GATE IN year:2020 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Assume the diodes in the circuit shown are ideal. The current

flowing through the 3 kΩ resistor (in mA, rounded off to one decimal place) is ____

Diagram for Instrumentation Engineering question 51

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A 1000/1 A, 5 VA, UPF bar-primary measuring current transformer has 1000 secondary turns. The current transformer exhibits a ratio error of −0.1% and a phase error of 3.438 minutes when the primary current is 1000 A. At this operating condition, the rms value of the magnetization current of the current transformer (in amperes, rounded off to two decimal places) is ____

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The mutual inductances between the primary coil and the secondary coils of a linear variable differential transformer (LVDT) shown in the figure are

and

. Assume that the self-inductances

and

remain constant and are independent of

. When

is in the range ±10 mm,

and

change linearly with

. At

mm or −10 mm, the change in the magnitudes of

and

is 0.25

. For a particular displacement

, the voltage across the detector becomes zero when

. The value of

(in mm, rounded off to one decimal place) is ____

Diagram for Instrumentation Engineering question 53

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In the Maxwell-Wien bridge shown, the detector D reads zero when

and

. The Q factor of the coil is ___

Diagram for Instrumentation Engineering question 54

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The loop transfer function of a negative feedback system is

. The phase margin of the system (in degrees, rounded off to one decimal place) is ___

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GATE IN year:2020 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55