Page 1 GATE EE - 2000 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 answer book. 1.1 An electron with velocity u is placed in an electric field E and magnetic field B. the force experienced by the electron is given by (a) -eE (b) -eu × B (c) -e(u×E+B) (d) -e(E+u×B) 1.2 A voltage waveform V(t) = 2 12t is applied across a 1H inductor for t = 0, with initial current through it being zero. The current through the inductor for t = 0 is given by (a) 12t (b) 24t (c) 12t 3 (d) 4 t 3 1.3 The circuit shown in Fig.1.3 uses an ideal opamp working with +5V and –5V power supplies. The output voltage 0 V is equal to (a) +5V (b) -5V (c) +1V (d) -1V 1.4 Which one of the following is not a vectored interrupt? (a) TRAP (b) INTR (c) RST7.5 (d) RST3 1.5 The type of power amplifier which exhibits crossover distortion in its output is (a) Class A (b) Class B (c) Class AB (d) Class C 1.6 The feedback factor for the circuit shown in Fig.1.6 is: (a) 9 100 (b) 9 10 (c) 1 9 (d) 1 10 1K + - 5V 1mA V o -5V + - V S 100O 10O 90O 1K + - Page 2 GATE EE - 2000 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 answer book. 1.1 An electron with velocity u is placed in an electric field E and magnetic field B. the force experienced by the electron is given by (a) -eE (b) -eu × B (c) -e(u×E+B) (d) -e(E+u×B) 1.2 A voltage waveform V(t) = 2 12t is applied across a 1H inductor for t = 0, with initial current through it being zero. The current through the inductor for t = 0 is given by (a) 12t (b) 24t (c) 12t 3 (d) 4 t 3 1.3 The circuit shown in Fig.1.3 uses an ideal opamp working with +5V and –5V power supplies. The output voltage 0 V is equal to (a) +5V (b) -5V (c) +1V (d) -1V 1.4 Which one of the following is not a vectored interrupt? (a) TRAP (b) INTR (c) RST7.5 (d) RST3 1.5 The type of power amplifier which exhibits crossover distortion in its output is (a) Class A (b) Class B (c) Class AB (d) Class C 1.6 The feedback factor for the circuit shown in Fig.1.6 is: (a) 9 100 (b) 9 10 (c) 1 9 (d) 1 10 1K + - 5V 1mA V o -5V + - V S 100O 10O 90O 1K + - GATE EE - 2000 1.7 A 3-phase, 4-pole squirrel cage induction motor has 36 stator and 28 rotor slots. The number of phases in the rotor is: (a) 3 (b) 9 (c) 7 (d) 8 1.8 The compensating winding in a dc machine (a) is located in armature slots for compensation of the armature reaction (b) is located on commutating poles for improving the commutation (c) is located on pole shoes for avoiding the flashover at the commutator surface (d) is located on poles shoes to avoid the sparking at the brushes. 1.9 In a constant voltage transformer (CVT), the output voltage remains constant due to (a) capacitor (b) input inductor (c) saturation (d) tapped windings 1.10 The phase sequence of a three-phase alternator will reverse if (a) the field current is reversed keeping the direction of rotation same (b) the field current remains the same but the direction of rotation is reversed (c) the field current is reversed and the number of poles is doubled (d) the number of poles is doubled without reversing the field current 1.11 A 1.8° step, 4-phase stepper motor has a total of 40 teeth on 8 poles of stator. The number of rotor teeth for this motor will be (a) 40 (b) 50 (c) 100 (d) 80 1.12 In a thermal power plant, the feed water coming to the economizer is heated using (a) H.P. steam (b) L.P. steam (c) direct heat in the furnace (d) flue gases 1.13 For given base voltage and base volt-amperes, the per unit impedance value of an element is x. What will be the per unit impedance value of this element when the voltage and volt-ampere bases are both doubled? (a) 0.5x (b) 2x (c) 4x (d) x 1.14 In an inverse definite minimum time, electromagnetic type over-current relay the minimum time feature is achieved because of (a) saturation of the magnetic circuit (b) proper mechanical design (c) appropriate time delay element (d) electromagnetic damping Page 3 GATE EE - 2000 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 answer book. 1.1 An electron with velocity u is placed in an electric field E and magnetic field B. the force experienced by the electron is given by (a) -eE (b) -eu × B (c) -e(u×E+B) (d) -e(E+u×B) 1.2 A voltage waveform V(t) = 2 12t is applied across a 1H inductor for t = 0, with initial current through it being zero. The current through the inductor for t = 0 is given by (a) 12t (b) 24t (c) 12t 3 (d) 4 t 3 1.3 The circuit shown in Fig.1.3 uses an ideal opamp working with +5V and –5V power supplies. The output voltage 0 V is equal to (a) +5V (b) -5V (c) +1V (d) -1V 1.4 Which one of the following is not a vectored interrupt? (a) TRAP (b) INTR (c) RST7.5 (d) RST3 1.5 The type of power amplifier which exhibits crossover