GATE IN topic:instrumentation PYQs & Answers — Page 25

Questions 241–250 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 25 of 65

In the circuit shown,

rad/s,

and

mH. The capacitance

for which

is purely real is ____________ mF (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 46

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The R-L circuit with

and

mH is excited by a step current

. At

, there is a current

flowing through the inductor. The minimum time taken for current through the inductor to reach 99% of its final value is ______

s (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 47

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Consider a standard negative feedback configuration with

and the controller

. The root-locus of

is presented in the figure below.

Diagram for Instrumentation Engineering question 48

The gain

rad/s. The value of

is ______ (rounded off to one decimal place).

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How many five-digit numbers can be formed using the integers 3, 4, 5 and 6 with exactly one digit appearing twice?

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The phase margin of the transfer function

is ________ degrees. (rounded off to the nearest integer).

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A wire-wound ‘resistive potentiometer type’ angle sensor with 72 turns is used in an application. The first turn of the potentiometer is connected to ground while its last turn is connected to 3.6 V. The width of the wiper covers two turns ensuring make-before-break. The output (wiper) voltage when the wiper is on top of both the turns 35 and 36 is ______ V (rounded off to two decimal places).

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The two secondaries of a linear variable differential transformer (LVDT) showed a magnitude of 2 V (RMS) for zero displacement position of the core. It is noted that the phase of one of the secondaries has a deviation of one degree from the expected phase. Other than this deviation, the LVDT is ideal.

If the differential output sensitivity of the LVDT is 1 mV (RMS)/1

m, the output for zero displacement is __________

m (rounded off to one decimal place).

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Five measurements are made using a weighing machine, and the readings are 80 kg, 79 kg, 81 kg, 79 kg and 81 kg. The sample standard deviation of the measurement is ____________ kg (rounded off to two decimal places).

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Four strain gauges

and

, each with nominal resistance

, are connected in a bridge configuration. When a force is applied,

and

increase by

and

decrease by

as shown. A potentiometer with total resistance

is connected as shown. If

, and

, the minimum value of resistance

required to balance the bridge is _____

(rounded off to two decimal places).

Diagram for Instrumentation Engineering question 54

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A sinusoidal current of

mA is flowing through a 4 H inductor which is mutually coupled to another 5 H inductor carrying

as shown in the figure. The coupling coefficient between the inductors is 0.6. The peak energy stored in the circuit is _________

J (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 55

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GATE IN topic:instrumentation PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55