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GATE 2020: Toppers Quiz 10 (App update required to attempt this test)

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Question 1

Minimum phase unity feedback system has a bode plot with constant slope of -18db/octave for all frequency. What is the value of the maximum phase margin for the system?

Question 2

In the figure shown below, determine the equivalent resistance between A and B

Question 3

Find the system response to the input x(t) =u(t) if the unit impulse response h(t) of a CT LTI system is h(t) =  by using convolution theorem ?

Question 4

Consider the Bode plot of an unity feedback system is given below.

Find the acceleration error coefficient of the system is

Question 5

For the output F to be 1 in the circuit, the input combination should be

Question 6

Find the resistance and inductance of the coil if the inductance of a coil is measured by using the Heaviside-Campbell equal ratio bridge. With the test coil short circuited, balance is obtained when adjustable non reactive resistance is 12.63Ω and mutual inductometer is set at 0.1mH. When the test coil is in circuit, balance is obtained when the adjustable resistance is 25.9Ω and mutual inductometer is set at 15.9mH.

Question 7

A single phase fully controlled bridge converter supplies a load drawing constant and ripple free load current. If the triggering angle is 30 °, the input power factor will be

Question 8

In a 1-Φ, 2-wire system has conductor radius of 3cm, spacing between conductors of 3m. What is loop reactance for 40km length operating at 50Hz?

Question 9

The fundamental loop matrix and the reduced incidence matrix of a particular tree of a graph of an electrical network are given below respectively.

B =

A =

The value of trace of A.Bt is where Bt is the transpose of B is_________.

Question 10

Consider the following statements regarding blocked rotor test of induction motor.
A- It is also known as SC test or locked rotor test.
B- It I used to find SC current.
C- It is used to find power factor
D- It is used to find total leakage reactance and total resistance of motor referred to primary.
Which of the following statement is/are correct?

Question 11

A p-channel JFET has VP=4 V and IDSS=12 mA . It is used in the circuit of figure given below with VDD=12 V. Determine RD and RS so that ID=4 mA and VDS=6 V

Question 12

Two Turbogenerator rated to 125 MW and 250 MW has governor drop characteristics of 10% from no load to full load each. They are connected in parallel to share a load of 300 MW. Determine the load shared by each machine assuming free governor action.

Question 13

The dielectric slab with 400mm*400mm cross section is The slab is subjected to a uniform electric field of E=6ax^+8ay^ kv/mm. The relative permittivity of the dielectric material is equal to 2.the value of constant eo=8.85*10^-12F/m. The energy stored in the dielectric is (in Joules)?

Question 14

The steady state error of a system to a unit ramp input is 0.1. If the type of the system is increased by one, then the steady state error to a unit parabolic input of that stable system is ____?

Question 15

An inductor of a Q-meter tuned to 6 MHz with 800 pF and to 12 MHz with 100 pF, the value of self-distributed capacitance of inductor will be ________ pF.
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Apr 20ESE & GATE EE