Page 1 GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum Q.1 – Q.30 CARRY ONE MARK EACH 1. Fig.Q1 shows the waveform of the current passing through an inductor of resistance 1O and inductance 2 H. The energy absorbed by the inductor in the first four seconds is (a) 144 J (b) 98 J (c) 132 J (d) 168 J 2. A segment of a circuit is shown in Fig.Q2. V R = 5V, V C = 4 sin 2t. The voltage V L is given by (a) 3 – 8 cos 2t (b) 32 sin 2t (c) 16 sin 2t (d) 16 cos 2t 3. In the Fig.Q3. Z 1 =10?-60°, A2=10?60°, Z 3 =50?53.13°. The Venn impedance seen from X-Y is (a) 56.6?45° (b) 60?30° (c) 70?30° (d) 34.4?65° 4. Two conductors are carrying forward and return current of +I and –I as shown in Fig.Q4. The magnetic field intensity H at point P is (a) I y d p (b) I x d p (c) 2 I y d p (d) 2 I x d p 0 2S 6A 4S t + - - - + + V R 2A 5O 1F V L V C 2H P R S Q ~ Z 1 Z 3 Z 2 X Y + - 100?0° z u r x ur y u r P -I +I d d Page 2 GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum Q.1 – Q.30 CARRY ONE MARK EACH 1. Fig.Q1 shows the waveform of the current passing through an inductor of resistance 1O and inductance 2 H. The energy absorbed by the inductor in the first four seconds is (a) 144 J (b) 98 J (c) 132 J (d) 168 J 2. A segment of a circuit is shown in Fig.Q2. V R = 5V, V C = 4 sin 2t. The voltage V L is given by (a) 3 – 8 cos 2t (b) 32 sin 2t (c) 16 sin 2t (d) 16 cos 2t 3. In the Fig.Q3. Z 1 =10?-60°, A2=10?60°, Z 3 =50?53.13°. The Venn impedance seen from X-Y is (a) 56.6?45° (b) 60?30° (c) 70?30° (d) 34.4?65° 4. Two conductors are carrying forward and return current of +I and –I as shown in Fig.Q4. The magnetic field intensity H at point P is (a) I y d p (b) I x d p (c) 2 I y d p (d) 2 I x d p 0 2S 6A 4S t + - - - + + V R 2A 5O 1F V L V C 2H P R S Q ~ Z 1 Z 3 Z 2 X Y + - 100?0° z u r x ur y u r P -I +I d d GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 5. Two infinite strips of width w m in x direction as shown in Fig.Q5, are carrying forward and return currents of +I and –I in the z direction. The strips are separated by a distance of xm. The inductance per unit length of the configuration is measured to be L H/m. If the distance of separation between the strips is now reduced to , 2 x m the inductance per unit length of the configuration is (a) 2L H/m (b) L/4 H/m (c) L/2 H/m (d) 4L H/m 6. A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load at the same power factor is (a) 86.7% (b) 88.26% (c) 88.9% (d) 87.8% 7. Group I lists different applications and Group II lists the motors for these applications. Match the application with the most suitable motor and choose the right combination among the choices given thereafter Group I Group II P Food mixer 1 Permanent magnet dc motor Q Cassette tape recorder 2 Single phase induction motor R Domestic water pump 3 Universal motor S Escalator 4 Three phase induction motor 5 DC series motor 6 Stepper motor (a) P – 3 Q – 6 R – 4 S - 5 (b) P – 1 Q – 3 R – 2 S - 4 (c) P – 3 Q – 1 R – 2 S - 4 (d) P – 3 Q – 2 R – 1 S - 4 8. A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected across the load to completely nullify the inductive current. For this operating condition. (a) the field current and fuel input have to be reduced (b) the field current and fuel input have to be increased (c) the field current has to be increased and fuel input left unaltered (d) the field current has to be reduced and fuel input left unaltered z u r x ur y u r +I -I w x Page 3 GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum Q.1 – Q.30 CARRY ONE MARK EACH 1. Fig.Q1 shows the waveform of the current passing through an inductor of resistance 1O and inductance 2 H. The energy absorbed by the inductor in the first four seconds is (a) 144 J (b) 98 J (c) 132 J (d) 168 J 2. A segment of a circuit is shown in Fig.Q2. V R = 5V, V C = 4 sin 2t. The voltage V L is given by (a) 3 – 8 cos 2t (b) 32 sin 2t (c) 16 sin 2t (d) 16 cos 2t 3. In the Fig.Q3. Z 1 =10?