Questions 571–580 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 58 of 72

Question 41

Open question
EENAT2 marksNeeds review
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain

. The base-emitter voltage drop is a constant,

. The value of the Thevenin equivalent resistance

(in

) as shown in the figure
Diagram for Electrical Engineering question 41

is ______ (up to 2 decimal places).

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Question 42

Open question
EENAT2 marksNeeds review
As shown in the figure,

is the arc from the point

to the point

on the circle

. The value of the integral

is ______ (up to 2 decimal places).
Diagram for Electrical Engineering question 42


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Question 43

Open question
EENAT2 marksNeeds review
Let

. The maximum value of

over the interval

is ______ (up to 1 decimal place).

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Question 44

Open question
EENAT2 marksNeeds review
Let

and

, where

is the

identity matrix. The determinant of

is ______ (up to 1 decimal place).

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Question 45

Open question
EENAT2 marksNeeds review
The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes 86 pF. Neglecting the fringing effects, the relative permittivity of the dielectric is __________ (up to 2 decimal places).

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Question 46

Open question
EENAT2 marksNeeds review
The unit step response

of a unity feedback system with open loop transfer function

is shown in the figure. The value of

is ______ (up to 2 decimal places).
Diagram for Electrical Engineering question 46


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Question 47

Open question
EENAT2 marksNeeds review
A three-phase load is connected to a three-phase balanced supply as shown in the figure. If

,

and

(angles are considered positive in the anti-clockwise direction), the value of

for zero current in the neutral wire is __________

(up to 2 decimal places).
Diagram for Electrical Engineering question 47


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Question 48

Open question
EENAT2 marksNeeds review
The voltage across the circuit in the figure, and the current through it, are given by the following expressions:


where

radians. If the average power delivered to the circuit is zero, then the value of

(in Ampere) is ____ (up to 2 decimal places).
Diagram for Electrical Engineering question 48


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Question 49

Open question
EENAT2 marksNeeds review
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an R-L-E load as shown in the figure. The rectifier output voltage has an average value given by

, where

volts and

is the firing angle. If the power delivered to the lossless battery is 1600 W,

in degree is_______ (up to 2 decimal places).
Diagram for Electrical Engineering question 49


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Question 50

Open question
EENAT2 marksNeeds review
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of 100 V. The converters have inductors of identical value. The load resistance is 1

. The capacitor voltage has negligible ripple. Both converters operate in the continuous conduction mode. The switching frequency is 1 kHz, and the switch control signals are as shown. The circuit operates in the steady state. Assuming that the converters share the load equally, the average value of

, the current of switch S1 (in Ampere), is ____ (up to 2 decimal places).
Diagram for Electrical Engineering question 50


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