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Control system miscellaneous

  1. If the electrical circuit of Fig.(b) is an equivalent of the coupled tank system of Fig.(a), then

    1. A, B are resistances and C, D capacitances
    2. A, C are resistances and B, D capacitances
    3. A, B are capacitances and C, D resistances
    4. A, C are capacitances and B, D resistances
Correct Option: D


C1 = capacity of tank (1)
C2 = capacity of tank (2)
h1, h2 = heights of water
Q1, Q2 = flow rates
R1, R2 = resistances of flow

Q1 = Q2 + C1
dh1
dt

Q2 = Q3 + C2
dh2
dt

∴ Q2 =
h1 - h2
, Q3 =
h2
R1R2

Equivalent circuit :

∴ A, C = capacitance
B, D = resistances



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