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GATE 2022 Toppers Quiz 20

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Question 1

For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as

The steady state error e_ssdue to a unit step input is

Question 2

Find the transfer function

for the block diagram shown in the figure below

Question 3

Let the number of Address lines and data Lines needed be X and Y for the implementation of 2*1 MUX using ROM .Then X+Y =______

Question 4

An enhancement type NMOS transistor is connected as a load device in the circuit with another MOSFET as shown in figure below:

The supply voltage V_DD is fixed at 5 V and input voltage V_in is varied from 0 to 5 V. If both the transistors have negligible effect of channel length modulation and V_T = 1 V, then which one of the following figure represents the transfer characteristics of circuit in a better way?

Question 5

The open loop transfer function of the system is G(s) H(s) =

. The root locus will intersect j

axis at A, the asymptotic line intersect j

at point B

The values are

Question 6

In the circuit shown in figure below, switch S is closed at t = Find the rate of change of current through inductor with respect to time at t = 0⁺. [in KA/sec]