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GATE 2021: Toppers Quiz-16 (App update required to attempt this test)

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Question 1

A tunnel diode is a P-N junction in which

Question 2

For the circuit shown  = 0.7 V and β is very high. Then the value of Vo is

Question 3

For the signal shown below the maximum value of the output signal will be _____, if it is applied to the matched filter.

Question 4

The current in the RL-circuit shown below is i(t) =

The value of the inductor (rounded off to two decimal places) is ……. H.

Question 5

An anlog signal of bandwidth 20kHz is sampled at a rate of 40kHz and qunatized into 16 levels .the resultant digital signal is transmitted using M-ary PSK with raised cosine pulse (roll off factor 0.3) if the channel with 110kHz bandwidth is available to tansmit the data ,then smallest acceptable value of M is____

Question 6

Let μ=10-5H/m, ϵ = 4 ×10-9F/m, σ =0 and ρV = 0. Find K so that D = 6ax – 2ay + 2zaz nC/m2 and H = kxax – 10yay - 25 zaz A/m satisfies Maxwell’s equations.

Question 7

The state variable representation of a plant is given by:

X = AX + BU

Y = CX

Where X is the state, U is the input and Y is the output Assuming zero initial conditions the impulse response of the plant is given by:

Question 8

The minimum number of d flip-flops needed to design, a mod-300 is ____

Question 9

The integral is equal to ______.

Question 10

The Junction capacitance of diffused Junction (with applied voltage = VB) is proportional to

Question 11

A Si p-n junction diode of length (L) has doping profile shown below

If the applied reverse bias voltage VR = 10 V, the space charge region width is ______ μm. (Assume ni = 1.5 × 1010/cm3. VT = 0.0259 V)

Question 12

For the circuit in Figure find V0(t) for t > 0

Determine the time necessary for the capacitor voltage to decay capacitor voltage to decay to are one third of its value at t = 0

Question 13

Twenty-four voice signals are sampled uniformly and then time-division multiplexed. The sampling operation uses flat top samples with 1 duration .The multiplexing operation includes provision for synchronization by adding an extra pulse of appropriate amplitude and 1 duration. The highest frequency component of each voice signal is 3.4 kHz. If sampling rate is 8 kHz, then the spacing between successive pulses of the multiplexed signal is ___________()

Question 14

An air filled rectangular waveguide of dimensions a = 4 cm, b = 2 cm transports energy in the dominant mode at a rate of 2 mw. If the frequency of operation is 10 GHz. Determine the peak value of electric field in the wave guide?

Question 15

The phase margin for the system with open loop transfer function of is

Question 16

A sequential circuit with asynchronous clear inputs is shown below with clock frequency . Let initially, then the frequency of the waveform at is _____ KHz.

Question 17

The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is _________.

Question 18

Given an uniform electric field Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image121.png in a medium with Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image122.png for Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image123.png,is incident onto a medium with Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image124.png=4 for Z<0.
The electric field Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image125.png for Z<0 is given by

Question 19

If the Hall constant (RH) of a p–type semiconductor sample is 6.4 × 103 cm3 /C, then the thermal equilibrium concentration of holes in that sample is _______ × 1014 cm–3. (Assume charge of electron = 1.6 × 10–19 C)

Question 20

Consider the circuit shown in the figure. Input voltage varies from 20 V to 30 V and the load current varies from 0 to 100 mA.



Find Rs(min) such that Zener is always ON and at least a knee current of 10 mA flows through diode and Calculate the power rating of the zener.

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Jun 17ESE & GATE EC