ +35²
352-65+2
5²-35²
35² +65+2
s+Rc
Re
D. x(t): mt
D. 24
2sin201
=
*
Transcribed Image Text:1. Find x(t) if the Fourier transform of x(t) is given as X(w) = 2nrect A. x(t) = sin201 mt B. x(t) = sin10t C. x(t) = sinc10t A. B. H,(s) = H,(s) = 2. Find the inverse System Function H, (s) for the LTI system described by the following differential equation: 35³ +65+2 3³ 35³ +65+2 5²-35² 1/RC s+1/Rc A. 36 d³y(t) dt3 Re B. H(S)=5+RC R d²y(t) dt² = 3 B. 12 3. Find the System Function H(s) for the RC circuit given below. (Hint: first, you need to find the relationship between x(t) and y(t) assuming that x(t)-v.(t) and y(t)-i(t), then use Laplace to find H(s). A. H(s) = C. H(s) = s+1/Rc 1/Rc Se-2 d²x(t) dt² dx(t) +6 -+ 2x(t) dt 2. 4. The Laplace transform of the signal 5u(t-2) is given as: C. H,(s) D. H, (s) C. 27 D. H(s) = A. ² C. D. 5. The Laplace transform of x(t) = rect() is given as: A.e-2t B.e-25-6 C. e²5-e6s 6. The power of the periodic signal given below is: 5e-2s 100) in s³ +35² 352-65+2 5²-35² 35² +65+2 s+Rc Re D. x(t): mt D. 24 2sin201 = *
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