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Are you trying to say something about a pipeline with a wider beginning and a narow end. The water is flowing from the wider end to the narrower end.
If this is the problem, then u can use bernoulli's theorem,
The total energies at both the ends are the same.
i.e the sum of pressure...
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Try finding out the transfer function of ur RLC ckt by calculating the V0(s)/Vi(s). Then use this as ur transfer function, G(s), then, using the inputs design ut control system with or without a feedback...
Hope u got it...
Sridhar