distortion in its output is (a) Class A (b) Class B (c) Class AB (d) Class C 1.6 The feedback factor for the circuit shown in Fig.1.6 is: (a) 9 100 (b) 9 10 (c) 1 9 (d) 1 10 1K + - 5V 1mA V o -5V + - V S 100O 10O 90O 1K + - GATE EE - 2000 1.7 A 3-phase, 4-pole squirrel cage induction motor has 36 stator and 28 rotor slots. The number of phases in the rotor is: (a) 3 (b) 9 (c) 7 (d) 8 1.8 The compensating winding in a dc machine (a) is located in armature slots for compensation of the armature reaction (b) is located on commutating poles for improving the commutation (c) is located on pole shoes for avoiding the flashover at the commutator surface (d) is located on poles shoes to avoid the sparking at the brushes. 1.9 In a constant voltage transformer (CVT), the output voltage remains constant due to (a) capacitor (b) input inductor (c) saturation (d) tapped windings 1.10 The phase sequence of a three-phase alternator will reverse if (a) the field current is reversed keeping the direction of rotation same (b) the field current remains the same but the direction of rotation is reversed (c) the field current is reversed and the number of poles is doubled (d) the number of poles is doubled without reversing the field current 1.11 A 1.8° step, 4-phase stepper motor has a total of 40 teeth on 8 poles of stator. The number of rotor teeth for this motor will be (a) 40 (b) 50 (c) 100 (d) 80 1.12 In a thermal power plant, the feed water coming to the economizer is heated using (a) H.P. steam (b) L.P. steam (c) direct heat in the furnace (d) flue gases 1.13 For given base voltage and base volt-amperes, the per unit impedance value of an element is x. What will be the per unit impedance value of this element when the voltage and volt-ampere bases are both doubled? (a) 0.5x (b) 2x (c) 4x (d) x 1.14 In an inverse definite minimum time, electromagnetic type over-current relay the minimum time feature is achieved because of (a) saturation of the magnetic circuit (b) proper mechanical design (c) appropriate time delay element (d) electromagnetic damping GATE EE - 2000 1.15 Out of the considerations (a) to (d) listed below. (i) no distance limitation related to steady state stability (ii) no reactive power requirement from the system at the two terminals (iii) no substantial effect on fault level of the two systems at the terminals inspite of the interconnection (iv) no corona problems The considerations, which constitute advantages of HVDC transmission, are (a) all of the above (b) (i) and (iii) (c) (iii) and (iv) (d) (ii) and (iv) 1.17 In a 3-step distance protection, the reach of the three zones of the relay at the beginning of the first line typically extends up to (a) 100% of the first line, 50% of the second line and 20% of the third line (b) 80% of the first line, 50% of the second line and 20% of the third line (c) 80% of the first line, 20% of the second line and 10% of the third line (d) 50% of first line, 50% of second line and 20% of the third line. 1.17 A three phase semi-converter feeds the armature of a separately excited dc motor, supplying a non-zero torque. For steady state operation, the motor armature current is found to drop to zero at certain instances of time. At such instances, the voltage assumes a value that is (a) equal to the instantaneous value of the ac phase voltage (b) equal to the instantaneous value of the motor back emf (c) arbitrary (d) zero 1.18 A thyristorised, three phase, fully controlled converter feeds a dc load that draws a constant current. Then the input ac line current to the converter has (a) an rms value equal to the dc load current (b) an average value equal to the dc load current (c) a peak value equal to the dc load current (d) a fundamental frequency component, whose rms value is equal to the dc load current 1.19 Triangular PWM control, when applied to a three phase, BJT based voltage source inverter, introduces (a) low order harmonic voltages on the dc side (b) very high order harmonic voltages on the dc side (c) low order harmonic voltages on the ac side (d) very high order harmonic voltage on the dc side Page 4 GATE EE - 2000 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 answer book. 1.1 An electron with velocity u is placed in an electric field E and magnetic field B. the force experienced by the electron is given by (a) -eE (b) -eu × B (c) -e(u×E+B) (d) -e(E+u×B) 1.2 A voltage waveform V(t) = 2 12t is applied across a 1H inductor for t = 0, with initial current through it being zero. The current through the inductor for t = 0 is given by (a) 12t (b) 24t (c) 12t 3 (d) 4 t 3 1.3 The circuit shown in Fig.1.3 uses an ideal opamp working with +5V and –5V power supplies. The