Q. Consider the following statements about polar plots

1. Addition of a non-zero pole to a transfer function results in further rotation of polar plot through an angle of - 90° as ω → ∞
2. Addition of a pole at the origin to a transfer function rotates the polar plot at zero and infinite frequencies by a further angle of - 90°

Of the above statements:

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Q. The relative stability of a system is given by

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Q. Assertion (A): Nyquist stability criterion uses the number of encirclements around (-1 + j0) point in GH plane to determine stability

Reason (R): The (-1 + j0) point in the s plane lies in the Nyquist path.

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Q. In a two phase servomotor the voltages applied to the two stator windings

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Q. The addition of a pole to the open loop transfer function pulls the root locus

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Q. Polar plot of a lag-lead compensator is a circle.

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Q. For a type 0 system and unit ramp input, the steady state error is

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Q. In control systems the word controller includes

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Q. Assertion (A): When the forward gain of a system is increased, the transient response becomes oscillatory.

Reason (R): Increasing the forward gain reduces steady state error.

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Q. Assertion (A): A. For a unity feedback system, with G(s) = K/s(s+2) , the settling time of step response is constant for all values of K ≥ 1

Reason (R): The real part of the roots for all values of K ≥ 1 are negative.

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Q. Assertion (A): F(s) is valid throughout s plane except at poles of F(s).

Reason (R): £[f1(t) + f2(t)] = £[f1(t)] + £[f2(t)]

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Q. At low frequencies the factor e^(-jωT) and 1/(1+jωT) behave simple.

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Q. The overall transfer function for a unity feedback system is 4/(s² + 4s + 4). Which of the following statements about this system are correct?

1. Position error constant Kp is 4
2. System is type 1
3. Velocity error constant is finite

Select the answer as per following code:

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Q. Bandwidth is proportional to speed of response.

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Q. The complicated shapes in the polar plots are only due to time constants in the numerator of transfer functions.

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Q. For a quadratic factor in denominator of transfer function the phase angle at corner frequency (in Bode phase angle plot)

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Q. In terms of ξ and ωn the settling time (5% criterion) of a second order system for a step input, is equal to

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Q. The poles of an RC function

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Q. G(s) = 1/(s² + 0.2s + 1). It is required that response settles to within 2% of final value for a step input. The settling time is

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Q. If zeros at infinity are included in the count, the number of zeros of G(s) H(s) is

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