LC Oscillation

An inductor and capacitor exchanging energy at a resonant frequency.

How inductors and capacitors exchange energy to create resonant electrical oscillations.

What is LC oscillation?

An LC circuit contains an inductor and a capacitor. Energy moves back and forth between the capacitor's electric field and the inductor's magnetic field.

That exchange creates an electrical oscillation whose ideal angular frequency is determined by the inductance and capacitance:

Real circuits lose energy through resistance, so an amplifier or other source may be needed to sustain oscillation.

Why does it matter?

Resonance lets a circuit select a narrow band of frequencies, create a stable carrier or measure a physical change.

LC networks appear in radio tuners, oscillators, filters, impedance matching, clocks and power converters.

Intuition

At one moment the capacitor stores most of the energy. Current then flows through the inductor, building a magnetic field. The capacitor discharges, the current reaches a maximum and the magnetic field collapses, charging the capacitor with opposite polarity. The cycle repeats.

History and practice

Resonant circuits helped make wireless telegraphy and radio tuning practical. Modern systems use integrated inductors, varactors and digital control, but the same energy exchange remains.

Real design must consider parasitic capacitance, coil resistance, component tolerance, temperature, loading and electromagnetic coupling.

Future

Resonance will remain important in wireless power, sensors, filters, medical imaging and high-frequency computing.

Its lesson is general: useful signals often emerge when energy, timing and feedback are shaped instead of merely increased.

Ai disclosure: written with the help of AI (ChatGPT). You are encouraged to point out errors and omissions.

Updated: 2026 Sep 18