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# Electrical Engineering (EE) 1999 GATE Paper without solution (unsolved) GATE Notes | EduRev

## GATE : Electrical Engineering (EE) 1999 GATE Paper without solution (unsolved) GATE Notes | EduRev

``` Page 1

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SECTION – A

1. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries ONE mark. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the

1.1 When the plate area of a parallel plate capacitor is increased keeping the
capacitor voltage constant, the force between the plates
(a) increase (b) decreases (c) remains constant
(d) may increase or decrease depending on the metal making up the plates

1.2 Two parallel wires separated by a distance d are carrying a current I in the same
direction. The magnetic field along a line running parallel to these wires and
midway between them

(a) depends upon I   (b) is zero
(c) depends upon d
(d) depends upon the permeability of medium between the wires

1.3 An electromagnetic field is radiated from
(a) a stationary point charge (b) a capacitor with a DC voltage
(c) a conductor carrying a DC current (d) an oscillating dipole

1.4 The mobility of an electron in a conductor is expressed in terms of
(a)
2
/ cm V s - (b) / cm V s - (c)
2
/ cm V (d)
2
/ cm s

1.5 An enhancement type n-channel MOSFET is represented by the symbol

(a)    (b)

(c)    (d)

1.6 As the temperature is increased, the voltage across a diode carrying a diode
carrying a constant current
(a) increases   (b) decreases
(c) remains constant
(d) may increase or decrease depending upon the doping levels in the junction
Page 2

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SECTION – A

1. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries ONE mark. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the

1.1 When the plate area of a parallel plate capacitor is increased keeping the
capacitor voltage constant, the force between the plates
(a) increase (b) decreases (c) remains constant
(d) may increase or decrease depending on the metal making up the plates

1.2 Two parallel wires separated by a distance d are carrying a current I in the same
direction. The magnetic field along a line running parallel to these wires and
midway between them

(a) depends upon I   (b) is zero
(c) depends upon d
(d) depends upon the permeability of medium between the wires

1.3 An electromagnetic field is radiated from
(a) a stationary point charge (b) a capacitor with a DC voltage
(c) a conductor carrying a DC current (d) an oscillating dipole

1.4 The mobility of an electron in a conductor is expressed in terms of
(a)
2
/ cm V s - (b) / cm V s - (c)
2
/ cm V (d)
2
/ cm s

1.5 An enhancement type n-channel MOSFET is represented by the symbol

(a)    (b)

(c)    (d)

1.6 As the temperature is increased, the voltage across a diode carrying a diode
carrying a constant current
(a) increases   (b) decreases
(c) remains constant
(d) may increase or decrease depending upon the doping levels in the junction
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1.7 A single channel digital storage oscilloscope uses a 10 bit,
7
10 samples per
second Analog-to-Digital Converter. For a 100 KHz sine wave input, the number
of samples taken per cycle of the input will be
(a)
7
10 (b)
4
10 (c)
3
10 (d)
2
10

1.8 Higher synchronous reactance is preferred in the present day alternators,
because one can have
(a) reduced sub-transient currents (b) reduced harmonic currents
(c) reduced transient currents
(d) higher voltage regulation with load

1.9 A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable
frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The
voltage across the inductor L at resonance is:
(a) 10 V (b) 10 2V (c)
10
2V
(d) 200V

1.10 The RMS value of a half-wave rectified symmetrical square wave current of 2A is:
(a) 2A (b) 1A (c)
1
2A
(d) 3A
1.11 Electodynamic type wattmeters have large errors while measuring power in ac
circuits at low power factor conditions, since the voltage across and the current
through the
(a) current coil are not in phase (b) current coil are not in quadrature
(c) pressures coil are not in phase
(d) pressure coil are not in quadrature

1.12 The current in the circuit shown in Fig.1.12 is:
(a) 5A (b) 10A
(c) 15A (d) 25A

1.13 For the circuit shown in Fig.1.13, the capacitance measured between terminals B
and Y will be
(a)
2
s
c
C
C
? ?