-60°, A2=10?60°, Z 3 =50?53.13°. The Venn impedance seen from X-Y is (a) 56.6?45° (b) 60?30° (c) 70?30° (d) 34.4?65° 4. Two conductors are carrying forward and return current of +I and –I as shown in Fig.Q4. The magnetic field intensity H at point P is (a) I y d p (b) I x d p (c) 2 I y d p (d) 2 I x d p 0 2S 6A 4S t + - - - + + V R 2A 5O 1F V L V C 2H P R S Q ~ Z 1 Z 3 Z 2 X Y + - 100?0° z u r x ur y u r P -I +I d d GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 5. Two infinite strips of width w m in x direction as shown in Fig.Q5, are carrying forward and return currents of +I and –I in the z direction. The strips are separated by a distance of xm. The inductance per unit length of the configuration is measured to be L H/m. If the distance of separation between the strips is now reduced to , 2 x m the inductance per unit length of the configuration is (a) 2L H/m (b) L/4 H/m (c) L/2 H/m (d) 4L H/m 6. A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load at the same power factor is (a) 86.7% (b) 88.26% (c) 88.9% (d) 87.8% 7. Group I lists different applications and Group II lists the motors for these applications. Match the application with the most suitable motor and choose the right combination among the choices given thereafter Group I Group II P Food mixer 1 Permanent magnet dc motor Q Cassette tape recorder 2 Single phase induction motor R Domestic water pump 3 Universal motor S Escalator 4 Three phase induction motor 5 DC series motor 6 Stepper motor (a) P – 3 Q – 6 R – 4 S - 5 (b) P – 1 Q – 3 R – 2 S - 4 (c) P – 3 Q – 1 R – 2 S - 4 (d) P – 3 Q – 2 R – 1 S - 4 8. A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected across the load to completely nullify the inductive current. For this operating condition. (a) the field current and fuel input have to be reduced (b) the field current and fuel input have to be increased (c) the field current has to be increased and fuel input left unaltered (d) the field current has to be reduced and fuel input left unaltered z u r x ur y u r +I -I w x GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 9. Curves X and Y in Fig.Q9 denote open circuit and full-load zero power factor (zpf) characteristics of asynchronous generator. Q is a point on the zpf characteristics at 1.0 p.u. voltage. The vertical distance PQ in Fig.Q.9 gives the voltage drop across (a) Synchronous reactance (b) Magnetizing reactance (c) Potier reactance (d) Leakage reactance 10. No-load test on a 3-phase induction motor was conducted at different supply voltages and a plot of input power versus voltage was drawn. This curve was extrapolated to intersect the y-axis. This intersection point yields (a) Core loss (b) Stator copper loss (c) Stray load loss (d) Friction and windage loss 11. Bundled conductors are mainly used in high voltage overhead transmission lines to (a) reduce transmission line losses (b) increase mechanical strength of the line (c) reduce corona (d) reduce sag 12. A power system consists of 300 buses out of which 20 buses are generator buses, 25 buses are the ones with reactive power support and 15 buses are the ones with fixed shunt capacitors. All the other buses are load buses. It is proposed to perform a load flow analysis for the system using Newton-Raphson method. The size of the Newton-Raphson Jacobian matrix is (a) 553×553 (b) 540×540 (c) 555×555 (d) 554×554 13. Choose two appropriate auxiliary components of a HVDC transmission system from the following P D.C. line inductor Q A.C. line inductor R Reactive power sources S Distance relays on D.C. line T Series capacitance of A.C. line (a) P and Q (b) P and R (c) Q and S (d) S and T P Q X Y 1.0 Voltage (p.u) Field Current Page 4 GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum Q.1 – Q.30 CARRY ONE MARK EACH 1. Fig.Q1 shows the waveform of the current passing through an inductor of resistance 1O and inductance 2 H. The energy absorbed by the inductor in the first four seconds is (a) 144 J (b) 98 J (c) 132 J (d) 168 J 2. A segment of a circuit is shown in Fig.Q2. V R = 5V, V C = 4 sin 2t. The voltage V L is given by (a) 3 – 8 cos 2t (b) 32 sin 2t (c) 16 sin 2t (d) 16 cos 2t 3. In the Fig.Q3. Z 1 =10?