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GATE EE 2019: ThunderBolt Quiz 5 (App update required to attempt this test)

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Question 1

Determine the maximum drain current in mA for the JFET in the given network, if

Question 2

The circuit shown in the figure uses matched transistors with a thermal voltage V_T = 25 mV. The base currents of the transistors are negligible. The value of the resistance R in kΩ that is required to provide 1μA bias current for the differential amplifier block shown is ______.
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Question 3

The describing equation of a mass-damper spring system is given by

Where is the external force acting on the system and is the displacement of mass. The steady state displacement corresponding to the force of 2N is________m.

Question 4

An open loop transfer function of a unity feedback system is

If the gain of the system is increased to 16 and the zeros are removed. Then the steady state error for step input is _________.

Question 5

101101 is in 2’s complement form, its decimal equivalent –

Question 6

16’s complement of BABA is

Question 7

What is the ratio of starting torque(T_st) to full load torque(T_fl) when an induction motor is started using auto transformer and it has a full load slip(S_fl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?

Question 8

A separately excited DC machine is coupled to a 50 Hz, 3-phase, 4 pole induction machine. The DC machine is energized first and the machine rotates at 1600 rpm. Subsequently the induction machine is also connected to 50 Hz, 3-phase source, the phase sequence being consistent with the direction of rotation. In steady state the slip of induction machine will be ……………….. rpm.

Question 9

Find the magnitude of the electric field intensity in V/m at the origin due to an 8nC charge located at (2, –3, 1).

Question 10

A potential function

volts is in free space the stored energy in free space in 2 m³ volume centered at origin is __________

joules

Question 11

A bridge circuit is shown in figure

If R₁ = 1 kΩ R₂ = 500 Ω and R₃ = 4(3 - x) kΩ and R₄ = 6(1 - y) kΩ. If the detector gives 0 deflection then the ratio of x to y is ________.

Question 12

The power delivered by the current source, in the figure, is ________.

Question 13

The given figure shows a step-down dc chopper. A freewheeling diode is placed across the load. The load current varies between 9A to 15A. The value of resistance is 5Ω then time ratio

would be

Question 14

The circuit shown below is initially relaxed with switch closed at t = 0, the conduction time of the diode is ____________ Ns. Capacitance is 4 uF and "Inductance is 2 mH.

Question 15

Two identical unloaded generators are connected in parallel as shown below.

Both the generator are having positive negative and zero sequence impedance of j0.5 p.u., j0.3 p.u. and j0.20 pu respectively. If pre fault voltage is 1 p.u. for a double line (LL fault) fault at the generator terminal, the fault current magnitude in p.u. is ______________

Question 16

Three 6.6 kV, 12 MVA, 3-

at alternator are connected to a common set of bus bars. The positive, negative and zero sequence impedances of each alternator are 15%, 12% and 4.5% respectively. If a line to around fault occurs on the bus bar, the fault current is ____________ kA

(Assume only one alternator neutral is solidly grounded and others are isolated).

Question 17

Consider a continuous time LTI system with frequency response

and

.The value of

at t=1 is …………….

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ESE & GATE EE General

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