Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

In the given figure the input frequency is such that R << Xc, then
A:
v0 lags vi by 90°
B:
v0 leads vi by 90°
C:
v0 and vi are in phase
D:
either (b) or (c)
Answer: A

Voltage across capacitor lags by 90°.

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A system has its two poles on the negative real axis and one pair of poles lies on jω axis. The system is
A:
stable
B:
unstable
C:
limitedly stable
D:
either (a) or (c)
Answer: C

Poles on j x-axis lead to oscillations.

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For the circuit in the given figure,
A:
B:
C:
D:
Answer: C

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For the given figure C(s)/R(s)
A:
B:
C:
D:
Answer: A

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When a unit step voltage drives a lag network the output
A:
remains constant at unit step value
B:
increases exponentially from zero to final value
C:
decreases exponentially from 1 to 0
D:
either (b) of (c) depending on values of R and C
Answer: B

At t = 0 the capacitor behaves as a short-circuit and output voltage is 0. At t = ∞ capacitor behaves as an open-circuit and V0 = Vi.

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