Electrical Engineering
GATE EE discipline:electrical-electronics-and-instrumentation PYQs
Build your understanding with focused practice from past exam papers.
Questions 381–390 of 715. Imported answers require independent review unless marked reviewed.
Question 46
Open questionEENAT2 marksNeeds review
Consider a closed-loop system as shown.
is the plant transfer function and
is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ______________ rad/s. (Round off to 2 decimal places.) 
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In the given figure, plant
and compensator
. The external disturbance input is
. It is desired that when the disturbance is a unit step, the steady-state error should not exceed 0.1 unit. The minimum value of K is ________. (Round off to 2 decimal places.) 
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The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave rectified waveform to the RMS value of the clipped waveform is _____. (Round off to 2 decimal places.)
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The state space representation of a first-order system is given as
where,
is the state variable,
is the control input and
is the controlled output. Let
be the control law, where K is the controller gain. To place a closed-loop pole at
, the value of K is __________.Log in to check the answer
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An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance
between the windings of the transformer is _____ μH. (Round off to 2 decimal places.) 
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A 100 Hz square wave, switching between 0 V and 5 V, is applied to a CR high-pass filter circuit as shown. The output voltage waveform across the resistor is 6.2 V peak-to-peak. If the resistance R is 820 Ω, then the value C is _____ μF. (Round off to 2 decimal places.)
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A CMOS Schmitt-trigger inverter has a low output level of 0 V and a high output level of 5 V. It has input thresholds of 1.6 V and 2.4 V. The input capacitance and output resistance of the Schmitt-trigger are negligible. The frequency of the oscillator shown is ________ Hz.
(Round off to 2 decimal places.)
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Consider the boost converter shown. Switch Q is operating at 25 kHz with a duty cycle of 0.6. Assume the diode and switch to be ideal. Under steady-state condition, the average resistance
as seen by the source is ________
.
(Round off to 2 decimal places.) 
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Consider the buck-boost converter shown. Switch Q is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the inductor is ________ A.
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A single-phase full-bridge inverter fed by a 325 V DC produces a symmetric quasi-square waveform across ‘ab’ as shown. To achieve a modulation index of 0.8, the angle
expressed in degrees should be ________.
(Round off to 2 decimal places.)
(Modulation index is defined as the ratio of the peak of the fundamental component of
to the applied DC value.) 
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