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A coil having resistance of 7 ohm and.            inductance of 31.8 mH is connected to 230 v, 50hz  supply.   calculate 1) The circuit current  2) Phase angle  3) power factor   4) power consumed
Asked by a.muqtadir25 | 23 Mar, 2019, 15:24: PM
answered-by-expert Expert Answer
Impedence Z = begin mathsize 12px style square root of R squared plus L squared omega squared end root space space equals space square root of 7 squared plus space 3.8 cross times 3.8 cross times 10 to the power of negative 6 end exponent cross times 4 straight pi squared cross times 50 cross times 50 end root space equals space 7.1 space capital omega end style
Current = V / Z = 230/7.1 =  32.4 A
 
Phase angle Φ= tan -1 (Lω / R) = tan -1 ( 3.8×10-3 ×2π×50 / 7 ) = tan-1 (0.170) ≈ 9.7 °
 
power factor = cosΦ = cos (9.7) = 0.986
 
Power consumed = V × I × cosΦ = 230 × 32.4 × 0.986 = 7348 W

Answered by Thiyagarajan K | 23 Mar, 2019, 17:17: PM

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