Instrumentation Engineering
GATE IN topic:process-control PYQs
Build your understanding with focused practice from past exam papers.
Questions 291–300 of 650. Imported answers require independent review unless marked reviewed.
Question 31
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A Zener diode is used as a 4 V voltage regulator in the circuit shown. Given that the diode requires a minimum current of 4 mA for voltage regulation, the maximum current (in milliamperes) permitted to flow through the load
is ______ (round off to one decimal place)

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A bag contains six red balls and four blue balls. If three balls are drawn in succession with replacement, the probability that the second and third balls drawn are red is ______ (round off to two decimal places)
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In the bandpass filter circuit shown,
,
,
. The Q factor of the filter is ________ (round off to two decimal places) 
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The Newton-Raphson method is applied to determine the solution of
where
. If the initial guess of the solution is
, the value of the next approximation
is ________ (round off to two decimal places)Log in to check the answer
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An OPAMP has a gain of
, an input impedance of 10 M
and an output impedance of 100
. The OPAMP is used in unity-gain feedback configuration in a voltage buffer circuit. The closed-loop output impedance of the OPAMP (in milliohms) in the circuit is ________ (round off to one decimal place)Log in to check the answer
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Open questionINMCQ2 marksNeeds review
A signal
shown is applied from
to
to the circuit shown. Given the initial voltage across the capacitor is 0.3 V, and that the diode is ideal, the open circuit voltage
at
is ________ 
Your answerChoose one option.
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The signal flow graph of a system is shown. The expression for
is ________ 
Your answerChoose one option.
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Consider the transfer function
. Bilinear transformation with a sampling period of 0.1 s is employed to obtain the discrete-time transfer function
. Then
is ________Your answerChoose one option.
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A car is moving collinearly with a laser beam emitted by a transceiver. A laser pulse emitted at
s is received back by the transceiver 100 ns (nanoseconds) later after reflection from the car. A second pulse emitted at
s is received back 90 ns later. Given the speed of light is
m/s, the average speed of the car in this interval is ________Your answerChoose one option.
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The signal
, where
is the unit-step function, has the Laplace transform
. The value of
is ________Your answerChoose one option.
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