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GATE 2020:Topper's Quiz-21 (App update required to attempt this test)

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Question 1

Find the pinch off voltage of a jFET of Nd = 150 cm-3 and channel half-width 25 cm. The permittivity of the material is 1.5 F/cm.

Question 2

The circuit shown which has 1ns, 2ns, 3ns, 4ns, 5ns as respective propagation delays of not gates in order then the total time period of wave produced at output is ___ (ns)

Question 3

A transistor amplifier is fed with a signal source having an open circuit voltage Vsig of 10 mv and an internal resistance Rsig of 100 kΩ. The input voltage Vin and the output voltage V0 are measured both without and with load resistance RL = 10 kΩ connected to amplifier output. The measured results are as follows:

If transistor is modeled as shown in fig 2, then the value of output resistance R0 of the amplifier is ____ kΩ (rounded up to two decimal value)

Question 4

A random variable X has probability density function as

Then find the value of A

Question 5

A material has conductivity and Transition frequency (in MHz) for this will be

Question 6

For the compensator shown below the value of a will be _______.

Question 7

An enhancement type NMOS transistor has threshold voltage of 0.8 V, process transconductance parameter and channel length modulation parameter λ= O, VG = 2.8 V, drain Voltage (VD) = 5 V, Source Voltage VS = 1V and drain current ID = 0.24 m. Then the ratio (W/L) is

Question 8

Calculate the steady state error of a type 1 system if the input is a unit parabolic.

Question 9

In figure all transistors are identical and have a high value of β. The voltage VDC (in volts) is equal to ________.

Question 10

In the circuit shown below, the parameters are = -0.8V and

Then, find the value of is

Question 11

Given a vector field

If the vector field  is solenoidal, then the value of k2+5 will be

Question 12

The sequential circuit shown in figure is a

Question 13

A modulating signal with is transmitted using PCM system. Maximum possible quantization error should be 4% of peak amplitude of m(t), then find the bit rate (in kbps).

Question 14

A uniformly doped silicon(relative permittivity εr=11.7) p-n junction has dopant profile of Na=Nd=5X1016 cm-3. If peak electric field in the junction at breakdown is E = 4X105 V/ cm, then breakdown voltage of this junction is ____V

Question 15

What are the roots of denominator of the Laplace transform of the state transition matrix of a system?

Question 16


For the circuit shown below the upper break frequency will be

Question 17

The two transistors in figure below are identical. If β = 25, the current is ____ μA.

2019-10-10.png (652×366)

Question 18

An infinitely long uniform solid wire of radius a carries a uniform dc current of density.
A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

The magnetic field inside the hole is

Question 19

Figure shows the circuit of a gate in the Resistor Transistor Logic (RTL) family. The circuit represents a

Question 20

An electric field in free space is given by

and the information that a point P(2, 3, 5) lies on conducting surface. Then magnitude of surface charge density ‘ρ’ (in nC/m2) is ______

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Mar 15ESE & GATE EC