output voltage 0 V is equal to (a) +5V (b) -5V (c) +1V (d) -1V 1.4 Which one of the following is not a vectored interrupt? (a) TRAP (b) INTR (c) RST7.5 (d) RST3 1.5 The type of power amplifier which exhibits crossover distortion in its output is (a) Class A (b) Class B (c) Class AB (d) Class C 1.6 The feedback factor for the circuit shown in Fig.1.6 is: (a) 9 100 (b) 9 10 (c) 1 9 (d) 1 10 1K + - 5V 1mA V o -5V + - V S 100O 10O 90O 1K + - GATE EE - 2000 1.7 A 3-phase, 4-pole squirrel cage induction motor has 36 stator and 28 rotor slots. The number of phases in the rotor is: (a) 3 (b) 9 (c) 7 (d) 8 1.8 The compensating winding in a dc machine (a) is located in armature slots for compensation of the armature reaction (b) is located on commutating poles for improving the commutation (c) is located on pole shoes for avoiding the flashover at the commutator surface (d) is located on poles shoes to avoid the sparking at the brushes. 1.9 In a constant voltage transformer (CVT), the output voltage remains constant due to (a) capacitor (b) input inductor (c) saturation (d) tapped windings 1.10 The phase sequence of a three-phase alternator will reverse if (a) the field current is reversed keeping the direction of rotation same (b) the field current remains the same but the direction of rotation is reversed (c) the field current is reversed and the number of poles is doubled (d) the number of poles is doubled without reversing the field current 1.11 A 1.8° step, 4-phase stepper motor has a total of 40 teeth on 8 poles of stator. The number of rotor teeth for this motor will be (a) 40 (b) 50 (c) 100 (d) 80 1.12 In a thermal power plant, the feed water coming to the economizer is heated using (a) H.P. steam (b) L.P. steam (c) direct heat in the furnace (d) flue gases 1.13 For given base voltage and base volt-amperes, the per unit impedance value of an element is x. What will be the per unit impedance value of this element when the voltage and volt-ampere bases are both doubled? (a) 0.5x (b) 2x (c) 4x (d) x 1.14 In an inverse definite minimum time, electromagnetic type over-current relay the minimum time feature is achieved because of (a) saturation of the magnetic circuit (b) proper mechanical design (c) appropriate time delay element (d) electromagnetic damping GATE EE - 2000 1.15 Out of the considerations (a) to (d) listed below. (i) no distance limitation related to steady state stability (ii) no reactive power requirement from the system at the two terminals (iii) no substantial effect on fault level of the two systems at the terminals inspite of the interconnection (iv) no corona problems The considerations, which constitute advantages of HVDC transmission, are (a) all of the above (b) (i) and (iii) (c) (iii) and (iv) (d) (ii) and (iv) 1.17 In a 3-step distance protection, the reach of the three zones of the relay at the beginning of the first line typically extends up to (a) 100% of the first line, 50% of the second line and 20% of the third line (b) 80% of the first line, 50% of the second line and 20% of the third line (c) 80% of the first line, 20% of the second line and 10% of the third line (d) 50% of first line, 50% of second line and 20% of the third line. 1.17 A three phase semi-converter feeds the armature of a separately excited dc motor, supplying a non-zero torque. For steady state operation, the motor armature current is found to drop to zero at certain instances of time. At such instances, the voltage assumes a value that is (a) equal to the instantaneous value of the ac phase voltage (b) equal to the instantaneous value of the motor back emf (c) arbitrary (d) zero 1.18 A thyristorised, three phase, fully controlled converter feeds a dc load that draws a constant current. Then the input ac line current to the converter has (a) an rms value equal to the dc load current (b) an average value equal to the dc load current (c) a peak value equal to the dc load current (d) a fundamental frequency component, whose rms value is equal to the dc load current 1.19 Triangular PWM control, when applied to a three phase, BJT based voltage source inverter, introduces (a) low order harmonic voltages on the dc side (b) very high order harmonic voltages on the dc side (c) low order harmonic voltages on the ac side (d) very high order harmonic voltage on the dc side GATE EE - 2000 1.20 Instrument transformers are known to introduce magnitude and phase errors in measurements. These are primarily due to (a) improper connections on the primary side (b) measurement errors inherent in the meter connected to the transformer secondary (c) open and short circuit parameters of the instrument transformers (d) None of the above 1.21 An analogue