+
? ?
? ?
(b)
2
c
s
C
C
? ?
+
? ?
? ?

(c)
( ) 3
2
s c
C C +
(d) 3 2
c s
C C +

~
20O
200
V
200V
100V
50Hz
i
C c C c
C s C s
C c
R
B
Y
Page 3

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SECTION – A

1. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries ONE mark. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the

1.1 When the plate area of a parallel plate capacitor is increased keeping the
capacitor voltage constant, the force between the plates
(a) increase (b) decreases (c) remains constant
(d) may increase or decrease depending on the metal making up the plates

1.2 Two parallel wires separated by a distance d are carrying a current I in the same
direction. The magnetic field along a line running parallel to these wires and
midway between them

(a) depends upon I   (b) is zero
(c) depends upon d
(d) depends upon the permeability of medium between the wires

1.3 An electromagnetic field is radiated from
(a) a stationary point charge (b) a capacitor with a DC voltage
(c) a conductor carrying a DC current (d) an oscillating dipole

1.4 The mobility of an electron in a conductor is expressed in terms of
(a)
2
/ cm V s - (b) / cm V s - (c)
2
/ cm V (d)
2
/ cm s

1.5 An enhancement type n-channel MOSFET is represented by the symbol

(a)    (b)

(c)    (d)

1.6 As the temperature is increased, the voltage across a diode carrying a diode
carrying a constant current
(a) increases   (b) decreases
(c) remains constant
(d) may increase or decrease depending upon the doping levels in the junction
GATE EE - 1999                            www.gateforum.com
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1.7 A single channel digital storage oscilloscope uses a 10 bit,
7
10 samples per
second Analog-to-Digital Converter. For a 100 KHz sine wave input, the number
of samples taken per cycle of the input will be
(a)
7
10 (b)
4
10 (c)
3
10 (d)
2
10

1.8 Higher synchronous reactance is preferred in the present day alternators,
because one can have
(a) reduced sub-transient currents (b) reduced harmonic currents
(c) reduced transient currents
(d) higher voltage regulation with load

1.9 A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable
frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The
voltage across the inductor L at resonance is:
(a) 10 V (b) 10 2V (c)
10
2V
(d) 200V

1.10 The RMS value of a half-wave rectified symmetrical square wave current of 2A is:
(a) 2A (b) 1A (c)
1
2A
(d) 3A
1.11 Electodynamic type wattmeters have large errors while measuring power in ac
circuits at low power factor conditions, since the voltage across and the current
through the
(a) current coil are not in phase (b) current coil are not in quadrature
(c) pressures coil are not in phase
(d) pressure coil are not in quadrature

1.12 The current in the circuit shown in Fig.1.12 is:
(a) 5A (b) 10A
(c) 15A (d) 25A

1.13 For the circuit shown in Fig.1.13, the capacitance measured between terminals B
and Y will be
(a)
2
s
c
C
C
? ?
+
? ?
? ?
(b)
2
c
s
C
C
? ?
+
? ?
? ?

(c)
( ) 3
2
s c
C C +
(d) 3 2
c s
C C +

~
20O
200
V
200V
100V
50Hz
i
C c C c
C s C s
C c
R
B
Y
GATE EE - 1999                            www.gateforum.com
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1.14 An overhead line having a surge impedance of 400O is connected in series with
an underground cable having a surge impedance of 100O. If a surge of 50 kV
travels from the line end towards the line-cable junctions, the value of the
transmitted voltage wave at the junction is:
(a) 30 kV (b) 20 kV (c) 80 kV (d) -30 kV

1.15 The load carrying capability of a long AC transmission line is:
(a) always limited by the conductor size
(b) limited by stability considerations
(c) reduced at a low ambient temperatures
(d) decreased by the use of bundled conductors of single conductors

1.16 Corona losses are minimized when
(a) conductor size is reduced (b) smooth conductor is reduced
(c) sharp points are provided in the line hardware
(d) current density in conductors is reduced

1.17 In a DC transmission line
(a) it is necessary for the sending end and receiving end to be operated in
synchronism.
