For the series LCR circuit connected with 220 V, 50 Hz a.c source as shown in the figure, the power factor is (α)/(10). The value of α is ______. (a) 4 (b) 8 (c) 6 (d) 10

Answer: (c). X = XC - XL = 150-70 = 80 Ω, R = 60 Ω. Z=√(60²+80²)=100 Ω cos φ = 60/100 = 6/10 ⇒ α = 6, so the answer is (c) 6.

For the series LCR circuit connected with 220 V, 50 Hz a.c source as… | JEE Main 2026 (24 Jan, Shift 1)

Q15JEE Main 2026 · 24 JAN · SHIFT 1Medium

Power, Power Factor & Wattless Current

For the series LCR circuit connected with $220\text{ V}, 50\text{ Hz}$ a.c source as shown in the figure, the power factor is $\frac{\alpha}{10}$ . The value of $\alpha$ is ______.

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Answer: (c)

$X = X_C - X_L = 150-70 = 80\ \Omega$ , $R = 60\ \Omega$ .
$Z=\sqrt{60^2+80^2}=100\ \Omega$
$\cos\phi = 60/100 = 6/10 \Rightarrow \alpha = 6$ , so the answer is (c) 6.

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