2) In power-limited situations, ideal across and through sources don't
accurately represent the sources. Often the linear representations:
v = V - Rf, f = F -v (where v and f are across and through
variables) are more accurate. The first is modeled as an across source
in series with a resistor R, the second as a through source in parallel
with a resistor R.
For the system to the right, it's observed that for a fixed supply
voltage, the pump responds accordingly. Find the governing Diff. Eq.
relating the output flowrate to the input Pmax.
Q
Qmax
Flow rate
R1
Tank
C
R2
Pump
Po
Qout
Patm
Pressure
P Po