GATE EE 2020 PYQ

The cross-section of a metal-oxide-semiconductor structure is shown schematically. Starting from an uncharged condition, a bias of +3V is applied to the gate contact with respect to the body contact.

A common-source amplifier with a drain resistance, , is powered using a 10 V power supply. Assuming that the transconductance, , the voltage gain of the amplifier is closest to:

The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent resistance, . Where T is the temperature in . The

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

A stable real linear time-invariant system with single pole at p, has a transfer function with a dc gain of 5. The smallest positive frequency, in rad/s at unity gain is closed to:

Consider a linear time-invariant system whose input r(t) and output y(t) are related by the following differential equation. The poles of this system are at

Consider a negative unity feedback system with forward path transfer function , where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the

Consider a negative unity feedback system with the forward path transfer function , where K is a positive real number. The value of K for which the system will have some of its poles on the imaginary

Which of the options is an equivalent representation of the signal flow graph shown here?

An 8085 microprocessor accesses two memory locations (2001 H) and (2002H), that contain 8-bit numbers 98H and B1H respectively. The following program is executed: LXI H, 2001 H MVIA, 21H INX H ADD M I

A sequence detector is designed to detect precisely 3 digital inputs, with overlapping sequences detectable. For the sequence (1,0,1) and input data (1,1,0,1,0,0,1,1,0,1,0,1,1,0): what is the output o

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 curren

are, respectively, the rms and average values of , and similarly, are, respectively, the rms and average values of are independent of t. Which of the following is true?

The Thevenin equivalent voltage, , in V (rounded off to 2 decimal places) of the network shown below, is _______ .

A non-ideal Si-based pn junction diode is tested by sweeping the bias applied across its terminals from -5 V to +5 V. The effective thermal voltage, , for the diode is measured to be (29 2) mV. The re

Currents through ammeters A2 and A3 in the figure are respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) is ________ A.

A three-phase, 50 Hz, 4-pole induction motor runs at no-load with a slip of 1%. With full load, the slip increases to 5 %. The % speed regulation of the motor (rounded off to 2 decimal places) is ____

The figure below shows the per-phase Open Circuit Characteristics (measured in V) and Short Circuit Characteristics (measured in A) of a 14 kVA, 400 V, 50 Hz, 4-pole, 3-phase, delta connected alternat

A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is supplying 100 A current to a 0.9 lagging power factor load. An ideal reactor is now connected

A three-phase cylindrical rotor synchronous generator has a synchronous reactance and a negligible armature resistance. The magnitude of per phase terminal voltage is and the magnitude of per phase in

A 250 V dc shunt motor has an armature resistance of 0.2 and a field resistance of 100 . When the motor is operated on no-load at rated voltage. It draws an armature current of 5 A and runs at 1200 rp

Windings 'A', 'B' and 'C' have 20 turns each and are wound on the same iron core as shown, along with winding 'X' which has 2 turns. The figure shows the sense (clockwise/ anti-clockwise) of each of t

Consider a permanent magnet dc (PMDC) motor which is initially at rest. At t=0, 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 f

A conducting square loop of side length 1 m is placed at a distance of 1 m from a long straight wire carrying a current l=2 A as shown below. The mutual inductance, in nH (rounded off to 2 decimal pla

A single 50 Hz synchronous generator on droop control was delivering 100 MW power to a system. Due to increase in load, generator power had to be increased by 10 MW. as a result of which, system frequ

A single-phase, 4 kVA, 200 V/100 V, 50 Hz transformer with laminated CRGO steel core has rated no-load loss of 450 W. When the high-voltage winding is excited with 160 V, 40 Hz sinusoidal ac supply, t

A cylindrical rotor synchronous generator has steady state synchronous reactance of 0.7 pu and subtransient reactance of 0.2 pu. It is operating at (1+j0) pu terminal voltage with an internal emf of (

Let be unit vectors along directions, respectively in the cylindrical coordinate system. For the electric flux density given by Coulomb/ , the total electric flux, in Coulomb, emanating from the volum

The vector function expressed by represents a conservative field, where are unit vectors along x, y and z directions, respectively. The values of constants are given by:

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 directio

A single-phase, full-bridge diode rectifier fed from a 230 V, 50 Hz sinusoidal source supplies a series combination of finite resistance. R, and a very large inductance, L, The two most dominant frequ

A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at , and the capacitor voltage is found to cross 0 V at , where is the circuit time consta

A single-phase, full-bridge, fully controlled thyristor rectifier feeds a load comprising a 10 resistance in series with a very large inductance. The rectifier is fed from an ideal 230 V, 50 Hz sinuso

Consider the diode circuit shown below. The diode, D, obeys the current-voltage characteristic , where is the voltage across the diode and is the current through it. The circuit is biased so that volt

Thyristor is triggered at an angle (in degree), and at angle , in each cycle of the sinusoidal input voltage. Assume both thyristors to be ideal. To control the load power over the range 0 to 2 kW, th

A single-phase inverter is fed from a 100 V dc source and is controlled using a quasisquare wave modulation scheme to produce an output waveform, . as shown. The angle is adjusted to entirely eliminat

In the dc-dc converter circuit shown, switch Q is switched at a frequency of 10 kHz with a duty ratio of 0.6. All components of the circuit are ideal, and the initial current in the inductor is zero.

A double pulse measurement for an inductively loaded circuit controlled by the IGBT switch is carried out to evaluate the reverse recovery characteristics of the diode. D, represented approximately as

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

A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a dis

Bus 1 with voltage magnitude is sending reactive power towards bus 2 with voltage magnitude through a lossless transmission line of reactance X. Keeping the voltage at bus 2 fixed at 1 p.u., magnitude

Out of the following options, the most relevant information needed to specify the real power (P) at the PV buses in a load flow analysis is

Two buses, i and j, are connected with a transmission line of admittance Y, at the two ends of which there are ideal transformers with turns ratios as shown. Bus admittance matrix for the system is:

Consider a signal , where 1[n]=0 if , and 1[n]=1 if The z-transform of is with region of convergence being

Which of the following statements is true about the two sided Laplace transform?

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

Suppose for input a linear time-invariant system with impulse response produces output , so that . Further, if , which of the following statements is true?

The causal realization of a system transfer function H(s) having poles at (2,-1), (-2,1) and zeroes at (2,1), (-2,-1) will be