Questions 181–190 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 19 of 72

Question 51

Open question
EENAT2 marksNeeds review
In the

coordinate system, three point charges

,

, and

are located in free space at

,

, and

, respectively. The value of

for the electric field to be zero at

is __________ (rounded off to 1 decimal place).

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Question 52

Open question
EENAT2 marksNeeds review
The given equation represents a magnetic field strength

in the spherical coordinate system, in free space. Here,

and

represent the unit vectors along

and

, respectively. The value of

in the equation should be __________ (rounded off to the nearest integer).


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Question 53

Open question
EENAT2 marksNeeds review
If the energy of a continuous-time signal

is

and the energy of the signal

is

, then

is _____ (rounded off to 1 decimal place).

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Question 54

Open question
EENAT2 marksNeeds review
A 3-phase star connected slip ring induction motor has the following parameters referred to the stator:

The per phase stator to rotor effective turns ratio is 3:1. The rotor winding is also star connected. The magnetizing reactance and core loss of the motor can be neglected. To have maximum torque at starting, the value of the extra resistance in ohms (referred to the rotor side) to be connected in series with each phase of the rotor winding is ________ (rounded off to 2 decimal places).

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Question 55

Open question
EENAT2 marksNeeds review
A 5 kW, 220 V DC shunt motor has 0.5

armature resistance including brushes. The motor draws a no-load current of 3 A. The field current is constant at 1 A. Assuming that the core and rotational losses are constant and independent of the load, the current (in amperes) drawn by the motor while delivering the rated load, for the best possible efficiency, is ________ (rounded off to 2 decimal places).

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Question 56

Open question
EENAT2 marksNeeds review
The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being

, where

is the load angle and the mechanical power input is

. A fault occurs on line 2 such that the power output of the generator is less than

during the fault. After the fault is cleared by opening line 2, the power output of the generator is

. If the critical fault clearing angle is

radians, the accelerating area on the power angle curve is _____ times

(rounded off to 2 decimal places).
Diagram for Electrical Engineering question 56


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Question 57

Open question
EENAT2 marksNeeds review
Consider the closed-loop system shown in the figure with

The root locus for the closed-loop system is to be drawn for

. The angle of departure (between

and

) of the root locus branch drawn from the pole

, in degrees, is _________________ (rounded off to the nearest integer).
Diagram for Electrical Engineering question 57


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Question 58

Open question
EENAT2 marksNeeds review
Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of

has a constant slope of

dB/decade at least till 100 rad/sec with the gain crossover frequency being 10 rad/sec. The asymptotic Bode phase plot remains constant at

at least till

rad/sec. The steady-state error of the closed-loop system for a unit ramp input is ______________ (rounded off to 2 decimal places).
Diagram for Electrical Engineering question 58


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Question 59

Open question
EENAT2 marksNeeds review
Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of

are given in the table. The value of the gain

for a 50° phase margin is ______ (rounded off to 2 decimal places). |

in rad/sec | Magnitude in dB | Phase in degrees |\n|---|---:|---:|\n| 0.5 | −7 | −40 |\n| 1.0 | −10 | −80 |\n| 2.0 | −18 | −130 |\n| 10.0 | −40 | −200 |
Diagram for Electrical Engineering question 59


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Question 60

Open question
EENAT2 marksNeeds review
In the given circuit, the diodes are ideal. The current

through the diode D1 in milliamperes is ______ (rounded off to two decimal places).
Diagram for Electrical Engineering question 60


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