Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dt² L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) +R+Q=V(1). dt henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ୪୪୪୪୪ (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(1).

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Q10:
Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation.
1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the
differential equation
where
d²Q dQ 1
+R- + √ √e
dt2 dt
L = 0.5
R = 6.0
C= 0.02
and V(t) is the applied voltage.
V(t)
= V(t),
henrys is the coil's inductance
ohms is the resistor's resistance
farads is the capacitor's capacitance
ellee
(i) Is the circuit oscillatory?
(ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t).
(iii) Sketch the transient solution, the steady state solution, and the full solution
Q(t).
Transcribed Image Text:Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).
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