-60°, A2=10?60°, Z 3 =50?53.13°. The Venn impedance seen from X-Y is (a) 56.6?45° (b) 60?30° (c) 70?30° (d) 34.4?65° 4. Two conductors are carrying forward and return current of +I and –I as shown in Fig.Q4. The magnetic field intensity H at point P is (a) I y d p (b) I x d p (c) 2 I y d p (d) 2 I x d p 0 2S 6A 4S t + - - - + + V R 2A 5O 1F V L V C 2H P R S Q ~ Z 1 Z 3 Z 2 X Y + - 100?0° z u r x ur y u r P -I +I d d GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 5. Two infinite strips of width w m in x direction as shown in Fig.Q5, are carrying forward and return currents of +I and –I in the z direction. The strips are separated by a distance of xm. The inductance per unit length of the configuration is measured to be L H/m. If the distance of separation between the strips is now reduced to , 2 x m the inductance per unit length of the configuration is (a) 2L H/m (b) L/4 H/m (c) L/2 H/m (d) 4L H/m 6. A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load at the same power factor is (a) 86.7% (b) 88.26% (c) 88.9% (d) 87.8% 7. Group I lists different applications and Group II lists the motors for these applications. Match the application with the most suitable motor and choose the right combination among the choices given thereafter Group I Group II P Food mixer 1 Permanent magnet dc motor Q Cassette tape recorder 2 Single phase induction motor R Domestic water pump 3 Universal motor S Escalator 4 Three phase induction motor 5 DC series motor 6 Stepper motor (a) P – 3 Q – 6 R – 4 S - 5 (b) P – 1 Q – 3 R – 2 S - 4 (c) P – 3 Q – 1 R – 2 S - 4 (d) P – 3 Q – 2 R – 1 S - 4 8. A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected across the load to completely nullify the inductive current. For this operating condition. (a) the field current and fuel input have to be reduced (b) the field current and fuel input have to be increased (c) the field current has to be increased and fuel input left unaltered (d) the field current has to be reduced and fuel input left unaltered z u r x ur y u r +I -I w x GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 9. Curves X and Y in Fig.Q9 denote open circuit and full-load zero power factor (zpf) characteristics of asynchronous generator. Q is a point on the zpf characteristics at 1.0 p.u. voltage. The vertical distance PQ in Fig.Q.9 gives the voltage drop across (a) Synchronous reactance (b) Magnetizing reactance (c) Potier reactance (d) Leakage reactance 10. No-load test on a 3-phase induction motor was conducted at different supply voltages and a plot of input power versus voltage was drawn. This curve was extrapolated to intersect the y-axis. This intersection point yields (a) Core loss (b) Stator copper loss (c) Stray load loss (d) Friction and windage loss 11. Bundled conductors are mainly used in high voltage overhead transmission lines to (a) reduce transmission line losses (b) increase mechanical strength of the line (c) reduce corona (d) reduce sag 12. A power system consists of 300 buses out of which 20 buses are generator buses, 25 buses are the ones with reactive power support and 15 buses are the ones with fixed shunt capacitors. All the other buses are load buses. It is proposed to perform a load flow analysis for the system using Newton-Raphson method. The size of the Newton-Raphson Jacobian matrix is (a) 553×553 (b) 540×540 (c) 555×555 (d) 554×554 13. Choose two appropriate auxiliary components of a HVDC transmission system from the following P D.C. line inductor Q A.C. line inductor R Reactive power sources S Distance relays on D.C. line T Series capacitance of A.C. line (a) P and Q (b) P and R (c) Q and S (d) S and T P Q X Y 1.0 Voltage (p.u) Field Current GATE EE - 2003 14. A round rotor generator with internal voltage E 1 = 2.0 p.u. and X = 1.1 p.u. is connected to a round rotor synchronous motor with internal voltage E 2 = 1.3 p.u. and X = 1.2 p.u. The reactance of the line connecting the generator to the motor is 0.5 p.u. when the generator supplies 0.5 p.u. power, the rotor angle difference between the machines will be (a) 57.42° (b) 1° (c) 32.58° (d) 122.58° 15. The interrupting time of a circuit breaker is the period between the instant of (a) initiation of short circuit and the arc extinction on an opening operation (b) energizing of the trip circuit and the arc extinction on an opening operation (c) initiation of short circuit and the parting of primary arc contacts (d) energizing of the trip circuit and the parting of primary arc contacts 16. The variation of drain current with gate-to-source