Question
Download Solution PDFWhat is the range of operating power factor for any given RC series circuit?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 3):(0 to 1 )
Concept:
- In a Series R-C circuit, for maximum power Rc = Xc
Power factor = cosϕ = R/|Z|
|Z| = \( \sqrt {R_2+X_{c2}}\)
= \(\sqrt{R_2+R_2 } \) = \(\sqrt 2\)R
Power factor cosϕ = \( R\over \sqrt{2}R\) = \(1 \over \sqrt{2} \)
- The power factor corresponding to maximum power is 0.707 lead.
- The power factor is leading because the circuit has capacitive reactance.
- The range of operating power factor for any given RC series circuit is 0 to 1
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