Q3b) Assume: you are told that the series RLC circuit given is an overdamped system, with S₁ = −2, S₂ = −4, v(0+)=15V, dv(0¹) = 0. Find vc(t) for t> 0. dt

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Q3a) The switch is closed for a long time. It opens at t-0.
i) Find i, (0*) and vc (0*)
12 V
2H
ii) For t > 0, what kind of system response does the series RLC circuit produce for i(t)?
(Underdamped, overdamped, critically damped). Also, express the form of the solution.
iii) Find di₁ (0*)
and dve(0+)
dt
dt
Q3b) Assume: you are told that the series RLC circuit given is an overdmped system, with
S₁ = -2, S₂ = -4,v(0¹)=15V,
dv (0+)
dt
= 0. Find ve(t) for t > 0.
60
42.000
0.4 F Ve(t)
Transcribed Image Text:Q3a) The switch is closed for a long time. It opens at t-0. i) Find i, (0*) and vc (0*) 12 V 2H ii) For t > 0, what kind of system response does the series RLC circuit produce for i(t)? (Underdamped, overdamped, critically damped). Also, express the form of the solution. iii) Find di₁ (0*) and dve(0+) dt dt Q3b) Assume: you are told that the series RLC circuit given is an overdmped system, with S₁ = -2, S₂ = -4,v(0¹)=15V, dv (0+) dt = 0. Find ve(t) for t > 0. 60 42.000 0.4 F Ve(t)
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