Figure 3.1 shows an RLC circuit at t> 0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, i, (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. Is + ve(t) iz(t) 13 C R Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, o in the range of 350 rad/s. (b) Find the expression of ve(t) and i, (t) for t≥0s for each of your circuit designin part Q1(a). Show all your calculations. L m

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Figure 3.1 shows an RLC circuit at t> 0 s. Assume a current source of 5A is applied to the
circuit. The inductor has an initial current, į₁ (0) = 20 mA and the initial capacitor voltage,
vc (0) = 10 V.
+
Is
iz(t)
L
с
R
vc(t)
Figure Q1
(a)
Design your circuit to obtain an overdamped, critically damped, and underdamped
response. For the design, choose undamped frequency, o in the range of 350 rad/s.
(b)
Find the expression of v(t) and i₁(t) fort≥0s for each of your circuit designin
part Q1(a). Show all your calculations.
Transcribed Image Text:Figure 3.1 shows an RLC circuit at t> 0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, į₁ (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. + Is iz(t) L с R vc(t) Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, o in the range of 350 rad/s. (b) Find the expression of v(t) and i₁(t) fort≥0s for each of your circuit designin part Q1(a). Show all your calculations.
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