Consider the following RLC circuit, composed of a resistor R = 4N in series with a o capacitor C = 0.1F, o inductor L = 0.4H and o step voltage source v,(t) = V,u(t) , with V, = 1.6V. For t <0", the capacitor voltage (v.) is OV and the inductor current (i) is OA. R R 4Ω + C 42 Vs V,u(t) :0.1 F 1ms 0.1F 0.4 H ll 0.4H a) Circuit diagram b) SPICE implementation Figure 1: Series RLC circuit. 1. Complete the following Table for the RLC parameterization presented in Figure 1: Case I: R=42, C = 0. 1F Laplace transform of the inductor current: I(s) = L{i(t)} Inductor current(time domain): i(t) Note: t > 0- Neper Frequency (a)

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Consider the following RLC circuit, composed of a resistor R = 40 in series with a
o capacitor C = 0.1F,
o inductor L = 0.4H and
o step voltage source v,(t) = V,u(t), with Vo = 1.6V.
For t <0-, the capacitor voltage (v.) is OV and the inductor current (i) is OA.
R
i
R
1
4Ω
+
C
42
Vs
Vu(t)
:0.1 F
1ms
0.1F
0.4 H
4
ell
L
0.4H
a) Circuit diagram
b) SPICE implementation
Figure 1: Series RLC circuit.
1. Complete the following Table for the RLC parameterization presented in Figure 1:
Case I: R=42, C = 0.1F
Laplace transform of the inductor
current: I(s) = L{i(t)}
Inductor current(time domain): i(t)
Note: t > 0
Neper Frequency (a)
Resonant Frequency (wo)
Poles of I(s)
Type of Poles
(Real, Complex or Purely Imaginary?)
Transcribed Image Text:Consider the following RLC circuit, composed of a resistor R = 40 in series with a o capacitor C = 0.1F, o inductor L = 0.4H and o step voltage source v,(t) = V,u(t), with Vo = 1.6V. For t <0-, the capacitor voltage (v.) is OV and the inductor current (i) is OA. R i R 1 4Ω + C 42 Vs Vu(t) :0.1 F 1ms 0.1F 0.4 H 4 ell L 0.4H a) Circuit diagram b) SPICE implementation Figure 1: Series RLC circuit. 1. Complete the following Table for the RLC parameterization presented in Figure 1: Case I: R=42, C = 0.1F Laplace transform of the inductor current: I(s) = L{i(t)} Inductor current(time domain): i(t) Note: t > 0 Neper Frequency (a) Resonant Frequency (wo) Poles of I(s) Type of Poles (Real, Complex or Purely Imaginary?)
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