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GATE 2022 Toppers Weekly Quiz 7

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Question 1

The transfer function of a PID controller is given by G(s) = 10[1++2s] as ω tends to zero

Question 2

The matrix has det A = 100 and trace A=14
The value of is?

Question 3

The Fourier series coefficient for the periodic signal below is

Question 4

In the circuit shown in figure below, what is the value of RL such that maximum power is transferred to the load?

Question 5

In a silicon p–n junction, the variation of the hole concentration in the space charge region is shown in the figure below, where the hole concentration changes from PPO to Pno aver the space charge layer width

The hole diffusion constant in the space charge region is 6.5 cm2/sec. Then the hole diffusion current density JP is _______ kA/cm2.
(Note: Depletion width in the p–side, xp = 1 and in the n–side, xn = 2 )

Question 6

In a lightly depend p–type semiconductor, the corresponding acceptor dopping concentration to get minimum conducting is ____ 1010 cm–3.

(Assume intrinsic carries concentration is ni = 2.5 x 1010/cm3 & p = 0.4 n)

Question 7

The Nyquist plot for a stable open loop system is shown below:

For , how many closed loop poles of a unity feedback system are in the right half of s-plane

Question 8

The switch S in the circuit of figure has been closed for a long time and is opened at t = 0. The current i(t) for t > 0 is

Question 9

The solution curve of the differential equation passes through the point (1,0). Then among the points given below, the curve also passes through:

Question 10

Consider the channel

P(Y/X) =

P(X1) =1/8 P(X2) =1/8 P(X3) =6/8

Calculate information carried by the channel.

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Aug 23ESE & GATE EC