LC-circuits-dat.md

What is an LC Circuit?

An LC circuit is a resonant circuit made of:

• L (Inductor): Stores energy in a magnetic field.
• C (Capacitor): Stores energy in an electric field.

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🔁 How It Works

The LC circuit continuously transfers energy back and forth: 1. The capacitor discharges through the inductor. 2. The inductor builds a magnetic field. 3. The magnetic field collapses, recharging the capacitor with opposite polarity. 4. The cycle repeats — this creates oscillations.

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📶 Resonance

An LC circuit has a natural resonant frequency:

[ f = \frac{1}{2\pi\sqrt{LC}} ]

Where:

• f = frequency (in Hz)
• L = inductance (in henries)
• C = capacitance (in farads)

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🧰 Common Uses

• Radio tuners (to select a station)
• Filters (high-pass, low-pass, band-pass)
• Oscillators (to generate signals)
• Impedance matching networks

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📷 Example

An AM radio uses an LC circuit to tune to a specific frequency, like 1000 kHz, by adjusting L or C.