GATE EE kind:question PYQs & Answers — Page 44

Questions 431–440 of 715. Imported answers require independent review unless marked reviewed.

A non-ideal diode is biased with a voltage of −0.03 V, and a diode current of

is measured. The thermal voltage is 26 mV and the ideality factor for the diode is 15/13. The voltage, in V, at which the measured current increases to

is closest to:

Your answerChoose one option.

−0.02

−0.09

−1.50

−4.50

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A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave as an ideal 10 V voltage source for all load currents going down to 0 A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.

Your answerChoose one option.

Short,

A, 10 V

Open, 4 A, 0 V

2.5

, 4 A, 10 V

2.5

, 4 A, 5 V

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The static electric field inside a dielectric medium with relative permittivity,

, expressed in cylindrical coordinate system is given by the following expression

where

are unit vectors along

and

directions, respectively. If the above expression represents a valid electrostatic field inside the medium, then the volume charge density associated with this field in terms of free space permittivity,

, in SI units is given by:

Your answerChoose one option.

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Consider a permanent magnet dc (PMDC) motor which is initially at rest. At

, a dc voltage of 5 V is applied to the motor. Its speed monotonically increases from 0 rad/s to 6.32 rad/s in 0.5 s and finally settles to 10 rad/s. Assuming that the armature inductance of the motor is negligible, the transfer function for the motor is

Your answerChoose one option.

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Which of the following options is correct for the system shown below?

Diagram for Electrical Engineering question 35

Your answerChoose one option.

order and stable

order and unstable

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Consider a negative unity feedback system with the forward path transfer function

, where

is a positive real number. The value of

for which the system will have some of its poles on the imaginary axis is ________.

Your answerChoose one option.

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Suppose for input

, a linear time-invariant system with impulse response

produces output

, so that

. Further, if

, which of the following statements is true?

Your answerChoose one option.

For all

For some but not all

For all

For some but not all

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The causal realization of a system transfer function

having poles at

and zeroes at

will be

Your answerChoose one option.

stable, real, allpass

unstable, complex, allpass

unstable, real, highpass

stable, complex, lowpass

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Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation:

Your answerChoose one option.

is unaffected by the values of

The system is necessarily causal.

The system impulse response is non-zero at infinitely many instants.

When

, the function

is solely determined by the function

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Let

and

be unit vectors along

and

directions, respectively, in the cylindrical coordinate system. For the electric flux density given by

, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 and height 5 m oriented along the z-axis with its base at the origin is:

Your answerChoose one option.

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GATE EE kind:question PYQs

Question 31

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Question 40