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101.

The system in the given figure, has

Answer» Since the plot is very near (-1 + j0) point, gain margin is poor.
102.

The given figure shows a pole zero diagram. The transfer function G(1) is

Answer» Join j1 point with the zero and poles. Find magnitude and phase angles of all these lines.
103.

For very low frequencies, / in the given figure equals

Answer» For low frequencies Xc is very high as compared to R. Hence .
104.

In a minimum phase system

Answer» For stability poles must be in left half plane. Zeros in left half plane lead to minimum phase shift.
105.

For the system of the given figure the transfer function is

Answer» Transfer function = .
106.

In the given figure shows pole-zero plot. If steady state gain is 2 the transfer function G() is

Answer» The zero at - 1 gives the term (s + 1) in the numerator. The poles at (- 2 + j1) and (- 2 - j1) give (s2 + 4s + 5) term is the denominator. Gain is 2.
107.

If a system is to follow arbitrary inputs accurately the bandwidth should be

Answer» Arbitrary inputs require large bandwidth.
108.

For the system of the given figure, the damping ratio of closed loop poles is

Answer» The standard form of characteristic equation is . Therefore .
109.

For the control system in the given figure, the value of K for critical damping is

Answer» since ζ = 1, ωn = 3.5 Hence 2 + 2k = 3.52 = 12.25 or K = 5.125 .
110.

Bode magnitude plot is drawn between

Answer» Frequency is plotted on log scale and magnitude is taken in dB.
111.

For the system in the given figure,

Answer» For inner loop we have transfer function = Then = .
112.

In the given figure, if R = X, voltage gain is

Answer» If R = XC, V0 = 0.5 Vi Hence gain is -3 dB.
113.

For the circuit in the given figure, V()/V() =

Answer» .
114.

If error voltage is (), integral square error =

Answer» Error is squared and integrated.
115.

A lag compensator is essentially a

Answer» See transfer function in the equation , β > 1 where t1 = R1C1, t2 = R2C2 and t > 1.
116.

Stepper motors find applications in

Answer» Stepper motors are used in all these applications.
117.

In the given figure the input frequency is such that

Answer» Voltage across capacitor lags by 90°.
118.

The phase margin and damping ratio have no relation.

Answer» They are related.
119.

For the transport lag G(ω) = , the magnitude is always equal to

Answer» Magnitude is 1.
120.

The log magnitude curve for a constant gain K is a

Answer» The factor K in the numerator of G(jω) gives is straight line at 20 log10 K in Bode plot.
121.

The compensator of the given figure is a

Answer» Obtain transfer function.
122.

In the given figure, of potentiometer V = V (R/R) only when

Answer» If RL is not infinite, the voltage ratio of potentiometer depends on the value of RL. This is called loading effect.
123.

A unity feedback system has open loop transfer function The closed loop transfer function is

Answer» .
124.

Bellows converts

Answer» To measure pressure, it is convenient to convert pressure into displacement and then use a displacement transducer.
125.

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

Answer» If ω = 0, has a magnitude of infinity and phase angle -180°.
126.

In an integral controller

Answer» Output is proportional to integral of input or rate of change of output is proportional to input.
127.

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

Answer» For term the slope is -20 dB/decade or -6 dB/octave because - 20 log 2 = -6 dB.
128.

In the given figure the input is () = A sin ω. The steady state output () =

Answer» The magnitudes A and G(jω) are multiplied and phase angles are added.
129.

In the given figure =

Answer» The input x1 is multiplied by a, x2, by b and x3 by c. The sum total is multiplied by d and e.
130.

First column elements of Routh's tabulation are 3, 5, , 2. It means that there

Answer» Since there are two sign changes in the first column, hence two roots in right half plane.
131.

When a unit step voltage drives a lag network the output

Answer» 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.
132.

For the given figure C()/R()

Answer» .
133.

For the circuit in the given figure,

Answer» .
134.

A system has its two poles on the negative real axis and one pair of poles lies on ω axis. The system is

Answer» Poles on j x-axis lead to oscillations.
135.

A negative feedback system has . The closed loop system is stable for

Answer» Find characteristic equation.
136.

For the given figure,

Answer» For the inner loop, transfer function = Then .
137.

A stepper motor is

Answer» When input pulses are applied, the motor moves in steps.
138.

In a two phase ac servomotor rotor resistance is R and rotor reactance is X. The speed curve will be linear if

Answer» In a two phase servomotor ∠ < 1 so that torque speed curve is almost linear.
139.

In the given figure, the input frequency is such that R = X. Then

Answer» R = XC, voltage drops across R and XC are equal and at 90° with respect by each other. V0 lags Vi by 45°.
140.

From the noise point of view, bandwidth should

Answer» If noise is to be eliminated, bandwidth cannot be large.
141.

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

Answer»
142.

For the system in the given figure the characteristic equation is

Answer» Transfer function = . Hence characteristic equation is .
143.

Mechanical impedance is the ratio of

Answer» In force voltage analogy force is analogous to voltage and velocity to current. Just as , force/velocity = mechanical impedance.
144.

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

Answer» Transfer function = (G1 + 1) G2 + 1 = G1 G2 + G2 + 1.
145.

Whether a linear system is stable or unstable that it

Answer» Stability is a property of the system only.
146.

For the system of the given figure the transfer function =

Answer» , E0(s) = [I(s)][Z2(s)] or .