JEE Main 2026 Jan 24 Shift 1, Physics Q9: LR, CR, LCR Circuits

JEE Main2026Jan 24, Shift 1Physics

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

A
$4$
B
$10$
C
$6$
D
$8$

Solution

For a series LCR circuit, impedance is

$Z = R^{2} + (X_{L} - X_{C})^{2} = 6 0^{2} + (70 - 150)^{2} = 3600 + 6400 = 100 Ω$ .

Power factor:

$cos ϕ = \frac{R}{Z} = \frac{60}{100} = \frac{6}{10}$ .

$∴ α = 6$ .

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JEE Main 2026 Jan 24 Shift 1, Physics Q9: LR, CR, LCR Circuits

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