(b) the effects of inductive and capacitive reactances are greater than in an AC
transmission line of the same rating.
(c) there are not effects due to inductive and capacitive reactances
(d) power transfer capability is limited by stability considerations.

1.18 Steady state stability of a power system is the ability of the power system to
(a) maintain voltage at the rated voltage level
(b) maintain frequency exactly at 50 Hz
(c) maintain a spinning reserve margin at all times
(d) maintain synchronism between machines and on external tie lines

1.19. Three sections of a feeder are provided with circuit breakers CB1, CB2, CB3, CB4,
CB5 and CB6. For a fault F as indicated in Fig.1.19.

(a) CB5 must be set to trip after CB1 trips
(b) CB5 must be set to trip after CB3 and CB4 trips
(c) CB5 must be set to trip after CB2 trip
(d) CB5 must be set to trip before CB1, CB2, CB3 and CB4 trips
CB1 CB2 CB3
CB4 CB5 CB6 F
Page 4

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SECTION – A

1. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries ONE mark. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the

1.1 When the plate area of a parallel plate capacitor is increased keeping the
capacitor voltage constant, the force between the plates
(a) increase (b) decreases (c) remains constant
(d) may increase or decrease depending on the metal making up the plates

1.2 Two parallel wires separated by a distance d are carrying a current I in the same
direction. The magnetic field along a line running parallel to these wires and
midway between them

(a) depends upon I   (b) is zero
(c) depends upon d
(d) depends upon the permeability of medium between the wires

1.3 An electromagnetic field is radiated from
(a) a stationary point charge (b) a capacitor with a DC voltage
(c) a conductor carrying a DC current (d) an oscillating dipole

1.4 The mobility of an electron in a conductor is expressed in terms of
(a)
2
/ cm V s - (b) / cm V s - (c)
2
/ cm V (d)
2
/ cm s

1.5 An enhancement type n-channel MOSFET is represented by the symbol

(a)    (b)

(c)    (d)

1.6 As the temperature is increased, the voltage across a diode carrying a diode
carrying a constant current
(a) increases   (b) decreases
(c) remains constant
(d) may increase or decrease depending upon the doping levels in the junction
GATE EE - 1999                            www.gateforum.com
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Join All India Mock GATE Classroom Test Series - 2007 conducted by GATE Forum in over 25 cities all over India. Question
Papers including section tests and full tests are designed by IISc alumni according to the latest syllabus. Percentile, All India Rank,
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1.7 A single channel digital storage oscilloscope uses a 10 bit,
7
10 samples per
second Analog-to-Digital Converter. For a 100 KHz sine wave input, the number
of samples taken per cycle of the input will be
(a)
7
10 (b)
4
10 (c)
3
10 (d)
2
10

1.8 Higher synchronous reactance is preferred in the present day alternators,
because one can have
(a) reduced sub-transient currents (b) reduced harmonic currents
(c) reduced transient currents
(d) higher voltage regulation with load

1.9 A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable
frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The
voltage across the inductor L at resonance is:
(a) 10 V (b) 10 2V (c)
10
2V
(d) 200V

1.10 The RMS value of a half-wave rectified symmetrical square wave current of 2A is:
(a) 2A (b) 1A (c)
1
2A
(d) 3A
1.11 Electodynamic type wattmeters have large errors while measuring power in ac
circuits at low power factor conditions, since the voltage across and the current
through the
(a) current coil are not in phase (b) current coil are not in quadrature
(c) pressures coil are not in phase
(d) pressure coil are not in quadrature

1.12 The current in the circuit shown in Fig.1.12 is:
(a) 5A (b) 10A
(c) 15A (d) 25A

1.13 For the circuit shown in Fig.1.13, the capacitance measured between terminals B
and Y will be
(a)
2
s
c
C
C
? ?