voltage ( ) characteristic D GS I V - of a MOSFET is shown in Fig.Q.16. The MOSFET is (a) an n-channel depletion mode device (b) an n-channel enhancement mode device (c) a p-channel depletion mode device (d) a p-channel enhancement mode device 17. In the circuit of Fig.Q17, assume that the transistor has 99 and 0.7 . FE BE h V V = = The value of collector current I C of the transistor is approximately (a) [3.3/3.3] mA (b) [3.3/(3.3+.33] mA (c) [3.3/33] mA (d) [3.3/(33+3.3] mA 18. For the circuit of Fig.Q18 with an ideal operational amplifier, the maximum phase shift of the output V out with reference to the input V in is (a) 0° (b) -90° (c) +90° (d) ±180° I D V GS 0 3.3kO 33kO 4V 3.3kO 12V I C + - R C R 1 R 1 v out V in Page 5 GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum Q.1 – Q.30 CARRY ONE MARK EACH 1. Fig.Q1 shows the waveform of the current passing through an inductor of resistance 1O and inductance 2 H. The energy absorbed by the inductor in the first four seconds is (a) 144 J (b) 98 J (c) 132 J (d) 168 J 2. A segment of a circuit is shown in Fig.Q2. V R = 5V, V C = 4 sin 2t. The voltage V L is given by (a) 3 – 8 cos 2t (b) 32 sin 2t (c) 16 sin 2t (d) 16 cos 2t 3. In the Fig.Q3. Z 1 =10?-60°, A2=10?60°, Z 3 =50?53.13°. The Venn impedance seen from X-Y is (a) 56.6?45° (b) 60?30° (c) 70?30° (d) 34.4?65° 4. Two conductors are carrying forward and return current of +I and –I as shown in Fig.Q4. The magnetic field intensity H at point P is (a) I y d p (b) I x d p (c) 2 I y d p (d) 2 I x d p 0 2S 6A 4S t + - - - + + V R 2A 5O 1F V L V C 2H P R S Q ~ Z 1 Z 3 Z 2 X Y + - 100?0° z u r x ur y u r P -I +I d d GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 5. Two infinite strips of width w m in x direction as shown in Fig.Q5, are carrying forward and return currents of +I and –I in the z direction. The strips are separated by a distance of xm. The inductance per unit length of the configuration is measured to be L H/m. If the distance of separation between the strips is now reduced to , 2 x m the inductance per unit length of the configuration is (a) 2L H/m (b) L/4 H/m (c) L/2 H/m (d) 4L H/m 6. A single phase transformer has a maximum efficiency of 90% at full load and unity power factor. Efficiency at half load at the same power factor is (a) 86.7% (b) 88.26% (c) 88.9% (d) 87.8% 7. Group I lists different applications and Group II lists the motors for these applications. Match the application with the most suitable motor and choose the right combination among the choices given thereafter Group I Group II P Food mixer 1 Permanent magnet dc motor Q Cassette tape recorder 2 Single phase induction motor R Domestic water pump 3 Universal motor S Escalator 4 Three phase induction motor 5 DC series motor 6 Stepper motor (a) P – 3 Q – 6 R – 4 S - 5 (b) P – 1 Q – 3 R – 2 S - 4 (c) P – 3 Q – 1 R – 2 S - 4 (d) P – 3 Q – 2 R – 1 S - 4 8. A stand-alone engine driven Synchronous generator is feeding a partly inductive load. A capacitor is now connected across the load to completely nullify the inductive current. For this operating condition. (a) the field current and fuel input have to be reduced (b) the field current and fuel input have to be increased (c) the field current has to be increased and fuel input left unaltered (d) the field current has to be reduced and fuel input left unaltered z u r x ur y u r +I -I w x GATE EE - 2003 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, interaction with IISc alumni in our online discussion forums, and more. For more details, visit Think GATE Think GATE Forum 9. Curves X and Y in Fig.Q9 denote open circuit and full-load zero power factor (zpf) characteristics of asynchronous generator. Q is a point on the zpf characteristics at 1.0 p.u. voltage. The vertical distance PQ in Fig.Q.9 gives the voltage drop across (a) Synchronous reactance (b) Magnetizing reactance (c) Potier reactance (d) Leakage reactance 10. No-load test on a 3-phase induction motor was conducted at different supply voltages and a plot of input power versus voltage was drawn. This curve was extrapolated to intersect the y-axis. This intersection point yields (a) Core loss (b) Stator copper loss (c) Stray load loss (d) Friction and windage