Electromagnetic Induction and Alternating Current: AC Frequency Calculation MCQ

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AC Frequency CalculationMediumQuestion 20213

Question

An LC circuit has L = 25 mH and C = 100 μF. Resonance frequency is:

A
1000/π Hz
B
100/π Hz
Correct
C
π/10 Hz
D
1/(π) Hz

Correct answer

100/π Hz

Explanation

f = 1/(2π√LC) = 1/(2π√(0.025 × 10⁻⁴)) = 1/(2π × 0.05×10⁻¹) = 1/(2π × 0.05) = 1/(0.1π) = 10/π ... Let me recalculate: √(0.025 × 100×10⁻⁶) = √(25×10⁻⁴) = 0.05 s. f = 1/(2π × 0.05) = 1/(0.314) ≈ 100/π Hz ≈ 31.8 Hz.

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