Instrumentation Engineering
GATE IN topic:measurement PYQs
Build your understanding with focused practice from past exam papers.
Questions 181–190 of 650. Imported answers require independent review unless marked reviewed.
Question 51
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In the figure shown,
,
, and INA is assumed to be ideal. The equivalent resistance between A and B is ____ k
(rounded off to nearest integer). 
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Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched ON at
. Assuming the opamp to be ideal, the frequency of the output voltage
is __________ kHz (rounded off to two decimal places). 
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The 4-point DFTs of two sequences x[n] and y[n] are X[k] = [1, −j, 1, j] and Y[k] = [1, 3j, 1, −3j], respectively. Assuming z[n] represents the 4-point circular convolution of x[n] and y[n], the value of z[0] is ________ (rounded off to nearest integer).
Note: The DFT of an N-point sequence x[n] is defined as
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Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor R_x is ____ Ω (rounded off to nearest integer).
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Consider a unity negative feedback system with its open-loop pole-zero map as shown in the figure. If the point s = jα, α > 0, lies on the root locus, the value of α is ________ (rounded off to nearest integer).
Note: The poles are marked with × in the figure.
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A shielded cable with C_stray = 20 pF and R_wire = 10 Ω is used to connect the inductive sensors as shown in the figure. The RMS value of V_out is ____ V (rounded off to two decimal places).
Note: Assume all components are ideal, and sensors are not magnetically coupled.
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In the figure shown, the diode current is given by
. V_D is the diode voltage in volts, T is the absolute temperature in Kelvin, α = 1.16 × 10⁴ K/V, and I_S = 10⁻¹⁵ A is the saturation current. The dc current source, opamp and the resistors are ideal, and are assumed to be temperature independent. The change in the output voltage (V_out) per Kelvin change in temperature is ________ mV (rounded off to one decimal place). 
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An ADC has a full scale voltage of 1.4 V, resolution of 200 mV, and produces binary output data. The input signal of the ADC has a bandwidth of 500 MHz, and it samples the data at the Nyquist rate. The parallel data output is converted to a serial bit stream using a parallel-to-serial converter. The data rate at the output of the parallel-to-serial converter is ____ Gbps (rounded off to nearest integer).
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In the circuit shown, assume the opamp is ideal and the initial charge on the capacitor is zero. The output voltage at time t = 2 ms is ____ V (rounded off to one decimal place).
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In the figure shown, S_W is a switch whose position changes from 1 to 0 when V_C changes from logic HIGH to LOW and vice versa. The bandwidth of the permanent magnet moving coil (PMC) type voltmeter is 1 Hz. If V_sense = 2 sin(4000πt) V and V_ref = 4 sin(2000πt) V, the voltmeter reading is ______ V (rounded off to nearest integer).
Note: Assume all components are ideal.
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