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Control Systems

Control Systems
First Foster form of a LC network represents which element in the beginning?

 Inductor.
 Capacitor.
 Both A and B.
 Resistor.

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Control Systems
Electrical analogous quantity for dash-pot in force-current analogy is

 capacitance.
 resistance.
 conductance.
 inductance.

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Control Systems
A transfer function has a zero at s = -1 and poles at s = -1 ± j1. The multiplier being unity, if the input is step function, the steady state response is given by

 0.5∠0°
 0.5∠10°
 1∠0°
 2∠90°

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Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 cos-1((1 - α)/(1 + α)
 both 1 and 3
 sin-1((1 - α)/(1 + α)
 tan-1((1 - α)/(2√α)

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Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e2t + e3t.
  e5t.
  e2t - e3t.
  e3t - e2t.

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Control Systems
Find the relation of damped natural frequency (ωd)

 (ωn) √(1-1/ζ²)
 (ωn) √(1-ζ²)
 (ωn) √(1-2ζ²)
 (ωn) √(1-4ζ²)

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