JEE Main 2026 Apr 5 Shift 2, Physics Q23: LR, CR, LCR Circuits

JEE Main2026Apr 5, Shift 2Physics

A series LCR circuit with $R = 20 Ω$ , $L = 1.6$ H and $C = 40 μ$ F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is _______ $Ω$ .

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Solution

At resonance, $ω = \frac{1}{L C} = \frac{1}{1.6 \times 40 \times 1 0 ^{- 6}} = \frac{1}{64 \times 1 0 ^{- 6}} = \frac{1 0 ^{3}}{8} = 125$ rad/s.

$X_{L} = ω L = 125 \times 1.6 = 200 Ω$ .

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JEE Main 2026 Apr 5 Shift 2, Physics Q23: LR, CR, LCR Circuits

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