GATE IN exam:gate PYQs & Answers — Page 13

Questions 121–130 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 13 of 65

Consider an AC bridge shown in the figure with

, and a detector

. The source voltage is

. At the bridge balance condition, the frequency of the excitation source

is ________ kHz (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 56

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An air filled parallel plate electrostatic actuator is shown in the figure. The area of each capacitor plate is 100 μm × 100 μm. The distance between the plates

μm when both the capacitor charge and spring restoring force are zero as shown in Figure (a). A linear spring of constant k = 0.01 N/m is connected to the movable plate. When charge is supplied to the capacitor using a current source, the top plate moves as shown in Figure (b). The magnitude of minimum charge (Q) required to momentarily close the gap between the plates is ______×

C (rounded off to two decimal places).

Note: Assume a full range of motion is possible for the top plate and there is no fringe capacitance. The permittivity of free space is

F/m and relative permittivity of air (

) is 1.

Diagram for Instrumentation Engineering question 57

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The resistance of a thermistor is measured to be 2.25 kΩ at 30 °C and 1.17 kΩ at 60 °C. Its material constant

is __________ K (rounded off to two decimal places).

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A feedback control system is shown in the figure.

Diagram for Instrumentation Engineering question 59

The maximum allowable value of

such that the output

, due to any step disturbance signal

, becomes zero at steady-state, is ________ (in integer).

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The circuit given in the figure is driven by a voltage source

V. The system is operating at a frequency of 50 Hz. The transformers are assumed to be ideal. The average power dissipated, in W, in the 50 kΩ resistance is ______ (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 60

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In the circuit shown, the galvanometer (G) has an internal resistance of 100 Ω. The galvanometer current

is ______ μA (rounded off to the nearest integer).

Diagram for Instrumentation Engineering question 61

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A series RLC circuit resonates at 750 rad/s for inductance L = 20 mH and resistance R = 10

. The uncertainties in the measurement of L and R are 0.8 mH and 0.3

, respectively. The percentage uncertainty in the measurement of quality factor is ______% (rounded off to one decimal place).

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In the circuit shown, the switch is opened at

s. The current

ms is ____________ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 63

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A signal

V is applied to the circuit consisting of a switch S and capacitor C = 0.1

F, as shown in the figure. The output

of the circuit is fed to an ADC having an input impedance consisting of a 10 M

resistance in parallel with a 0.1

F capacitor. If S is opened at

s, the value of

s will be ______ V (rounded off to two decimal places).

Note: Assume all components are ideal.

Diagram for Instrumentation Engineering question 64

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For the circuit shown in the figure, the active power supplied by the source is ______ W (rounded off to one decimal place).

Diagram for Instrumentation Engineering question 65

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GATE IN exam:gate PYQs

Question 56

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Question 63

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Question 65