GATE EE 2021 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

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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2021 · Paper 1

Question 42

Question 43

Question 44