S Q4 (a) Calculate the inverse Laplace transform by completing the square. s² + 2s+4 (b) Evaluate the inverse Laplace transform using a partial fraction. (s² +1) (s² + 2s +4) A RLC-circuit with L = 1 Henry, R = 20, C = 0.25 Farads and E(t) as given in Figure Q4(c). (c) E(t) ll L 1. R 0.6 E(t) 3 n 3 n 7 n 2 n 4 Figure Q4(c)
S Q4 (a) Calculate the inverse Laplace transform by completing the square. s² + 2s+4 (b) Evaluate the inverse Laplace transform using a partial fraction. (s² +1) (s² + 2s +4) A RLC-circuit with L = 1 Henry, R = 20, C = 0.25 Farads and E(t) as given in Figure Q4(c). (c) E(t) ll L 1. R 0.6 E(t) 3 n 3 n 7 n 2 n 4 Figure Q4(c)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
ordinary differential equation
![Show that the current i flows in the RLC-circuit can be modelled by
di
+2i + 4[i(7)dr = sin t – sin t H(t – 7).
dt
(d)
Calculate the current i(t) if i(0)=1 A in the RLC-circuit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa92c09da-e599-4239-a15f-6f19a2f75f1a%2Ff5788607-4667-4002-85d4-76e77badb1f1%2F4lmcwtg_processed.png&w=3840&q=75)
Transcribed Image Text:Show that the current i flows in the RLC-circuit can be modelled by
di
+2i + 4[i(7)dr = sin t – sin t H(t – 7).
dt
(d)
Calculate the current i(t) if i(0)=1 A in the RLC-circuit.
![S
Q4
(a)
Calculate the inverse Laplace transform
by completing the square.
s² + 2s +4
(b)
Evaluate the inverse Laplace transform
using a partial fraction.
(s² +1) (s² + 2s +4)
A RLC-circuit with L = 1 Henry, R = 20, C = 0.25 Farads and E(t) as given in
Figure Q4(c).
E(t)
ll
L
17
0.6-
E(t)
3 n
2 n
비+
2
2
4
4
4
Figure Q4(c)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa92c09da-e599-4239-a15f-6f19a2f75f1a%2Ff5788607-4667-4002-85d4-76e77badb1f1%2F2z2delj_processed.png&w=3840&q=75)
Transcribed Image Text:S
Q4
(a)
Calculate the inverse Laplace transform
by completing the square.
s² + 2s +4
(b)
Evaluate the inverse Laplace transform
using a partial fraction.
(s² +1) (s² + 2s +4)
A RLC-circuit with L = 1 Henry, R = 20, C = 0.25 Farads and E(t) as given in
Figure Q4(c).
E(t)
ll
L
17
0.6-
E(t)
3 n
2 n
비+
2
2
4
4
4
Figure Q4(c)
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