GATE EE 2017 Question Paper (11-Feb-2017) (Shift 2)

The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is

A cascade system having the impulse response {_1}≤ft( ) = ≤ft\{ {*20l 1, - 1\\ } \} and {_2}≤ft( ) = ≤ft\{ {*20l {1,1}\\ } \} is shown in the figure below, where symbol ↑ denotes the time origin.



The input sequence x(n) for which the cascade system produces an output sequence ≤ft( ) = ≤ft\{ {*20l {1,2,1,- 1,- 2,- 1}\\ } \} is

A 220 V, 10 kW, 900 rpm separately excited DC motor has an armature resistance Rₐ = 0.02 Ω. When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the motor is 70 Nm. Neglecting the rotational losses of the machine, the current drawn by the motor from the 220 V supply is

The root locus of the feedback control system having the real characteristic equation s ²+ 6Ks + 2s + 5 = 0 where K > 0, enters into the real axis at

The range of K for which all the roots of the equation s³ + 3s² + 2s + K = 0 are in the left half of the complex s-plane is