An RLC circuit is excited by a DC voltage source. At time t = 0 , the inductors and capacitors are de-energized. Let P M O be the maximum instantaneous power that ever flows out of the source, and let P M I be the maximum instantaneous power that ever flows into the source.
What is P M I P M O ? Give your answer as a positive number.
Details and Assumptions:
1)
V
S
=
1
0
2)
R
1
=
R
2
=
L
1
=
L
2
=
C
1
=
C
2
=
C
3
=
1
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@Karan Chatrath please check last 2 hour notifications.
@Karan Chatrath
share your python code .
Thanks in advance.
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Please show your attempt.
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@Karan Chatrath
did you edited it
It was written perhaps??
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@Talulah Riley – No, I did not edit it. I did not share the code in my solution.
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I S is the source current and I B is the current through the element-less branch of the 'wheat-stone bridge'. Circuit equations:
I S = I C 2 + I L 2 I C 3 = I R 2 + I L 2 I C 2 = I R 2 + I B
I S = Q ˙ S I C 2 = Q ˙ 2 I C 3 = Q ˙ 3
− V S + R 1 I S + C 1 Q S + L 1 I ˙ S + C 2 Q 2 = 0 L 2 I ˙ L 2 = C 2 Q 2 + R 2 I R 2 R 2 I R 2 + C 3 Q 3 = 0
Numerical integration does the rest. Leaving out those details.
The instantaneous power supplied by the source is: