Instrumentation Engineering
GATE IN topic:measurements PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 59. Imported answers require independent review unless marked reviewed.
Question 42
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The real power drawn by a balanced load connected to a 400 V, 50 Hz, balanced, symmetrical 3-phase, 3-wire, RYB sequence mains is measured using the two-wattmeter method. Wattmeter W1 is connected in the R line and wattmeter W2 is connected in the B line. The line current is measured as
A. If the wattmeter W1 reads zero, the reading on W2 (in watts) is ____Log in to check the answer
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A 6½ digit timer-counter is set in the ‘time period’ mode of operation and the range is set as ‘ns’. For an input signal, the timer-counter displays 100000. With the same input signal, the timer-counter is changed to ‘frequency’ mode of operation and the range is set as ‘Hz’. The display will show the number ____
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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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In the Maxwell-Wien bridge shown, the detector D reads zero when
and
. The Q factor of the coil is ___

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Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred value for the common mode rejection ratio (CMRR) of the amplifier, in dB, would be

Your answerChoose one option.
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The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.2 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is ______
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A resistance-meter has five measurement range-settings between 200 Ω and 2 MΩ in multiples of 10. The meter measures resistance of a device by measuring a full-range voltage of 2 V across the device by passing an appropriate constant current for each range-setting. If a device having a resistance value in the range 8 kΩ to 12 kΩ and a maximum power rating of 100 μW is to be measured safely with this meter, the choice for range-setting on the meter for best resolution in measurement, in kΩ, is
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
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The parallel resistance-capacitance bridge shown below has a standard capacitance value of
and a resistance value of
. The bridge is balanced at a supply frequency of 100 Hz for
,
and
. The value of the dissipation factor
of the parallel combination of
and
is ______. (Answer should be rounded off to THREE decimal places)

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A voltage of 6 cos (100πt) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are respectively

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A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100ᵗʰ division. The power consumed by the load (in Watts) is ____ .
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