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Sequence-Current Calculation

The line currents of a 3-phase power supply are I = 3 + j5 A, I = 2 + j2 A, I = – 2 – j1 A R Y B The zero sequence current will be:
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Answer & Explanation
Correct AnswerA. 1 + j2 A

Quick Explanation

Zero-sequence current is one-third of the phasor sum of line currents: I0=(IR+IY+IB)/3. Here (3+j5)+(2+j2)+(−2−j1)=3+j6, so I0=1+j2 A. Thus option A.

Formula / Key Relation

I0=(IR+IY+IB)/3=(3+j6)/3=1+j2A
Sequence-Current Calculation explanatory diagram

Detailed Explanation

Correct Answer

A — 1 + j2 A

Concept and Reasoning

Zero-sequence current is one-third of the phasor sum of line currents: I0=(IR+IY+IB)/3. Here (3+j5)+(2+j2)+(−2−j1)=3+j6, so I0=1+j2 A. Thus option A.

Calculation / Key Relation

I0=(IR+IY+IB)/3=(3+j6)/3=1+j2A

Exam Takeaway

Zero sequence = average of the three phase-current phasors.

Common Mistake

Do not forget the factor 1/3 after summing the line currents.

Quick Trick

Zero sequence = average of the three phase-current phasors.

Common Mistake

Do not forget the factor 1/3 after summing the line currents.

Exam Tip

Zero sequence = average of the three phase-current phasors.

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