Q. Consider the following statements:

1. The positiveness of coefficients of characteristic equation is necessary as well as sufficient condition for stability of first and second order systems.
2. The positiveness of coefficients of characteristic equation ensures negativeness of real roots but is not sufficient condition for stability of third and higher order systems.

Out of above statements:

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Q. The frequency at which phase angle is 180° is called

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Q. In a mechanical accelerometer, the steady state displacement is a measure of

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Q. A unity feedback system has G(s) = 10/s(s+1)(s+2). If input r(t) = 1 + 2t + 3/2t³, the steady error is

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Q. Assertion (A): The root locus of a control system is symmetrical about real axis.

Reason (R): For all polynomials with real coefficients, complex poles always occur in conjugate pairs.

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Q. In log magnitude Bode diagram the slope of high frequency asymptote of (1 + jωT) is

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Q. Assertion (A): The time response, usually, is slower with lag compensation.

Reason (R): The natural undamped frequency and bandwidth are increased.

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Q. For the factor 1/(1 + 2jω) the corner frequency is

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Q. A lag compensator provides attenuation in

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Q. A stepper motor is essentially

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Q. In a synchro transmitter

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Q. The polar plot of G(jω) = 1/jω is

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Q. For an unstable system the gain margin is indicative of how much the gain should be decreased to make the system stable.

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Q. For a stable system having two or more gain crossover frequencies the phase margin is measured

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Q. In a second order system, peak overshoot is independent of

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Q. Nyquist plot provides information about absolute stability as well as relative stability.

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Q. Power handling capacity of wire wound potentiometer used in control systems is about

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Q. For stable network the real parts of poles and zeros of driving point functions must be

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Q. A compensating network has Gc(s) = (1+αTs)/(1+Ts) . If it is a phase lag circuit the value of a should be

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Q. If Z is the number of zeros of 1 + G(s) H(s) in the right half s plane. N is the number of clockwise encircle elements of (-1 + jo) point. P is the number of poles of G(s) H(s) in right half s plane. The Nyquist stability criterion can be expressed as

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