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GATE EE 2012

MCQ (Single Correct Answer)

-0.3

The slip of an induction motor normally does not depend on

rotor speed

synchronous speed

shaft torque

core-loss component

GATE EE 2012

MCQ (Single Correct Answer)

-0.6

The locked rotor current in a 3-phase, star connected 15 kW, 4-pole, 230 V, 50 Hz induction motor at rated conditions is 50 A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a 236 V, 57 Hz supply is

58.5 A

45.0 A

42.7 A

55.6 A

GATE EE 2012

MCQ (Single Correct Answer)

-0.3

If $$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/2} \right)^n}\,u\left[ n \right],$$ then the region of convergence $$(ROC)$$ of its $$Z$$-transform in the $$Z$$-plane will be

$${1 \over 3} < \left| z \right| < 3$$

$${1 \over 3} < \left| z \right| < {1 \over 2}$$

$${1 \over 2} < \left| z \right| < 3$$

$${1 \over 3} < \left| z \right|$$

GATE EE 2012

MCQ (Single Correct Answer)

-0.3

The unilateral Laplace transform of $$f(t)$$ is
$$\,{1 \over {{s^2} + s + 1}}.$$ The unilateral Laplace transform of $$t$$ $$f(t)$$ is

$$ - {s \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

$$ - {{2s + 1} \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

$${s \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

$${{2s + 1} \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

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