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GATE 2022 Boost up Quiz 2.0

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Question 1

The current I in a forward biased p+n junction shown in figure (a) is entirely due to diffusion of hole from x=0 to x=L. The injected hole concentration distribution in the region is linear as following figure (b) with p(0) = 1012 cm3 and L = 10–3 cm


The current density in the diode assuming that the diffusion coefficient is 12 cm2/sec

Question 2

Taylor series expansion of around has the form

The coefficient (correct to two decimal places) is equal to ____________.

Question 3

All the logic gates shown in the figure have a propagation delay of 20 ns. Let A = C = 0 and B = 1 until time t = 0. At t = 0, all the inputs flip (i.e., A = C = 1 and B = 0) and remain in that state. For t > 0, output Z = 1 for a duration (in ns) of _________.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image190.jpg

Question 4

Consider the following network

Question 5

Refer the following figure to find the value of ICQ and VCEQ. R2=R4=4kΩ, R3=2kΩ and VCC=12V. Assume VBE=0.7V.

Question 6

The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0.
The current i(t) (in ampere) at t = 0.5 seconds is ________
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Question 7

A state-space representation of a system is given by

The time response of this system will be

Question 8

For a LTI system shown below

The input random process X(τ) is RX(τ) = , given ; , β are constant, u(τ) is unit step function. The PSD of output process y(t),  will be

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Dec 11ESE & GATE EC