+
? ?
? ?
(b)
2
c
s
C
C
? ?
+
? ?
? ?

(c)
( ) 3
2
s c
C C +
(d) 3 2
c s
C C +

~
20O
200
V
200V
100V
50Hz
i
C c C c
C s C s
C c
R
B
Y
GATE EE - 1999                            www.gateforum.com
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1.14 An overhead line having a surge impedance of 400O is connected in series with
an underground cable having a surge impedance of 100O. If a surge of 50 kV
travels from the line end towards the line-cable junctions, the value of the
transmitted voltage wave at the junction is:
(a) 30 kV (b) 20 kV (c) 80 kV (d) -30 kV

1.15 The load carrying capability of a long AC transmission line is:
(a) always limited by the conductor size
(b) limited by stability considerations
(c) reduced at a low ambient temperatures
(d) decreased by the use of bundled conductors of single conductors

1.16 Corona losses are minimized when
(a) conductor size is reduced (b) smooth conductor is reduced
(c) sharp points are provided in the line hardware
(d) current density in conductors is reduced

1.17 In a DC transmission line
(a) it is necessary for the sending end and receiving end to be operated in
synchronism.
(b) the effects of inductive and capacitive reactances are greater than in an AC
transmission line of the same rating.
(c) there are not effects due to inductive and capacitive reactances
(d) power transfer capability is limited by stability considerations.

1.18 Steady state stability of a power system is the ability of the power system to
(a) maintain voltage at the rated voltage level
(b) maintain frequency exactly at 50 Hz
(c) maintain a spinning reserve margin at all times
(d) maintain synchronism between machines and on external tie lines

1.19. Three sections of a feeder are provided with circuit breakers CB1, CB2, CB3, CB4,
CB5 and CB6. For a fault F as indicated in Fig.1.19.

(a) CB5 must be set to trip after CB1 trips
(b) CB5 must be set to trip after CB3 and CB4 trips
(c) CB5 must be set to trip after CB2 trip
(d) CB5 must be set to trip before CB1, CB2, CB3 and CB4 trips
CB1 CB2 CB3
CB4 CB5 CB6 F
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1.20. A 4-pole lap-wound DC generator has a developed power of P watts and voltage
of E volts. Two adjacent brushes of he machine are removed as they are worn
out. If the machine operates with the remaining brushes, the developed voltage
and power that can be obtained from the machine are
(a) E, P (b) ,
2 2
E P
(c) E,
4
P
(d) E,
2
P

1.21. Starting torque can be obtained in the case of a single phase induction motor
with identical main and auxiliary windings by connecting
(a) a capacitor across the mains
(b) a capacitor in series with the machine
(c) a capacitor in series with the auxiliary winding
(d) the main and the auxiliary windings in series

1.22. The windings of a QkVA,
1
2
V
V
volt, three-phase, Delta connected, core type
transformer are reconnected to work as a single phase transformer. The
maximum voltage and the power ratings of the new configuration are,
(a)
1
2
3
,3
3
V
Q
V
(b)
1
2
,
3
V Q
V
(c)
1
2
3
,2
3
V
Q
V
(d)
1
2
2 2
,
2 3
V Q
V

1.23. Resonant converters are basically used to
(a) generate large peaky voltage (b) reduce the switching losses
(c) eliminate harmonics
(d) convert a square wave into a sine wave

1.24. A PWM switching scheme is used with a three phase inverter to
(a) reduce the total harmonic distortion with modest filtering
(b) minimize the load on the DC side
(c) increase the life of the batteries
(d) reduce low order harmonics and increase high order harmonics

1.25 The following starting method for an induction motor is inferior view of the poor
starting torque per ampere of the line current drawn:
(a) Direct line starting
(b) Auto transformer method of starting
(c) Series inductor method of starting
(d) Star-Delta method of starting

Page 5

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SECTION – A

1. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries ONE mark. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the

