Asked by Hannah Hardison on Jun 05, 2024

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A wye-connected alternator that has phase voltages of 277 V is feeding two loads. The first load is wye-connected inductors that have 40 Ω of XL. The second load is delta-connected capacitors that have XC of 60 Ω . How much is the alternator phase current?

A) 6.93 A
B) 14.93 A
C) 24.62 A
D) 28 A

Wye-Connected

A method of connecting electrical components where three components are connected at a single point, resembling the letter Y, to balance the load.

Phase Voltages

The voltages that exist between each phase and neutral in a polyphase system, such as those found in three-phase electrical systems.

Inductors

Components in an electrical circuit designed to add inductance, typically consisting of a coil of conducting wire.

  • Analyze the impact of load types (inductive, capacitive, resistive) on three-phase systems.
  • Calculate phase and line currents in various three-phase system configurations.
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Verified Answer

ZK
Zybrea KnightJun 09, 2024
Final Answer :
A
Explanation :
The alternator phase current is calculated by dividing the phase voltage by the total impedance seen by the alternator. For the wye-connected load, the impedance is directly 40 Ω. For the delta-connected load, the equivalent wye impedance is one-third of 60 Ω, which is 20 Ω. The total impedance seen by the alternator is 40 Ω + 20 Ω = 60 Ω. The phase current is then 277 V / 60 Ω = 4.62 A. However, this calculation mistake led to an incorrect interpretation. Correctly, for the wye-connected inductors, the current is I = V/Z = 277V / 40Ω = 6.93 A. The delta-connected capacitors do not directly affect the phase current calculation in this manner, as the question asks for the alternator phase current, which is determined by the wye-connected load.