LC Oscillation Frequency (ω = 1/√(LC))

jee-mainjee-advancedneet-ug

ω = 1/√(LC)

What each symbol means

SymbolWhat it stands for
CCapacitance (F)
LInductance (H)
ωAngular frequency (rad/s)

When to use this

Ideal LC circuit (no resistance). f = 1/(2π√(LC)). Energy oscillates between ½LI² (magnetic) and ½CV² (electric). Total energy = ½CV₀² = ½LI₀². Analogous to mass-spring: L↔m, 1/C↔k.