1.1 When the plate area of a parallel plate capacitor is increased keeping the
capacitor voltage constant, the force between the plates
(a) increase (b) decreases (c) remains constant
(d) may increase or decrease depending on the metal making up the plates

1.2 Two parallel wires separated by a distance d are carrying a current I in the same
direction. The magnetic field along a line running parallel to these wires and
midway between them

(a) depends upon I   (b) is zero
(c) depends upon d
(d) depends upon the permeability of medium between the wires

1.3 An electromagnetic field is radiated from
(a) a stationary point charge (b) a capacitor with a DC voltage
(c) a conductor carrying a DC current (d) an oscillating dipole

1.4 The mobility of an electron in a conductor is expressed in terms of
(a)
2
/ cm V s - (b) / cm V s - (c)
2
/ cm V (d)
2
/ cm s

1.5 An enhancement type n-channel MOSFET is represented by the symbol

(a)    (b)

(c)    (d)

1.6 As the temperature is increased, the voltage across a diode carrying a diode
carrying a constant current
(a) increases   (b) decreases
(c) remains constant
(d) may increase or decrease depending upon the doping levels in the junction
GATE EE - 1999                            www.gateforum.com
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1.7 A single channel digital storage oscilloscope uses a 10 bit,
7
10 samples per
second Analog-to-Digital Converter. For a 100 KHz sine wave input, the number
of samples taken per cycle of the input will be
(a)
7
10 (b)
4
10 (c)
3
10 (d)
2
10

1.8 Higher synchronous reactance is preferred in the present day alternators,
because one can have
(a) reduced sub-transient currents (b) reduced harmonic currents
(c) reduced transient currents
(d) higher voltage regulation with load

1.9 A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable
frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The
voltage across the inductor L at resonance is:
(a) 10 V (b) 10 2V (c)
10
2V
(d) 200V

1.10 The RMS value of a half-wave rectified symmetrical square wave current of 2A is:
(a) 2A (b) 1A (c)
1
2A
(d) 3A
1.11 Electodynamic type wattmeters have large errors while measuring power in ac
circuits at low power factor conditions, since the voltage across and the current
through the
(a) current coil are not in phase (b) current coil are not in quadrature
(c) pressures coil are not in phase
(d) pressure coil are not in quadrature

1.12 The current in the circuit shown in Fig.1.12 is:
(a) 5A (b) 10A
(c) 15A (d) 25A

1.13 For the circuit shown in Fig.1.13, the capacitance measured between terminals B
and Y will be
(a)
2
s
c
C
C
? ?
+
? ?
? ?
(b)
2
c
s
C
C
? ?
+
? ?
? ?

(c)
( ) 3
2
s c
C C +
(d) 3 2
c s
C C +

~
20O
200
V
200V
100V
50Hz
i
C c C c
C s C s
C c
R
B
Y
GATE EE - 1999                            www.gateforum.com
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1.14 An overhead line having a surge impedance of 400O is connected in series with
an underground cable having a surge impedance of 100O. If a surge of 50 kV
travels from the line end towards the line-cable junctions, the value of the
transmitted voltage wave at the junction is:
(a) 30 kV (b) 20 kV (c) 80 kV (d) -30 kV

1.15 The load carrying capability of a long AC transmission line is:
(a) always limited by the conductor size
(b) limited by stability considerations
(c) reduced at a low ambient temperatures
(d) decreased by the use of bundled conductors of single conductors

1.16 Corona losses are minimized when
(a) conductor size is reduced (b) smooth conductor is reduced
(c) sharp points are provided in the line hardware
(d) current density in conductors is reduced

1.17 In a DC transmission line
(a) it is necessary for the sending end and receiving end to be operated in
synchronism.
(b) the effects of inductive and capacitive reactances are greater than in an AC
transmission line of the same rating.
(c) there are not effects due to inductive and capacitive reactances
(d) power transfer capability is limited by stability considerations.