loss 11. Bundled conductors are mainly used in high voltage overhead transmission lines to (a) reduce transmission line losses (b) increase mechanical strength of the line (c) reduce corona (d) reduce sag 12. A power system consists of 300 buses out of which 20 buses are generator buses, 25 buses are the ones with reactive power support and 15 buses are the ones with fixed shunt capacitors. All the other buses are load buses. It is proposed to perform a load flow analysis for the system using Newton-Raphson method. The size of the Newton-Raphson Jacobian matrix is (a) 553×553 (b) 540×540 (c) 555×555 (d) 554×554 13. Choose two appropriate auxiliary components of a HVDC transmission system from the following P D.C. line inductor Q A.C. line inductor R Reactive power sources S Distance relays on D.C. line T Series capacitance of A.C. line (a) P and Q (b) P and R (c) Q and S (d) S and T P Q X Y 1.0 Voltage (p.u) Field Current GATE EE - 2003 14. A round rotor generator with internal voltage E 1 = 2.0 p.u. and X = 1.1 p.u. is connected to a round rotor synchronous motor with internal voltage E 2 = 1.3 p.u. and X = 1.2 p.u. The reactance of the line connecting the generator to the motor is 0.5 p.u. when the generator supplies 0.5 p.u. power, the rotor angle difference between the machines will be (a) 57.42° (b) 1° (c) 32.58° (d) 122.58° 15. The interrupting time of a circuit breaker is the period between the instant of (a) initiation of short circuit and the arc extinction on an opening operation (b) energizing of the trip circuit and the arc extinction on an opening operation (c) initiation of short circuit and the parting of primary arc contacts (d) energizing of the trip circuit and the parting of primary arc contacts 16. The variation of drain current with gate-to-source voltage ( ) characteristic D GS I V - of a MOSFET is shown in Fig.Q.16. The MOSFET is (a) an n-channel depletion mode device (b) an n-channel enhancement mode device (c) a p-channel depletion mode device (d) a p-channel enhancement mode device 17. In the circuit of Fig.Q17, assume that the transistor has 99 and 0.7 . FE BE h V V = = The value of collector current I C of the transistor is approximately (a) [3.3/3.3] mA (b) [3.3/(3.3+.33] mA (c) [3.3/33] mA (d) [3.3/(33+3.3] mA 18. For the circuit of Fig.Q18 with an ideal operational amplifier, the maximum phase shift of the output V out with reference to the input V in is (a) 0° (b) -90° (c) +90° (d) ±180° I D V GS 0 3.3kO 33kO 4V 3.3kO 12V I C + - R C R 1 R 1 v out V in GATE EE - 2003 19. Fig.Q19 shows a 4 to 1 MUX to be used to implement the sum S of a 1-bit full adder with input bits P and Q and the carry input C in . Which of the following combinations of inputs to I 0 , I 1 , I 2 and I 3 of the MUX will realize the sum S? (a) 0 1 2 3 ; in in I I C I I C = = = = (b) 0 1 2 3 ; in in I I C I I C = = = = (c) 0 3 1 2 ; in in I I C I I C = = = = (d) 0 3 1 2 ; in in I I C I I C = = = = 20. When a program is being executed in an 8085 microprocessor, its Program Counter contains (a) the number of instructions in the current program that have already been executed (b) the total number of instructions in the program being executed (c) the memory address of the instruction that is being currently executed (d) the memory address of the instruction that is to be executed next 21. A control system is defined by the following mathematical relationship ( ) 2 2 2 6 5 12 1 t d x dx x e dt dt - + + = - The response of the system as t 8 is (a) x = 6 (b) x = 2 (c) x = 2.4 (d) x = -2 22. A lead compensator used for a closed loop controller has the following transfer function 1 1 s K a s b ? ? + ? ? ? ? ? ? + ? ? ? ? . For such a lead compensator (a) a < b (b) b < a (c) a > Kb (d) a < Kb 23. A second order system starts with an initial condition of 2 3 ? ? ? ? ? ? without any external input. The state transition matrix for the system is given by 2 0 . 0 t t e e - - ? ? ? ? ? ? ? ? The state of the system at the end of 1 second is given by (a) 0.271 1.100 ? ? ? ? ? ? (b) 0.135 0.368 ? ? ? ? ? ? (c) 0.271 0.736 ? ? ? ? ? ? (d) 0.135 1.100 ? ? ? ? ? ? P Q I 0 F S 1 S 4 to 1 MUX I 1 I 3 I 2 S 0Read More

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