🌀 LC Circuit

Master the harmony between Electric and Magnetic energy

Difficulty: ● Hard

📈 Oscilloscope (V & I)
📚 Key Concepts
  • Energy oscillates between the capacitor's electric field and the inductor's magnetic field.
  • At resonance, the inductive reactance equals the capacitive reactance.
  • Resistance causes damping, leading to a decay in the amplitude of oscillations over time.
🎯 Try This
  • Increase the Resistance to see how quickly the energy dissipates (damped oscillation).
  • Double the Capacitance and observe how the resonance frequency decreases.
  • Set Resistance to 0 and observe a perfectly perpetual ideal LC oscillation.
⚙️ Resonance Settings
Capacitance (C) 10.0 μF
Inductance (L) 5.0 H
Resistance (Ω) - Damping 0.50 Ω
Initial Voltage 200 V
Energy Distribution
Capacitor (Ue)
Inductor (Ub)
0.71
Frequency (Hz)
0.00
Peak Current (A)
0.20
Total Energy (J)
4.47
Angular Freq (rad/s)
📐 Advanced Theory
f = 1 / (2π√(LC))
Resonance Frequency
ω = 1 / √(LC)
Angular Frequency
U_E = Q² / (2C)
Capacitor Stored Energy
α = R / (2L)
Damping Coefficient