Practice portal › Alternating Current › LC Oscillations
Asked in GUJCET 2026 · Frequency and current in LC
Given: C=30 μF=3×10⁻⁵ F and L=27 mH=2.7×10⁻² H; there is no resistance, so the oscillations are free.
Idea: the charged capacitor drives current into the inductor and the energy shuttles between the electric and the magnetic field at ω=1/(√LC).
LC=2.7×10⁻²×3×10⁻⁵=8.1×10⁻⁷ s².
√LC=9×10⁻⁴ s.
ω=1/(9×10⁻⁴)=1111 rad s⁻¹, which to two significant figures is the printed 1100 rad s⁻¹.
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