electronic circuit that measures rms value of the input voltage by averaging the square of the instantaneous voltage level, responds slowly to changes in the input signal due to (a) the “square” function built into the circuit (b) the “square-root” function built into the circuit (c) the averaging function built into the circuit (d) None of the above 1.22 Ratio of the rotor reactance X to the rotor resistance R for a two-phase servomotor (a) is equal to that of a normal induction motor (b) is less than that of a normal induction motor (c) is greater than that of a normal induction motor (d) may be less or greater than that of a normal induction motor 1.23 Feedback control systems are (a) insensitive to both forward and feedback path parameter changes (b) less sensitive to feedback path parameter changes than to forward path parameter changes (c) less sensitive to forward-path parameter changes than to feedback path parameter changes (d) equally sensitive to forward and feedback path parameter changes 1.24 A unity feedback system has open loop transfer function G(s). The steady-state error is zero for (a) step input and type –1 G(s) (b) ramp input and type –1 G(s) (c) step input and type G(s) (d) ramp input and type –0 G(s) 1.25 A linear time-invariant system initially at rest, when subjected to a unit-step input, gives a response ( ) , 0. t y t te t - = > The transfer function of the system is: (a) ( ) 2 1 1 s + (b) ( ) 2 1 1 s s + (c) ( ) 2 1 s s + (d) ( ) 1 1 s s + Page 5 GATE EE - 2000 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 answer book. 1.1 An electron with velocity u is placed in an electric field E and magnetic field B. the force experienced by the electron is given by (a) -eE (b) -eu × B (c) -e(u×E+B) (d) -e(E+u×B) 1.2 A voltage waveform V(t) = 2 12t is applied across a 1H inductor for t = 0, with initial current through it being zero. The current through the inductor for t = 0 is given by (a) 12t (b) 24t (c) 12t 3 (d) 4 t 3 1.3 The circuit shown in Fig.1.3 uses an ideal opamp working with +5V and –5V power supplies. The output voltage 0 V is equal to (a) +5V (b) -5V (c) +1V (d) -1V 1.4 Which one of the following is not a vectored interrupt? (a) TRAP (b) INTR (c) RST7.5 (d) RST3 1.5 The type of power amplifier which exhibits crossover distortion in its output is (a) Class A (b) Class B (c) Class AB (d) Class C 1.6 The feedback factor for the circuit shown in Fig.1.6 is: (a) 9 100 (b) 9 10 (c) 1 9 (d) 1 10 1K + - 5V 1mA V o -5V + - V S 100O 10O 90O 1K + - GATE EE - 2000 1.7 A 3-phase, 4-pole squirrel cage induction motor has 36 stator and 28 rotor slots. The number of phases in the rotor is: (a) 3 (b) 9 (c) 7 (d) 8 1.8 The compensating winding in a dc machine (a) is located in armature slots for compensation of the armature reaction (b) is located on commutating poles for improving the commutation (c) is located on pole shoes for avoiding the flashover at the commutator surface (d) is located on poles shoes to avoid the sparking at the brushes. 1.9 In a constant voltage transformer (CVT), the output voltage remains constant due to (a) capacitor (b) input inductor (c) saturation (d) tapped windings 1.10 The phase sequence of a three-phase alternator will reverse if (a) the field current is reversed keeping the direction of rotation same (b) the field current remains the same but the direction of rotation is reversed (c) the field current is reversed and the number of poles is doubled (d) the number of poles is doubled without reversing the field current 1.11 A 1.8° step, 4-phase stepper motor has a total of 40 teeth on 8 poles of stator. The number of rotor teeth for this motor will be (a) 40 (b) 50 (c) 100 (d) 80 1.12 In a thermal power plant, the feed water coming to the economizer is heated using (a) H.P. steam (b) L.P. steam (c) direct heat in the furnace (d) flue gases 1.13 For given base voltage and base volt-amperes, the per unit impedance value of an element is x. What will be the per unit impedance value of this element when the voltage and volt-ampere bases are both doubled? (a) 0.5x (b) 2x (c) 4x (d) x 1.14 In an inverse definite minimum time, electromagnetic type over-current relay the minimum time feature is achieved because of (a) saturation of the magnetic circuit (b) proper mechanical design (c) appropriate time delay element (d) electromagnetic damping GATE EE - 2000 1.15 Out of the considerations (a) to (d) listed below. (i) no distance limitation related to steady state stability (ii) no reactive power requirement from the system at the two terminals (iii) no substantial effect on fault level of the two systems at the terminals inspite of the interconnection (iv) no corona problems