GATE IN format:nat PYQs & Answers — Page 9

Questions 81–90 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 9 of 27

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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The figure below shows a feedback amplifier constructed using an nMOS transistor. Assume that

mA/V

, threshold voltage

V and W/L = 2. The bias voltage at the drain terminal is 4 V. The capacitors

offer zero impedance at the signal frequency. The ratio

is ____________(rounded off to two decimal places).

Diagram for Instrumentation Engineering question 56

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Consider the real-valued function

, where

. The minimum value attained by

is ______ (rounded off to one decimal place).

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A short-circuit test is conducted on a single-phase transformer by shorting its secondary. The frequency of input voltage is 1 kHz. The corresponding wattmeter reading, primary current and primary voltage are 8 W, 2 A and 6 V respectively. Assume that the no-load losses and the no-load currents are negligible, and the core has linear magnetic characteristics. Keeping the secondary short, the primary is connected to a 2 V (RMS), 1 kHz sinusoidal source in series with a

mF capacitor. The primary current (RMS) will be _____ A (rounded off to two decimal places).

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The opamps in the circuit are ideal. The input signals are

V and

V. The average value of the voltage

is _____ V (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 59

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Question 59