The series RLC circuit is shown in Figure 1. From the circuit diagram, the switch is opened for a long time. At the timet=0, the switch is closed. 3.0 L. ww i() t= 0 Figure 1: Series RLC circuit where v, to be sine wave, and (a) Case 1: R=10N, L=1H, C=-F, v = 10 V, o=2 rad/s. 16 Case 2: R=10N, L=1H, C=-F. 25 = 12 V, o= 3 rad/s. (b) Vm (c) Case 3: R= 20N, L=1H, C= 0.005 F, v, =10 V, o=5 rad/s

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How to do using variation parameter method ?
The series RLC circuit is shown in Figure 1. From the circuit diagram, the switch is
opened for a long time. At the time t 0, the switch is closed.
3.0
ww
t= 0
Figure 1: Series RLC circuit
where v, .to be sine wave, and
(a)
Case 1: R=10N, L=1H, C=-F, v, = 10 V, 0 =2 rad/s
16
%3D
1
Case 2: R=102, L=1H, C=F, v, = 12 V, o =3 rad/s.
25
(b)
(c)
Case 3. R= 20N, L=1H, C= 0.005 F, v,
= 10 V, o=5 rad/s.
Transcribed Image Text:The series RLC circuit is shown in Figure 1. From the circuit diagram, the switch is opened for a long time. At the time t 0, the switch is closed. 3.0 ww t= 0 Figure 1: Series RLC circuit where v, .to be sine wave, and (a) Case 1: R=10N, L=1H, C=-F, v, = 10 V, 0 =2 rad/s 16 %3D 1 Case 2: R=102, L=1H, C=F, v, = 12 V, o =3 rad/s. 25 (b) (c) Case 3. R= 20N, L=1H, C= 0.005 F, v, = 10 V, o=5 rad/s.
Use the variation of parameters method to obtain the complete solution of
current, i(t) in the circuit.
[Note: Refers to paper "Variation of Parameters: Application to Electric Circuit
Analysis". Show all your calculations step by step.]
3.1
Transcribed Image Text:Use the variation of parameters method to obtain the complete solution of current, i(t) in the circuit. [Note: Refers to paper "Variation of Parameters: Application to Electric Circuit Analysis". Show all your calculations step by step.] 3.1
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