Review Materials: Three Phase Circuits, Exercises of Electrical Engineering

Review Materials: Three Phase Circuits

Typology: Exercises

2024/2025

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Review Materials: Three Phase Circuits
Prepared By: Engr. Rhaffy C. Arenas
1. In a balanced 2-phase voltage system, the phase voltages are 100 volts, what
is the line to line voltage?
A. 120 volts C. 141 volts
B. 170 volts D. 60 volts
2. In a balance three phase voltage, Van=110/30. What is Vbn using ACB
sequence?
A. 95.2 โ€“ j165 C. 95.3 + j165
B. -95.2 + j55 D. 0 โ€“ j110
3. A balanced three phase wye connected source has using positive phase
sequence, Vca = 230 Vrms with 90 degrees angle. Determine Vbc.
A. 230 + j0 volts C. 115 โ€“ j199 volts
B. -199 โ€“ j115 volts D. โ€“j220 volts
4. A three phase, balanced delta connected resistive load draws 30 amperes
phase current from balanced three phase supply. An open circuit faults occurs
in one of the lines. Determine the line current.
A. 45 Amp C. 90 Amp
B. 60 Amp D. 100 Amp
5. Three 3.33 ohms resistance are connected in wye across 220 V, 3-phase
supply. What is its equivalent delta connected resistance.
A. 2.22 ohms C. 6.7 ohms
B. 20 ohms D. 10 ohms
6. Three identical resistances connected in wye carry a line current of 30 Amp. If
the same resistances are connected in delta across the same supply, what is
the line current?
A. 10 Amps C. 30 Amps
B. 60 Amps D. 90 Amps
7. The secondary of a transformer bank is wye-grounded, it has a balance
voltage and the balanced load. The voltage to ground is 132V and its line
current is 40A. What is kVA of the load?
A. 9.1 C. 27.4
B. 19.2 D. 15.84
8. The phase b line voltage and the phase a line current of a balanced 3-phase
system are: V = 220 sin (wt + 2100) Volts and I = 10 sin (wt - 300) Amp
respectively. What is the power of the system?
A. 1905 Watts C. 5716 Watts
B. 3300 Watts D. 3810 Watts
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Review Materials: Three Phase Circuits Prepared By: Engr. Rhaffy C. Arenas

  1. In a balanced 2-phase voltage system, the phase voltages are 100 volts, what is the line to line voltage? A. 120 volts C. 141 volts B. 170 volts D. 60 volts
  2. In a balance three phase voltage, Van=110/30. What is Vbn using ACB sequence? A. 95.2 โ€“ j165 C. 95.3 + j B. -95.2 + j55 D. 0 โ€“ j
  3. A balanced three phase wye connected source has using positive phase sequence, Vca = 230 Vrms with 90 degrees angle. Determine Vbc. A. 230 + j0 volts C. 115 โ€“ j199 volts B. -199 โ€“ j115 volts D. โ€“j220 volts
  4. A three phase, balanced delta connected resistive load draws 30 amperes phase current from balanced three phase supply. An open circuit faults occurs in one of the lines. Determine the line current. A. 45 Amp C. 90 Amp B. 60 Amp D. 100 Amp
  5. Three 3.33 ohms resistance are connected in wye across 220 V, 3-phase supply. What is its equivalent delta connected resistance. A. 2.22 ohms C. 6.7 ohms B. 20 ohms D. 10 ohms
  6. Three identical resistances connected in wye carry a line current of 30 Amp. If the same resistances are connected in delta across the same supply, what is the line current? A. 10 Amps C. 30 Amps B. 60 Amps D. 90 Amps
  7. The secondary of a transformer bank is wye-grounded, it has a balance voltage and the balanced load. The voltage to ground is 132V and its line current is 40A. What is kVA of the load? A. 9.1 C. 27. B. 19.2 D. 15.
  8. The phase b line voltage and the phase a line current of a balanced 3-phase system are: V = 220 sin (wt + 210^0 ) Volts and I = 10 sin (wt - 30^0 ) Amp respectively. What is the power of the system? A. 1905 Watts C. 5716 Watts B. 3300 Watts D. 3810 Watts
  1. A balanced three phase wye-connected load of 150kW takes a leading current of 100A, when the line is 2400V, 60Hz. What is the capacitance per phase? A. 21 mF C. 205 mF B. 21uF D. 205 uF
  2. A delta connected load of 9 + j12 ohms per phase is supplied by a 3-phase balance source of 230 volts rms through a line with an impedance of 0.06 + j0.12 ohm. Find the phase voltage at the load. A. 288 volts C. 132 volts B. 224 volts D. 228 volts
  3. The load on a 230 volts three phase generator consist of (a) three groups of incandescent lamps, each group containing twenty 100 watts lamps and (b) a 9 hp motor operating at 82 percent P.F. at 87 percent efficiency. Find the total load current in amperes? A. 37 C. 45 B. 25 D. 30
  4. A circuit consisting of three resistors rated: 10 ohms, 15 ohms and 20 ohms are connected in wye. What would be the resistances of the equivalent Delta connected load? A. 33, 23, & 15 ohms C. 70, 44.4, & 36.7 ohms B. 30, 40, & 50 ohms D. 65, 43.3, & 32.5 ohms
  5. A balanced 3-phase, 3 wire, 240V, 60 Hz, ABC source supplies power to a star connected resistance 10 ohms, 15 ohms, and 20 ohms. What is the current through 20 ohms resistance? A. 11.23 Amp C. 15.93 Amp B. 9.77 Amp D. 8.05 Amp
  6. The power input to a 440 Volts, 3-phase motor is measured by two wattmeter method, readings are 460W and 780W. What is the input current? A. 1.78 Amp C. 1.63 Amp B. 0.94 Amp D. 2.82 Amp
  7. A 132kV line, three phase systems delivers 70.7MVA of a balanced delta load of power factor 70.7%. Determine the reactance necessary to attain the unity power factor? A. 1092 ohms C. 1142 ohms B. 965 ohms D. 1045 ohms