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CBSE Class 12-science Answered

Value of power factor of L.C.R circuit which is in the state of resonance?
Asked by Anshul | 14 Aug, 2017, 09:18: PM
answered-by-expert Expert Answer
-At resonance, Inductive resistance (XL) is equal to capacitive resistance (Xc)
-The Power factor is nothing but cosine of phase angle between voltage and current.
-For RLC circuit, the pf is also given by
begin mathsize 12px style Cosϕ equals straight R over straight Z straight Z equals square root of straight R squared plus left parenthesis straight X subscript straight L superscript 2 minus straight X subscript straight C superscript 2 right parenthesis end root At space resonance comma space straight X subscript straight L equals straight X subscript straight C straight Z equals straight R Power space Factor space Cosϕ equals 1 end style

- Therefore, the value of power factor of L.C.R circuit which is in the state of resonance is unity (one).
 
Hope this was helpful :)
Answered by Abhijeet Mishra | 15 Aug, 2017, 06:00: PM

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