Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

For the op-amp circuit of the given figure, Eo(s)/Ei(s) =
A:
B:
C:
D:
Answer: B

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The functions and have
A:
identical magnitude and phase curves
B:
identical magnitude curves but different phase curves
C:
different magnitude curves but identical phase curves
D:
different magnitude and phase curves
Answer: B

Magnitude are the same. i.e. .

However phase angles are different because the phase angle of 1 - jωT3 is negative but that of 1 - jωT3 is positive.

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If feedback factor is β the overall gain of a closed loop system is approximately equal to
A:
B:
C:
β
D:
β
Answer: B

Closed loop gain = . Since 1 << Av β, the gain is .

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For an RLC series circuit Z(s) is of the form
A:
B:
C:
D:
Answer: D

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For a first order system having transfer function , the unit ramp response is
A:
T(1 - e-t/T)
B:
t - T + T e-t/T
C:
t + T + T e-t/T
D:
t + 2T e-t/T
Answer: B

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