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Determine the complex power for hte given values in question.
P = 269 W, Q = 150 VAR (capacitive)
  • a)
    150 - j269 VA
  • b)
    150 + j269 VA
  • c)
    269 - j150 VA
  • d)
    269 + j150 VA
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Determine the complex power for hte given values in question.P =269 W,...
S = P-jQ = 269-j150 VA
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Most Upvoted Answer
Determine the complex power for hte given values in question.P =269 W,...
Understanding Complex Power
Complex power (S) is a combination of real power (P) and reactive power (Q) in an electrical system. It is represented as:
S = P + jQ
Where:
- P = Real power (in watts, W)
- Q = Reactive power (in volt-amperes reactive, VAR)
- j = Imaginary unit
Given Values
- Real Power (P) = 269 W
- Reactive Power (Q) = 150 VAR (capacitive)
Since the reactive power is capacitive, it will have a negative j component when represented in complex power notation:
- Q = -150 VAR
Calculating Complex Power
Using the formula for complex power:
S = P + jQ
Substituting the values:
S = 269 W - j150 VAR
This can be rewritten as:
S = 269 - j150 VA
Identifying the Correct Option
Reviewing the options given:
a) 150 - j269 VA
b) 150 + j269 VA
c) 269 - j150 VA
d) 269 + j150 VA
The calculated complex power, S = 269 - j150 VA, matches option c.
Conclusion
The correct answer is option 'C' because it accurately represents the real and reactive power values in the complex power format, confirming the relationship between P and Q in a capacitive system.
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