1.18 Steady state stability of a power system is the ability of the power system to
(a) maintain voltage at the rated voltage level
(b) maintain frequency exactly at 50 Hz
(c) maintain a spinning reserve margin at all times
(d) maintain synchronism between machines and on external tie lines

1.19. Three sections of a feeder are provided with circuit breakers CB1, CB2, CB3, CB4,
CB5 and CB6. For a fault F as indicated in Fig.1.19.

(a) CB5 must be set to trip after CB1 trips
(b) CB5 must be set to trip after CB3 and CB4 trips
(c) CB5 must be set to trip after CB2 trip
(d) CB5 must be set to trip before CB1, CB2, CB3 and CB4 trips
CB1 CB2 CB3
CB4 CB5 CB6 F
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1.20. A 4-pole lap-wound DC generator has a developed power of P watts and voltage
of E volts. Two adjacent brushes of he machine are removed as they are worn
out. If the machine operates with the remaining brushes, the developed voltage
and power that can be obtained from the machine are
(a) E, P (b) ,
2 2
E P
(c) E,
4
P
(d) E,
2
P

1.21. Starting torque can be obtained in the case of a single phase induction motor
with identical main and auxiliary windings by connecting
(a) a capacitor across the mains
(b) a capacitor in series with the machine
(c) a capacitor in series with the auxiliary winding
(d) the main and the auxiliary windings in series

1.22. The windings of a QkVA,
1
2
V
V
volt, three-phase, Delta connected, core type
transformer are reconnected to work as a single phase transformer. The
maximum voltage and the power ratings of the new configuration are,
(a)
1
2
3
,3
3
V
Q
V
(b)
1
2
,
3
V Q
V
(c)
1
2
3
,2
3
V
Q
V
(d)
1
2
2 2
,
2 3
V Q
V

1.23. Resonant converters are basically used to
(a) generate large peaky voltage (b) reduce the switching losses
(c) eliminate harmonics
(d) convert a square wave into a sine wave

1.24. A PWM switching scheme is used with a three phase inverter to
(a) reduce the total harmonic distortion with modest filtering
(b) minimize the load on the DC side
(c) increase the life of the batteries
(d) reduce low order harmonics and increase high order harmonics

1.25 The following starting method for an induction motor is inferior view of the poor
starting torque per ampere of the line current drawn:
(a) Direct line starting
(b) Auto transformer method of starting
(c) Series inductor method of starting
(d) Star-Delta method of starting

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2. This question consists of 25 (TWENTTY FIVE) sub-questions. Each sub-question
carries TWO marks. The answers to these sub-questions MUST be written only in
the appropriate boxes corresponding to the questions in the first page of the
2.1 The color code of a 1 kO resistance is:
(a) black, brown, red   (b) red, brown, brown
(c) brown, black, red   (d) black, black, red

2.2. A rectangular current pulse of duration T and magnitude I has the Laplace
transform
(a)
I
s
(b) ( ) exp
I
Ts
s
? ?
-
? ?
? ?

(c) ( ) exp
I
Ts
s
? ?
? ?
? ?
(d) ( ) 1 exp
I
Ts
s
? ?
? ? - -
? ?
? ?
? ?

2.3. A rectangular voltage pulse of magnitude V and duration T is applied to a series
combination of resistance R and capacitance C. The maximum voltage developed
across the capacitor is:
(a)
-
1 exp
T
V
RC
? ? ? ?
-
? ? ? ?
? ? ? ?
(b)
VT
RC

(c) V   (d) exp
T
V
RC
- ? ?
? ?
? ?

2.4. When a periodic triangular voltage peak amplitude 1 V and frequency 0.5 Hz is
applied to a parallel combination of 1O resistance and 1 F capacitance, the
current through the voltage source has wave-form.
(a)    (b)

(c)    (d)

2.5. For a flip-flop formed from two NAND
gates as shown in Fig.2.5, the unusable
state corresponds to
(a) X = 0, Y = 0
(b) X = 0, Y = 1
(c) X = 1, Y = 0
(d) X = 1, Y = 1
X
Y
Q
```
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