A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series with a condenser of capacitative reactance 25 Ω. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is (a) 0.33 (b) 0.56 (c) 0.64 (d) 0.80

Answer: (d). X = XL - XC = 31-25 = 6 Ω Z=√(8²+6²)=10 Ω cos φ = R/Z = 8/10 = 0.80, so the answer is (d).

A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is… | NEET 2006 (AIPMT)

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Power, Power Factor & Wattless Current

A coil of inductive reactance 31 $\Omega$ has a resistance of 8 $\Omega$ . It is placed in series with a condenser of capacitative reactance 25 $\Omega$ . The combination is connected to an a.c. source of 110 V. The power factor of the circuit is

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Answer: (d)

$X = X_L - X_C = 31-25 = 6\ \Omega$
$Z=\sqrt{8^2+6^2}=10\ \Omega$
$\cos\phi = R/Z = 8/10 = 0.80$ , so the answer is (d).

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