Instrumentation Engineering
GATE IN topic:process-control PYQs
Build your understanding with focused practice from past exam papers.
Questions 381–390 of 650. Imported answers require independent review unless marked reviewed.
Question 46
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Consider a system with transfer-function
. A unit step function
is applied to the system, which results in an output
. If
, then
is ___.Log in to check the answer
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The circuit shown below uses an ideal OpAmp. Output
in volt is ______ (rounded off to one decimal place).

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All the transistors used in the circuit are matched and have a current gain
of 20. Neglecting the Early effect, the current
in milliampere is _____.

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The power in a 400 V (rms, line-line) three-phase, three-wire RYB sequence system is measured using the two wattmeters, as shown. The R-line current is
A. Wattmeter
in the R-line will read (in watt) __________.

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A 3½ digit, rectifier type digital meter is set to read in its 2000 V range. A symmetrical square wave of frequency 50 Hz and amplitude ±100 V is measured using the meter. The meter will read _____.
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A bar primary current transformer of rating 1000/1 A, 5 VA, UPF has 995 secondary turns. It exhibits zero ratio error and phase error of 30 minutes at 1000 A with rated burden. The watt loss component of the primary excitation current in ampere is __________ (rounded off to one decimal place).
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In the bridge circuit shown, the voltmeter V showed zero when the value of the resistors are:
,
, and
. If
, the value of
in ohm is _____.

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For the full bridge made of linear strain gages with gage factor 2 as shown in the diagram,
at 0 °C and strain is 0. The temperature coefficient of resistance of the strain gages used is 0.005 per °C. All strain gages are made of same material and exposed to same temperature. While measuring a strain of 0.01 at a temperature of 50 °C, the output
in millivolt is _____ (rounded off to two decimal places).

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A signal having a bandwidth of 5 MHz is transmitted using the Pulse code modulation (PCM) scheme as follows. The signal is sampled at a rate of 50% above the Nyquist rate and quantized into 256 levels. The binary pulse rate of the PCM signal in Mbits per second is ___.
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In the figure shown, a large multimode fiber with
and
is used for sensing. A portion with the cladding removed passes through a liquid with refractive index
. An LED is used to illuminate the fiber from one end and a paper is placed on the other end, 1 cm from the end of the fiber. The paper shows a spot with radius 1 cm. The refractive index
of the liquid (rounded off to two decimal places) is __________.

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