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1.

The phase angle curve of G(ω) H(ω) can be drawn

Answer» When terms are multiplied, phase angles are added.
2.

The most commonly used devices for differencing and amplification, in control systems, are

Answer» Op-amps are commonly used due to their several advantages.
3.

For the system in the given figure, the ratio C()/R() =

Answer» Since positive feedback is used,
4.

A thermometer requires 1 minute to indicate 98% of its final response to a step input. If it is a first order system the time constant is

Answer» 0.98 = 1 - e-1/T or T = 0.25 minute.
5.

In a second order system ω = 10 rad/sec and ζ = 0.1, then ω =

Answer» Wd = ωn1 - ζ2 = 10 (1 - 0.01)05 = 9.95 rad/s.
6.

In Bode method of stability analysis, the error curve is not symmetric about corner frequency.

Answer» Error curve is symmetric.
7.

For the feedback system with closed loop transfer function the settling time for 2% tolerance

Answer» and settling time for 2% tolerance is 4T.
8.

In a second order system with a unit step input, the speed of response is high if system is

Answer» An underdamped system with damping factor slightly less than 1 gives high speed of response.
9.

A system has 12 poles and 2 zeros. Its high frequency asymptote in its magnitude plot has a slope of

Answer» -(12 - 2) 20 or - 200 dB/decade.
10.

The open loop transfer function of a unity feedback system is The poles of closed loop system are at

Answer» for s2 + 4s + 5 = 0, the roots are - 2 ± j1.
11.

For the system of the given figure the closed loop poles are located at

Answer» Transfer function = . The roots of equation s2 + 2s + 4 = 0 are at -1 ± 3.
12.

The system in the given figure, (0) = 0 and (0) = 0, At = 0 the unit impulse δ() is applied X()

Answer» Therefore displacement .
13.

If the polar plot, as the frequency is varied from 0 to infinity is

Answer» At ω = 0, G(jω) = 1 ∠ 0. At ω = ∞, G(jω) = 0 ∠ -90°.
14.

For the system of given figure the closed loop transfer function

Answer» or .
15.

For a second order system damping factor is 0.1. If ω is frequency of damped oscillations and ω is natural frequency, then

Answer» ωd = ωn(1 - 0.1)2 ⋍ ωn
16.

For the block diagram of in the given figure, the transfer function C()/R() is

Answer» Forward transfer function is G + H1.
17.

Given figure shows a unity feedback system. The ratio of time constants for open loop and closed loop response are

Answer» For open loop time constant = 0.25 For closed loop and time constant = Hence ratio of time constants is 3 : 2.
18.

Lag compensation increases bandwidth of the system.

Answer» Lag compensation improves steady state behaviour.
19.

The polar plot of the given figure is for the term

Answer» For the term , magnitude is 0 at ω = ∞ and infinite at ω = 0. Moreover phase angle is -180°.
20.

A second order system has damping ratio x and natural frequency ω. The unit step response is

Answer» .
21.

For the unity feed back system of the given figure, the closed loop transfer function is

Answer» .
22.

The effect of negative feedback on distortion and bandwidth because

Answer» Negative feedback increase bandwidth and reduces distortion.
23.

The response is

Answer» and is less than 1.
24.

For a first order system having transfer function, the unit step response is

Answer» Since the input is unit step, the response is .
25.

In the given figure, R >> R. Then

Answer» Since R2 > > R1 the term 1 + R1Cs is small as compared to 1 + R2Cs. Hence the factor can be neglected.
26.

The first column of a Routh array isHow many roots of the corresponding characteristic equation are in left half -plane?

Answer» Total number of roots is 5. Since two sign changes in first column, two roots are in right half plane. Hence 3 roots in left half plane.
27.

For the given figure, time constant RC = . Then

Answer» .
28.

The entries in the first column of Routh array of a fourth order are 5, 2, - 0.1, 2, 1. The number of poles in the right half plane are

Answer» Two sign changes and hence two poles in right half plane.
29.

In Bode diagram (log magnitude plot) the factor (ω) in the transfer function gives a line having slope

Answer» For (jω)n term the slope is (20 n) dB/decade.
30.

The magnitude of transport lag factor is always zero.

Answer» It is not always zero.
31.

In position control system the device used for providing rate feedback voltage is

Answer» Tacho generator provides a voltage whose magnitude is proportional to speed.
32.

For the system of the given figure, the closed loop poles are at

Answer» . For the characteristic equation s2 + 4s + 10 = 0, the roots are -2 ± j 6.
33.

A system has .If x() = , Y() is

Answer» .
34.

Derivative control action is effective?

Answer» Derivative of constant is zero. Hence derivative control action is not effective is steady state.
35.

In the given figure the input frequency = 10(1/2 RC)

Answer» XC = 0.1R. Hence V0 = 0.1 Vi or = 0.1 or - 20 dB.
36.

For the second order system damping ratio is

Answer» The standard form is s2 + 2ζωns + ω2n = 0.
37.

Modelling error may occur due to

Answer» Any of these may cause modelling error.
38.

In the given figure, P = 3 kg force. Then X() =

Answer» If P = 3, . Hence .
39.

In Bode diagrams an octave is a frequency band from

Answer» An octave is a frequency band from ω1 to 2ω1
40.

For the system in the given figure, the transfer function C()/R() is

Answer» G1 and G2 are cascaded.
41.

For the system in the given figure, the characteristic equation is

Answer» Transfer function to inner loop = . Then . The characteristic equation is s2 + 3s + 6as + 6 = 0.
42.

In control systems the magnitude of error voltage

Answer» The error voltage is always very small. A high value of error voltage may cause instability.
43.

The slope of log-magnitude asymptote changes by - 40 dB/ decade at a frequency ω. This means that

Answer» A double pole or pair of complex poles result in - 40 dB/decade slope in log magnitude graph.
44.

In the given figure the transfer function

Answer» Use signal flow graph.
45.

For the equation where Q is heat energy G is thermal conductance and θ is temperature, analogous electrical equation is

Answer» Temperatures θ1 and θ2 are analogous to voltage v1 and v2 .
46.

If the Nyquist plot does not encircle the (-1 + 0) point the system is always stable.

Answer» It is not necessary.
47.

The polar plot in the given figure is for the term

Answer» For the term 1 + jωt, magnitude is 1 at ω = 0 and infinite at ω = ∞.
48.

The compensator in the given figure is a

Answer» Obtain transfer function.
49.

If G() H() = , the closed loop poles are on

Answer» Poles are at s = ± j 10.
50.

For the block diagram of the given figure, the equation describing system dynamics is

Answer» Total input is [ΔH (s)]R + [ΔQi (s)]. This input gets multiplied by to give AQ0(s).