Instrumentation Engineering
GATE IN discipline:electrical-electronics-and-instrumentation PYQs
Build your understanding with focused practice from past exam papers.
Questions 251–260 of 650. Imported answers require independent review unless marked reviewed.
Question 56
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The figure below shows a feedback amplifier constructed using an nMOS transistor. Assume that
mA/V
, threshold voltage
V and W/L = 2. The bias voltage at the drain terminal is 4 V. The capacitors
offer zero impedance at the signal frequency. The ratio
is ____________(rounded off to two decimal places). 
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Consider the real-valued function
, where
. The minimum value attained by
is ______ (rounded off to one decimal place).Log in to check the answer
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A short-circuit test is conducted on a single-phase transformer by shorting its secondary. The frequency of input voltage is 1 kHz. The corresponding wattmeter reading, primary current and primary voltage are 8 W, 2 A and 6 V respectively. Assume that the no-load losses and the no-load currents are negligible, and the core has linear magnetic characteristics. Keeping the secondary short, the primary is connected to a 2 V (RMS), 1 kHz sinusoidal source in series with a
mF capacitor. The primary current (RMS) will be _____ A (rounded off to two decimal places).Log in to check the answer
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The opamps in the circuit are ideal. The input signals are
V and
V. The average value of the voltage
is _____ V (rounded off to two decimal places).
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In the circuit shown, the input voltage
mV. The switch and the opamp are ideal. At time
, the initial charge stored in the 10 nF capacitor is 1 nC, with the polarity as indicated in the figure. The switch S is controlled using a 1 kHz square-wave voltage signal
as shown. Whenever
is ‘High’, S is in position ‘1’ and when
is ‘Low’, S is in position ‘2’.
At
ms, the magnitude of the voltage
will be ______ mV (rounded off to the nearest integer).Log in to check the answer
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In the diagram shown, the frequency of the sinusoidal source voltage
is 50 Hz. The load voltage is 230 V (RMS), and the load impedance is
. The value of attenuator
. The multiplier output voltage
, where
and
are the inputs. The magnitude of the average value of the multiplier output
is __________ V (rounded off to one decimal place).
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In the circuit shown, assuming an ideal opamp, the value of the output voltage
____ V (rounded off to one decimal place).
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The rank of the matrix
given below is one. The ratio
is ______ (rounded off to the nearest integer).
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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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The voltage source
V has an internal resistance of 50 Ω. The RMS value of the current through R is ______mA (rounded off to one decimal place).
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