a coil of inductive reactance 31ohm has a resistance of 8ohm . It is placed in series with a condenser of capacitative reactance 25 ohm. The combination is connected to an AC source of 110V. the power factor of the circuit is
1) 0.56
2) 0.64
3) 0.80
4) 0.33

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Solution

$P o w e r f a c t o r o f a n A c c i r c u i t i s g i v e n b y : \cos ϕ = \frac{R}{Z} R = 8 o h m Z = \sqrt{R^{2} + {(X_{l} - X_{c})}^{2}} X_{l} = 31 o h m X_{c} = 25 o h m Z = \sqrt{64 + 36} Z = 10 p o w e r f a c t o r = \frac{8}{10} = 0.8$

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a coil of inductive reactance 31ohm has a resistance of 8ohm . It is placed in series with a condenser of capacitative reactance 25 ohm. The combination is connected to an AC source of 110V. the power factor of the circuit is1) 0.562) 0.643) 0.804) 0.33

Power factor of an Ac circuit is given by:cos ϕ = RZR = 8 ohmZ = R2+Xl-Xc2Xl = 31 ohmXc = 25 ohmZ = 64+36Z = 10power factor = 810 = 0.8

a coil of inductive reactance 31ohm has a resistance of 8ohm . It is placed in series with a condenser of capacitative reactance 25 ohm. The combination is connected to an AC source of 110V. the power factor of the circuit is
1) 0.56
2) 0.64
3) 0.80
4) 0.33

$P o w e r f a c t o r o f a n A c c i r c u i t i s g i v e n b y : \cos ϕ = \frac{R}{Z} R = 8 o h m Z = \sqrt{R^{2} + {(X_{l} - X_{c})}^{2}} X_{l} = 31 o h m X_{c} = 25 o h m Z = \sqrt{64 + 36} Z = 10 p o w e r f a c t o r = \frac{8}{10} = 0.8$