GATE IN format:nat PYQs & Answers — Page 7

Questions 61–70 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 7 of 27

Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of 500 mH. When connected in series-opposing configuration, the coils have a total inductance of 300 mH. If the self-inductance of both the coils are equal, then the coupling coefficient is ________ (rounded off to two decimal places).

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The solution of an ordinary differential equation

Given

and

, the value of

is ________ (rounded off to nearest integer).

Note:

and

are constants.

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A random variable X has a probability density function

The probability of X > 2 is _________ (rounded off to three decimal places).

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The number of zeros of the polynomial

in the right-half plane is _____.

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The number of times the Nyquist plot of

encircles the origin is ____.

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The opamp in the circuit shown is ideal, except that it has an input bias current of 1 nA and an input offset voltage of 10 μV. The resulting worst-case output voltage will be ±_____ μV (rounded off to the nearest integer).

Diagram for Instrumentation Engineering question 26

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The force per unit length between two infinitely long parallel conductors, with a gap of 2 cm between them is 10 μN/m. When the gap is doubled, the force per unit length will be __________ μN/m (rounded off to one decimal place).

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Consider the discrete-time signal

where

The smallest

for which

is ______.

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Let

, where

is a continuous-time period signal with fundamental period of 100 s. The fundamental period of

is _____ s (rounded off to the nearest integer).

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When the bridge given below is balanced, the current through the resistor Rₐ is _____ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 30

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