GATE IN concept:current PYQs & Answers

Questions 1–10 of 14. Imported answers require independent review unless marked reviewed.

In a linear element, the measured current is 100 mA ± 2.5% and the measured voltage is 5 V ± 5%. Which of the following options show(s) the consumed power?

Your answerSelect all correct options. You can choose more than one.

(500 ± 37.5) mW

(500 ± 12.5) mW

500 mW ± 7.5%

500 mW ± 2.5%

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In a single-phase AC circuit, the power consumed by load resistance

for an excitation

is measured using a wattmeter. The same wattmeter is connected in two different topologies, Topology-A and Topology-B, as shown in the figure. Different branch currents and voltage drops are also marked in the figure. Among the following options, the condition that ensures low error in the wattmeter reading for both the topologies is

Diagram for Instrumentation Engineering question 21

Your answerChoose one option.

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

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In the figure shown, assume

is the phase angle between the load current and the load voltage

is the phase angle by which pressure coil current lags the pressure coil voltage of the wattmeter

is the phase angle between currents in the pressure coil and the current coil of the wattmeter

is the phase angle of the voltage transformer

is the phase angle of the current transformer

When the load has a lagging phase angle of

, which one of the following options is correct?

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

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When the bridge given below is balanced, the current through the resistor Rₐ is _____ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 30

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A 1.999 V True RMS 3-1/2 digit multimeter has an accuracy of ±0.1 % of reading ±2 digits. It is used to measure 100 A (RMS) current flowing through a line using a 100:5 ratio, Class-1 current transformer with a burden of 0.1 Ω ±0.5 %. The worst-case absolute error in the multimeter output is ________ V (rounded off to three decimal places).

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In an ac main, the rms voltage

, rms current

and power

are measured as:

and

(errors are with respect to readings). The percentage error in calculating the power factor using these readings is

Your answerChoose one option.

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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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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 ____

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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 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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GATE IN concept:current PYQs

How to practice concept:current

Question 29

Question 21

Question 47

Question 30

Question 64

Question 5

Question 51

Question 42

Question 52

Question 23