Automatic Control Systems - Section 1 (3)

Directions to Solve

Automatic Control Systems - Section 1

17.

For type 2 system, the magnitude and phase angle of the term (jω)² in the denominator, at ω = 0, are respectively

A.	0 and - 90°
B.	0 and + 90°
C.	infinity and - 180°
D.	infinity and + 180°

Answer: Option C

Explanation:

34-371-2 has a magnitude of infinity and phase angle -180°.

18.

Stepper motors find applications in

A.	X-Y plotters
B.	numerically controlled machining equipment
C.	printers
D.	all of the above

Answer: Option D

Explanation:

Stepper motors are used in all these applications.

19.

A lag compensator is essentially a

A.	low pass filter
B.	high pass filter
C.	band pass filter
D.	either (a) or (b)

Answer: Option A

Explanation:

See transfer function in the equation 42-152

where t₁ = R₁C₁, t₂ = R₂C₂ and t > 1.

20.

If error voltage is e(t), integral square error =

A.	e2(t) dt
B.
C.
D.	none of the above

Answer: Option B

Explanation:

Error is squared and integrated.

21.

The compensator of the given figure is a

17-104

A.	lag compensator
B.	lead compensator
C.	lag-lead compensator
D.	none of the above

Answer: Option B

Explanation:

Obtain transfer function.

22.

The log magnitude curve for a constant gain K is a

A.	horizontal straight line
B.	horizontal straight line of magnitude 20 log K decibels
C.	an inclined line having slope K
D.	an inclined line having slope -K

Answer: Option B

Explanation:

The factor K in the numerator of G(jω) gives is straight line at 20 log10 K in Bode plot.

23.

For the transport lag G(jω) = e^-jωT, the magnitude is always equal to

A.	0
B.	1
C.	10
D.	0.5

Answer: Option B

Explanation:

Magnitude is 1.

24.

The phase margin and damping ratio have no relation.

A.	True
B.	False

Answer: Option B

Explanation:

They are related.

Automatic Control Systems - Section 1 (3)

Automatic Control Systems - Section 1

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