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GATE EE 2019: ThunderBolt Mini Mock 3 (App update required to attempt this test)

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Question 1

For the MOSFET M₁ shown in the figure, assume W/L =2, VDD= 2.0 Volt, μnC_ox = 100 μA/V² and Vth = 0.5 Volt. The transistor M₁ switches from saturation region to linear region when V_in (in volts) is greater than ________.

Question 2

Determine the dc bias voltage V_DS, if V_GS = -3.6 V for the given network.

Question 3

Calculate V₀ for the following circuit, assume V_{BE active} = 0.7 V

Question 4

The transfer function of a phase lead controller is (1 + 3Ts) / (1 + Ts). The maximum value of phase provided by this controller is

Question 5

Breakaway point in the root loci plot for the loop transfer function G(s)H(s) =

Question 6

The low frequency and high frequency asymptotes of bode magnitude plot are respectively -20 dB/decade and -80 dB/decade. What is the type of system?

Question 7

(

, then (x y) is –

Question 8

If the solutions to the quadratic equation

are x= 3 and x= 6, then the base of the number is –

Question 9

The figure shows a digital circuit constructed using negative edge triggered J-K flip flops. Assume a starting state Q₂Q₁Q₀ = 000. This state Q₂Q₁Q₀ = 000 will repeat after _______ number of cycles of the clock CLK.

Question 10

A 3 phase induction motor at rated voltage and frequency has a starting torque of 150 % and a maximum torque of 200% of full load torque. Neglecting stator resistance and rotational losses, the slip at maximum torque is

Question 11

A 3ɸ salient pole generator which is rated at 200 MVA , 11 kV is operating at 175 MW power output at a lagging power factor of 0.75 which is synchronized to 11kV bus. The reactance of generator are Xd=1.74 Ω and Xq=1.02 Ω in p.u .Calculate the excitation emf.

Question 12

A 10 kVA, 1kV/100 V transformer has leakage impedance of 10%. The voltage, to be applied on HV side to circulate full load current with LV shorted, is

Question 13

If the electric field intensity is given by E = (XU_x + YU_y + ZU_z) volt/m, the potential difference between X(2, 0, 0) and Y(1, 2, 3) is

Question 14

The electric flux density vector in a certain region is given by

Find the total charge (in coulomb) enclosed by the cylinder of radius in 1m with

Question 15

A rotating conductor of 1m length is placed in a radially outward (about the z-axis) magnetic flux density (B) of 1 Tesla as shown in figure below. Conductor is parallel to and at 1m distance from the z-axis. The speed of the conductor in r.p,m. required to induce a voltage of 1V across it, should be ______.

Question 16

While measuring power of 3 phase balanced load by two wattmeter method the reading are 100W and 250W. The power factor of load is ______?

Question 17

A 1000/5 A, 50 Hz current transformer has a secondary burden comprising an inductive impedance of 1.6 ohm. The primary winding has one turn. Calculate the flux in the core and ratio error (in %) at full load. Neglect leakage reactance and assume iron loss in core to be 1.5 W, at full load the magnetizing is 100A.

Question 18

The power flowing in a 3 phase 3 wire balanced load system is measured by two wattmeter method the reading of wattmeter A is 7500W and of wattmeter B is -1500W. If the voltage of circuit is 400V then the value of capacitance in microfarads that must be introduced in each phase that would cause whole of the power measured to appear on wattmeter A is________, the frequency is 50Hz.

Question 19

The mean square value of the given periodic waveform f(t) is_________

Question 20

The equivalent resistance between the terminals A and B is ______

Question 21

The power supplied by the 25 V source in the figure shown below is ________W

Question 22

A steady dc current of 100A is flowing through a power module (S.D) as shown in Figure (a). The V-I characteristics of the IGBT (S) and the diode D. are shown in Figures (b) and (c), respectively. The conduction power loss in the power module (S, D), in watts, is

Question 23

The switches T1 and T2 are shown in Figure (a) are switched in a complementary fashion with a sinusoidal pulse width modulation technique. The modulating voltage v_m (t)= 0.8sin

V and the triangular carrier voltage (v_c) are as shown in Figure (b). The carrier frequency is 5kHz. The peak value of the 100 Hz component of the load current

, in ampere, is

Question 24

A three-phase Voltage Source Inverter (VSI) as shown in the figure is feeding a delta connected resistive load of

/phase. If it is fed from a 600V battery, with180^o conduction of solid-state devices, the power consumed by the load, in kW, is _________.

Question 25

A power system network with a total load of 2500MW is operating at 50Hz. The load is varying to 4% for every 2% change in frequency. If suddenly 300Mw load is tripped then the steady state frequency deviation is ……Hz (assume speed regulation parameter is 0.002Hz/Mw)

Question 26

An isolated generator connected to a turbine with its continuous maximum power of 30MW,50Hz. Generator connected with two loads of 10MW, each operate at 50Hz. Generator has 5% droop charcteristics. One of these loads are programmed to trip if frequency fell belows 48Hz. If an additional load of 7Mw is connected then frequency of generator is …

Question 27

Figure represent a power generating station ‘n’ provided with AVR (Automatic Voltage Regulator). The station is connected with the load through 400 kV double circuit transmission line of 220 km length. If the initial real power is of 0.58 pu. At 0.85 (lag) and the load bus voltage i.p.u.