The considerations, which constitute advantages of HVDC transmission, are (a) all of the above (b) (i) and (iii) (c) (iii) and (iv) (d) (ii) and (iv) 1.17 In a 3-step distance protection, the reach of the three zones of the relay at the beginning of the first line typically extends up to (a) 100% of the first line, 50% of the second line and 20% of the third line (b) 80% of the first line, 50% of the second line and 20% of the third line (c) 80% of the first line, 20% of the second line and 10% of the third line (d) 50% of first line, 50% of second line and 20% of the third line. 1.17 A three phase semi-converter feeds the armature of a separately excited dc motor, supplying a non-zero torque. For steady state operation, the motor armature current is found to drop to zero at certain instances of time. At such instances, the voltage assumes a value that is (a) equal to the instantaneous value of the ac phase voltage (b) equal to the instantaneous value of the motor back emf (c) arbitrary (d) zero 1.18 A thyristorised, three phase, fully controlled converter feeds a dc load that draws a constant current. Then the input ac line current to the converter has (a) an rms value equal to the dc load current (b) an average value equal to the dc load current (c) a peak value equal to the dc load current (d) a fundamental frequency component, whose rms value is equal to the dc load current 1.19 Triangular PWM control, when applied to a three phase, BJT based voltage source inverter, introduces (a) low order harmonic voltages on the dc side (b) very high order harmonic voltages on the dc side (c) low order harmonic voltages on the ac side (d) very high order harmonic voltage on the dc side GATE EE - 2000 1.20 Instrument transformers are known to introduce magnitude and phase errors in measurements. These are primarily due to (a) improper connections on the primary side (b) measurement errors inherent in the meter connected to the transformer secondary (c) open and short circuit parameters of the instrument transformers (d) None of the above 1.21 An analogue electronic circuit that measures rms value of the input voltage by averaging the square of the instantaneous voltage level, responds slowly to changes in the input signal due to (a) the “square” function built into the circuit (b) the “square-root” function built into the circuit (c) the averaging function built into the circuit (d) None of the above 1.22 Ratio of the rotor reactance X to the rotor resistance R for a two-phase servomotor (a) is equal to that of a normal induction motor (b) is less than that of a normal induction motor (c) is greater than that of a normal induction motor (d) may be less or greater than that of a normal induction motor 1.23 Feedback control systems are (a) insensitive to both forward and feedback path parameter changes (b) less sensitive to feedback path parameter changes than to forward path parameter changes (c) less sensitive to forward-path parameter changes than to feedback path parameter changes (d) equally sensitive to forward and feedback path parameter changes 1.24 A unity feedback system has open loop transfer function G(s). The steady-state error is zero for (a) step input and type –1 G(s) (b) ramp input and type –1 G(s) (c) step input and type G(s) (d) ramp input and type –0 G(s) 1.25 A linear time-invariant system initially at rest, when subjected to a unit-step input, gives a response ( ) , 0. t y t te t - = > The transfer function of the system is: (a) ( ) 2 1 1 s + (b) ( ) 2 1 1 s s + (c) ( ) 2 1 s s + (d) ( ) 1 1 s s + GATE EE - 2000 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 answer book. 2.1 A two-port device is defined by the following pair of equations: 1 1 2 2 1 2 2 and i i ? ? ? ? = + = + Its impedance parameters ( ) 11 12 21 22 , , , z z z z are given by (a) (2,1,1,1) (b) (1,-1,-1,2) (c) (1,1,1,2) (d) (2,-1,-1,1) 2.2. The circuit shown in Fig.2.2 is equivalent to a load of (a) 4 3 ohms (b) 8 3 ohms (c) 4 ohms (d) 2 ohms 2.3. The impedance seen by the source in the circuit in Fig.2.3, is given by (a) (0.54+j0.313) ohms (b) (4 – j2) ohms (c) (4.54 – j1.69) ohms (d) (4 + j2) ohms 2.4. The minimal product of sums function described by the K-map given in Fig.2.4 (a) AC ' ' (b) A C ' ' + (c) A + C (d) AC 2.5. A diode whose terminal characteristics are related as , D s T V i I V ? ? = ? ? ? ? where s I is the reverse saturation current and T V is the thermal voltage (=25mV), is biased at 2 . D I mA = Its dynamic resistance is: (a) 25 ohms (b) 12.5 ohms (c) 50 ohms (d) 100 ohms + - 2O 4O 2I I 4O + - -j2O 1:4 Z L=10?30° AB C 1 1 f 0 0 0 f 0 0 1 00 01 11 10Read More

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