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51.

For quadratic factor. In Bode log magnitude plot the high frequency asymptote is a straight line having the slope

Answer» For quadratic factor in denominator, slope at high frequencies is - 40 dB/decade.
52.

For op-amp circuit of the given figure, E()/E() =

Answer» .
53.

In liquid flow system the capacitance of a water tank is defined as

Answer» Electrical and dQ is analogous to change in amount of liquid and dv is analogous to change in head.
54.

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

Answer» .
55.

For a second order system, the position of poles is in the shaded region shown in the given figure. The variation in damping factor is

Answer» Variation in damping factor is small.
56.

In a second order system, the time constant of exponential envelopes depends

Answer»
57.

The maximum shift which can be provided by a lead compensator with transfer function is

Answer» The maximum phase lead is given by In this case a = 1/3. Hence sin Φm = = 0.5 or Φm = 30°.
58.

The network of the given figure is a

Answer» V0 will lead Vi. Hence lead network.
59.

For the given figure

Answer» .
60.

The resistance R of a liquid flow system is defined as

Answer» Electrical resistance , level difference or head is analogous to v and change in flow rate is analogous to current.
61.

For a factor in the transfer function, the log magnitude plot

Answer» jω term in denominator gives a straight line with a slope of - 20 dB/decade and gives a straight line with a slope of - 40 dB/decade.
62.

The frequency at which magnitude of closed loop frequency response is 3 dB below its zero frequency value is called critical frequency.

Answer» It is not critical frequency.
63.

The transfer function has the characteristics of high pass filter.

Answer» When ω is high, the output is low.
64.

The transfer function can be for

Answer» For a lead-lag compensator β > 1 and a < 1.
65.

The system of the given figure

Answer» Since there are two poles at s = -2 and s = -1 and one zero at s = +3.
66.

If phase angle of open loop transfer function becomes - 180° at frequency ω, then gain margin is equal to

Answer» If gain is a, gain margin is . In this case gain is |G(jω1)|.
67.

A system with transfer function may be approximated by the system

Answer» Coefficient (s + 15) gives the term e-15t and the coefficient (s + 20) gives the term e-20t. These can be neglected as compared to terms corresponding to s and (s + 1).
68.

For an RLC series circuit Z() is of the form

Answer» .
69.

If feedback factor is β the overall gain of a closed loop system is approximately equal to

Answer» Closed loop gain = . Since 1 << Av β, the gain is .
70.

The functions and have

Answer» 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.
71.

For the op-amp circuit of the given figure, E()/E() =

Answer»
72.

In op-amp circuit of the given figure, E()/E() =

Answer»
73.

A system hasFor unit step input the settling time for 2% tolerance band is

Answer» ξωn - 0.8 and = 1.25 s. For 2% criterion, settling time = 4T = 5 seconds.
74.

The primary function of lag compensator is to provide sufficient

Answer» It changes phase.
75.

In the given figure, C() =

Answer» Use principle of superposition. Initially assume R(s) = 0 and find C(s). Then assume U(s) = 0 and find C(s). Add the two responses.
76.

The polar plot of

Answer» It does not become real at any frequency.
77.

In a second order undamped system, the poles are on

Answer» If poles are on imaginary axis the response is undamped and oscillatory.
78.

For the system of the given figure, the undamped natural frequency of closed loop poles is

Answer» .
79.

An open loop system has a forward path transfer function (42.25)/( + 6.5). The unit step response of the system starting from rest will have its maximum value at a time equal to

Answer» Unit step response is Taking inverse transform, the time domain response is - 1 + 6.5t + e-6-5t. It reaches maximum value at t = infinity.
80.

In the given figure

Answer» Use block diagram algebra.
81.

A system has transfer function. If a sinusoidal input of frequency ω is applied the steady state output is of the form

Answer» For sinusoidal input jω replaces s in the transfer function.
82.

For the given figure C()/R() =

Answer» or .
83.

For a quadratic factor in transfer function the phase angle is not a function of damping factor.

Answer» Damping ratio affects phase angle.
84.

The current rating of dc tachogenerator is usually

Answer» Control systems require small current rating of components.
85.

For the compensator in the given figure the maximum phase lead is

Answer» Hence Also sin φm = = 0.5 and φm = 30°.
86.

For G(ω) =

Answer» When ω = 0, phase angle is 0. For high values of phase angle = - 90° - 90° = 180°.
87.

The transient response of a second order system is given by for 5% criterion the settling time is

Answer» For 5% criterion settling time = 3T = . Since ξωn = 4, and 3T = 0.75 secs.
88.

The polar plot of a transfer function passes through (-1, 0) point. The gain margin is

Answer» When polar plot passes through (-1, 0) the system is on limit of stability and gain margin is zero.
89.

The gain margin for a stable system

Answer» For a stable system gain margin is positive. Therefore decibel value is also positive.
90.

The signal flow graph of a system is shown in the given figure. The effect of disturbance T can be reduced by

Answer» If G1(s) is increased, input is amplified more while disturbance remains the same.
91.

In the given figure, P = P sin ω. Then X() =

Answer» If P = Pm, sin ω .
92.

The action of bellows is similar to that of

Answer» Spring and bellows convert force into displacement.
93.

A lead compensator is basically a

Answer» See transfer function in the equation .
94.

The system in the given figure

Answer» The relative extent of negative and positive feedbacks determines stability.
95.

The units of thermal capacitance are

Answer» Heat energy (kcal) is analogous to electric charge and temperature is analogous to voltage. .
96.

The transfer function can be for

Answer» For a lead compensator and a < 1 Therefore is more than .
97.

In response to a unit step input the controller output in given figure is for

Answer» The intercept on y-axis is due to proportional action and inclined line is due to integral action.
98.

For very low frequencies, log magnitude for the given figure is

Answer» If f very low, XC is very high and V0 &backsimeq; Vi.
99.

If , initial and final values of () are

Answer» Use initial and final value theorems.
100.

In the given figure the input frequency = 0.1 (1/2 RC)

Answer» XC = 10R. Hence V0 &backsimeq; Vi .