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)

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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.
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)
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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