GATE EE format:nat PYQs & Answers — Page 13

Questions 121–130 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 13 of 26

In the given circuit, for maximum power to be delivered to

, its value should be __________

. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 40

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One coulomb of point charge moving with a uniform velocity

m/s enters the region

having a magnetic flux density

T. The magnitude of force on the charge at

is __________ N. (

, and

are unit vectors along x-axis, y-axis, and z-axis, respectively.)

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Consider a large parallel plate capacitor. The gap

between the two plates is filled entirely with a dielectric slab of relative permittivity 5. The plates are initially charged to a potential difference of

volts and then disconnected from the source. If the dielectric slab is pulled out completely, then the ratio of the new electric field

in the gap to the original electric field

is __________.

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Consider a continuous-time signal

defined by

for

, and

for

. Let the Fourier transform of

be defined as

. The maximum magnitude of

is __________.

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A belt-driven DC shunt generator running at 300 RPM delivers 100 kW to a 200 V DC grid. It continues to run as a motor when the belt breaks, taking 10 kW from the DC grid. The armature resistance is 0.025

, field resistance is 50

, and brush drop is 2 V. Ignoring armature reaction, the speed of the motor is __________ RPM. (Round off to 2 decimal places.)

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An 8-pole, 50 Hz, three-phase, slip-ring induction motor has an effective rotor resistance of 0.08 Ω per phase. Its speed at maximum torque is 650 RPM. The additional resistance per phase that must be inserted in the rotor to achieve maximum torque at start is ______ Ω. (Round off to 2 decimal places.) Neglect magnetizing current and stator leakage impedance. Consider equivalent circuit parameters referred to stator.

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Consider a closed-loop system as shown.

is the plant transfer function and

is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ______________ rad/s. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 46

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In the given figure, plant

and compensator

. The external disturbance input is

. It is desired that when the disturbance is a unit step, the steady-state error should not exceed 0.1 unit. The minimum value of K is ________. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 47

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The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave rectified waveform to the RMS value of the clipped waveform is _____. (Round off to 2 decimal places.)

Diagram for Electrical Engineering question 48

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The state space representation of a first-order system is given as

where,

is the state variable,

is the control input and

is the controlled output. Let

be the control law, where K is the controller gain. To place a closed-loop pole at

, the value of K is __________.

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GATE EE format:nat PYQs

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49