In a series LCR circuit, the inductance L is 10 mH , capacitance C is 1 μF and resistance R is 100 Ω . The frequency at which resonance occurs is: - Physics MCQ NEET 2023 2026 | ExamTest.live

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In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 μ F and resistance R is 100 Ω . The frequency at which resonance occurs is:

Solution & Step-by-step Explanation

Shutterstock Explore The resonant frequency f of a series LCR circuit is: f = \frac{1}{2 π L C} Given: L = 10 mH = 10 \times 1 0^{- 3} H C = 1 μ F = 1 \times 1 0^{- 6} F $ f = \frac{1}{2 π ( 10 \times 1 0 ^{- 3} ) \times ( 1 \times 1 0 ^{- 6} )} $ f = \frac{1}{2 π 1 0 ^{- 8}} = \frac{1}{2 π \times 1 0 ^{- 4}} f = \frac{1 0 ^{4}}{2 \times 3.14} = \frac{10000}{6.28} \approx 1592.3 Hz f \approx 1.59 kHz

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In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 μ F and resistance R is 100 Ω . The frequency at which resonance occurs is:

15.9 rad/s

15.9 kHz

1.59 rad/s

1.59 kHz

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