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GATE 2020: Toppers Quiz 14 (App update required to attempt this test)

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Question 1

Consider a silicon sample doped with donor atoms. Assume that the intrinsic carrier concentration If the sample is additionally doped with acceptor atoms, the approximate number of electrons/cm3 in the sample, at will be _________.

Question 2

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 3

A 400/450 V auto transformer draws power from a 400 V and supplies a 7 kW load with a power factor of 0.8 pf lagging. A second load of 3 kW is supplied at UPF from a 200V winding. Neglecting losses, ….. is the power factor of the transformer?

Question 4

Given below is information related to installed capacity and generation of electricity in India for a specific year:

The closest integral value of capacity utilization for the entire country in the year under consideration is ____________ %.
[Capacity utilization is the ratio of Electricity generated per hour and Installed capacity. Assume that all plants work 365 days a year for 24 hours per day].

Question 5

A current amplifier has an input resistance of 10W, an output resistance of 10kW and a current gain of 1000. It is feed by a current source having a source resistance of 10kW and its output is connected to a 10W load resistance. Find the voltage gain and the power gain.

Question 6

Find the current in all branches and applied voltage if the current in the 5Ω resistor of the network shown in figure is 2A then find total resistance and total voltage?

Question 7

The inverting op-amp shown in figure has an open loop gain of ‘15’. Find the closed loop gain VO/VS.

Question 8

A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?

Question 9

A 20 m length of 300 Ω line must be connected to a 2.5 m length of 100 Ω line that is terminated in a 150 Ω resistor. If the line is lossless and operating at 30 MHz, the characteristic impedance of quarter-wave transformer to match two lines for a VSWR = 1 on main line is _______ Ω.

Question 10

Suppose we have a system as shown in the figure below


the system performs 1’s complement to the input and then 2’s compliment to produce output.
If 3 such systems are connected in cascade and the input applied is 1010 then output is

Question 11

A 4-pole lap wound shunt generator delivers a current of 52A at 240V. The armature resistance is 0.1Ω and field resistance is 110Ω. Calculate the emf generated, if the contact drop per brush may be taken as 1 volt?

Question 12

Determine the current i(t) in the given series RL circuit. Consider

Question 13

Consider the following figure of Nyquist plot regarding gain margin and phase margin.

     
The gain margin of unity feedback system having forward transfer function is

Question 14

Analyze the given networks and determine the value of , if

Question 15

Figure shows the bode magnitude plot of a system. The minimum phase transfer function of the system is given by
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Jan 19ESE & GATE EE