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# GATE EC 2022: Subject Revision Quiz 3

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Question 1

The root locus of a unity feedback control system is shown below

The open loop transfer function of the system is

The open loop transfer function of the system is

Question 2

Assuming that the opamp in the circuit shown below is ideal, the output voltage V

_{0}(in volts) is______Question 3

Consider the two port network given below

For the given network admittance parameter Y

For the given network admittance parameter Y

_{12}is ______ mƱ.Question 4

The signal flow graph of a control system is given below

The number of feedback loops in the system are ___________.

The number of feedback loops in the system are ___________.

Question 5

In the transistor circuit shown below I

_{cbo}=2A at 25^{0}C and doubles for every 10^{0}C increase in temperature.

What is the maximum available value of R_{b} if the transistor is to be remain cut off at 75^{0}C?

Question 6

For the RL circuit shown in the below figure, the inductor is carrying a current of I

If a unit step input is applied at t=0, then the current i(t) at t= will be (assueme )

_{0}for t<0.If a unit step input is applied at t=0, then the current i(t) at t= will be (assueme )

Question 7

For the Zener diode shown in the figure, the Zener voltage at the knee is 7V, the knee current is negligible and the Zener dynamic resistance is 10Ω. If the input voltage (V

_{i}) range is from 10 to 16V, the output voltage (V_{0}) ranges fromQuestion 8

The open loop transfer function of a unity feedback system is

The value of ‘

The value of ‘

*T*’ to drive the system on to the verge of instability isQuestion 9

An astable multivibrator circuit using IC 555 timer is shown below. Assume that the circuit is oscillating steadily

The voltage V

The voltage V

_{C}across the capacitor varies betweenQuestion 10

The forward path transfer function of a unity feedback system is

The system has 10% overshoot and velocity error constant K

The value of K is

The system has 10% overshoot and velocity error constant K

_{v}= 100.The value of K is

Question 11

A load resistance R

_{L}is to be connected between a, b such that power transferred to the load R_{L}is maximum. The value of R_{L}is ________Ω.Question 12

Consider a region of silicon device of electrons and holes, with an ionized donor density of. The electric field at x = 0 is 0 V/cm and the electric field at x = L is 50 kV/cm in the positive x direction. Assume that the electric field is zero in the y and z directions at all points.

Given q =1.6 x10

Given q =1.6 x10

^{-19}coulomb, for silicon, the value of L in nm is_____Question 13

An n-type silicon bar 0.1 cm long and µm^{3} in the cross-sectional area has a majority carrier concentration of 5 × 10^{20}/m^{3} and the carrier mobility is 0.13 m^{2}/V–s at 300 K. If the charge of an electron is 1.6 × 10^{–19} coulomb, if the area of the bar is (**Area = 100 * 10 ^{-12}**) then the resistance of the bar is

Question 14

The parameters of an n-channel MOSFET are μ

_{n}= 650 cm^{2}/V-s; t_{ox}= 200 Å; W/L = 50 and V_{T}= 0.4 V. If the transistor is biased in saturation region, the drain current(in mA) for V_{GS}= 2V is …………Question 15

A shunt voltage regulator using zener diode is designed with the following parameters:

Source voltage=30V, V

Determine the value of R

Source voltage=30V, V

_{z}= 6 volt, P_{z(max)}= 2W, Load current= 0-50mA, I_{z(min)}= 4mADetermine the value of R

_{max}and R_{min}required for the circuit to function properly.- 90 attempts
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