GATE IN year:2021 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

An air cored coil having a winding resistance of 10 Ω is connected in series with a variable capacitor

. The series circuit is excited by a 10 V sinusoidal voltage source of angular frequency 1000 rad/s. As the value of the capacitor is varied, a maximum voltage of 30 V was observed across it. Neglecting skin-effect, the value of the inductance of the coil in millihenry is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A household fan consumes 60 W and draws a current of 0.3125 A (rms) when connected to a 230 V (rms) ac, 50 Hz single phase mains. The reactive power drawn by the fan in VAr is __________ (rounded off to the nearest integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given

, where * denotes convolution operation. The value of

is ____________ (rounded off to two decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The input signal shown below is passed through the filter with the following taps.

Diagram for Instrumentation Engineering question 44

The number of non-zero output samples is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A sinusoid

, where

is the step input, is applied to a system with transfer-function

. The amplitude of the steady state output is ____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a system with transfer-function

. A unit step function

is applied to the system, which results in an output

. If

, then

is ___.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The circuit shown below uses an ideal OpAmp. Output

in volt is ______ (rounded off to one decimal place).

Diagram for Instrumentation Engineering question 47

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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 _____.

Diagram for Instrumentation Engineering question 48

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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) __________.

Diagram for Instrumentation Engineering question 49

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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 _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN year:2021 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50