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GATE EE 2019: ThunderBolt Quiz 2

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Question 1

Find the bode diagram of the network function given in the figure below

Question 2

For the circuit given in figure below, find the reading of the ammeter. [assume the diode to be ideal].

Question 3

For the circuit shown in figure below. Find the collector voltage ‘VC’. [Assume the β of the transistor to be infinitely high and VBE = 0.7 volts]

Question 4

An auto – transformer has a coil with total number of turns NCD = 400 between terminals C and D. It has got one tapping at A such that NAC = 200 and another tapping at B such that NBA = 80. The supply mains is 440 V, 50 Hz is connected two resisting loads of 80 Ω and 120 Ω are connected across BC and DC respectively. What is the current through 80 Ω load.

Question 5

In the circuit given below, determine the sum of the coefficients α and β in the expression for output voltage VO = α V1 + β V2.

Question 6

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

Question 7

In the circuit diagram shown in figure below. Find the function expression F in terms of A, B, C, D.

Question 8

In the network shown below.

The Two-port network in the figure above is reciprocal then determine the value of Rm (in KΩ) _____

Question 9

Consider the system described by the following difference equation:

Y[n] = αx[n] + βx[n–1] – y[n–2]

Assume that the system starts at rest and that the input x[n] is the unit step signal u[n]

Find y [119] = ?

Question 10

determine X(z), the Z transform of x[n], where

Question 11

Determine the region of convergence (ROC) of the Laplace transform of x(t) which is defined as follows:

Question 12

The test results of a 230 V, single-phase induction motor are given below:

Blocked rotor test: 110 V, 9.5 A, 450 W

No-load test: 230 V, 4.4 A, 120 W

The starting winding is kept open during blocked rotor test and stator winding resistance is 1.4 Ω. Find the sum of core and mechanical losses of the motor (in watts).

Question 13

A shunt generator delivers 50 kW at 250 V and 400 rpm. The armature and field resistances are 0.02 Ω and 50 Ω respectively. Calculate the speed of the machine running as a shunt motor and taking 50 kW input at 250 V. Allow 1 V per brush for contact drop.

Question 14

An auto-transformation with suitable transformation ratio is used for starting of a 3-phase induction motor with line current not exceeding three times the full-load current. The short-circuit current is 5 times the full-load current and full-load slip is 5%. Then find the percentage of starting torque in terms of the full-load torque.
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Jun 19ESE & GATE EE