tutorial on three phase ac circuits

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REVA INSTITUTE OF TECHNOLOGY AND MANAGEMENT, BANGALORE ELECTRICAL AND ELECTRONICS ENGINEERING DEPT. TUTORIAL ON UNIT-3: Three Phase AC Circuits (Common to I Semester-A,B,C,D,E,F,G,H-sections) Objective type questions-Choose the correct answer 1. In double notation, the symbol V ab represents--- A. The voltage of terminal ‘b’ with respect to that of terminal ‘a’ B. The voltage of terminal ‘a’ with respect to that of terminal ‘b’ C. the voltage difference between terminals ‘a’ and ‘b’ D. the voltage difference between terminals ‘b’ and ‘a’ 2. In a three phase, star connected system, the three phase voltages are 100 0 0 V, 100 120 0 V and 100 24 0 0 V. Then the three line voltages must be--- A. 173.2 0 0 V, 173.2 120 0 V and 173.2 240 0 V B. 173.2 30 0 V, 173.2 150 0 V and 173.2 270 0 V C. 173.2 30 0 V, 173.2 90 0 V and 173.2 150 0 V D. 57.7 0 0 V, 57.7 120 0 V and 57.7 240 0 V 3. In a balanced 3 phase star connected load, the three phase currents are 10∠-30 0 A, 10∠-150 0 A and 10∠90 0 A. Then the three line currents must be— A. 17.32 30 0 V, 17.32 150 0 V and 17.32 90 0 V B. 17.32 0 0 V, 17.32 120 0 V and 17.32 120 0 V C. 10 0 0 V, 10 120 0 V and 10 120 0 V D. 10 30 0 V, 10 150 0 V and 10 270 0 V

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REVA INSTITUTE OF TECHNOLOGY AND MANAGEMENT, BANGALOREELECTRICAL AND ELECTRONICS ENGINEERING DEPT.TUTORIAL ON UNIT-3: Three Phase AC Cir!i"s (Common to I Semester-A,B,C,D,E,F,G,H-sections)O#$e"i%e "&'e (!es"i)*s-Ch))se "he )rre" a*s+er1. In double notation, te s!mbol "ab re#resents---A. $e %olta&e o' terminal (b) *it res#ect to tat o' terminal (a)B. $e %olta&e o' terminal (a) *it res#ect to tat o' terminal (b)C. te %olta&e di''erence bet*een terminals (a) and (b)D. te %olta&e di''erence bet*een terminals (b) and (a)+. In a tree #ase, star connected s!stem, te tree #ase %olta&es are 1,,00", 1,, 1200"and 1,, 2400". $en te tree line %olta&es must be---A. 1-..+ 00", 1-..+ 1200" and 1-..+ 2400"B. 1-..+ 300", 1-..+ 1500" and 1-..+ 2700"C. 1-..+ 300", 1-..+ 900" and 1-..+ 1500"D. /-.- 00", /-.- 1200" and /-.- 2400".. In a balanced . #ase star connected load, te tree #ase currents are 1,-.,,A, 1,-1/,,A and1,0,,A. $en te tree line currents must be1A. 1-..+ 300", 1-..+ 1500" and 1-..+ 900"B. 1-..+ 00", 1-..+ 1200" and 1-..+ 1200"C. 1, 00", 1, 1200" and 1, 1200"D. 1, 300", 1, 1500" and 1, 2700"2. A . #ase, 2 *ire s!stem su##lies #o*er to a balanced star connected load. $e current in eac #ase is1/A. $e current in te neutral *ire *ill be--- A. 1/A B. .,A C. 2/A D. ,/. $e se3uence 45B denotes tat---A. te em' o' #ase 4 la&s tat o' #ase B b! 1+,, B. te em' o' #ase 4 la&s tat o' #ase 5 b! 1+,,C. te em' o' #ase 4 leadstat o' #ase 5 b! 1+,,D. te em' o' #ase B leadstat o' #ase 4 b! 1+,,6. Ina . #ase#o*ermeasurementb! t*o *attmetermetod,bot*attmeters readtesame %alue.$e#o*er 'actor o' te load must be---A. 1 B. ,.-,- la&&in& C. ,.-,- leadin& D. 7ero-. In a . #ase #o*er measurement b! t*o *attmeter metod, te readin& o' one o' te *attmeters *as 7ero.$e #o*er 'actor o' te load must be----A. 1 B. ,.8 C. ,./ ,8. Ina.#ase#o*ermeasurementb!t*o*attmetermetod, tereadin&o'oneo'te*attmeters*asne&ati%e. $e #o*er 'actor o' te load must be ---A. 9,./ B. :,./ C. ;,./ D. .F. la&&in&. Find te line currents and te current in eac #ase o' te load. Bat is te loadim#edance #er #aseE GAnsF +-.1-A, 1/.68A,(+,..1CI1/.+.)H2 $ree identical coils a%in& resistance o' 1/and inductance o' ,.,.H are connected in delta across .#ase2,,",/,H7su##l!.Calculate(i)>asecurrent(ii)@inecurrent (iii)#o*erconsumed. GAnsF (i)++./-A (ii) .0.1A (iii) ++0+..++BH/ A balanced . #ase star connected load dra*s #o*er 'rom 22," su##l!. $e t*o *attmeters connectedindicate B1;/JB and B+;1.+JB.Calculate#o*er,>.F.andcurrentintecircuit. GAnsF6.+JB,,.68/,11.88AH6 $*o Battmeters connected to measure #o*er in a . #ase circuit read /JB and 1JB, te latter readin&bein&obtaineda'terre%ersin&current coil connections. Calculate>.F.o'teloadandtetotal #o*erconsumed. GAnsF ,../0,2,,,BH- >o*er is measured in a . #ase balanced load usin& t*o *attmeters. $e line %olta&e is 2,,". $e load andits >.F. is so adIusted tat te line current is al*a!s 1,A. Find te readin& o' te *attmeters *en te >.F. is(i) unit! (ii) ,.866 (iii) ,./ and (i%) 7ero. GAnsF (i) .262.1B,.262.1B (ii) 2,,,B, +,,,B (iii) .262.1B (i%)+,,,B, -+,,,BH8 Estimate te >.F. in eac o' te 'ollo*in& cases o' t*o *attmeter metod o' measurin& . #ase #o*er. (i)Battmeter readin&s are e3ual (ii) *attmeter readin&s are e3ual and o##osite (iii) *attmeter readin&s are inte ratio 1F+ (i%) one *attmeter reads 7ero. GAnsF (i) 1 (ii) , (iii) ,.866 (i%) ,./H