What is The Physics of IgnitionDwell?
Mathematical Foundation
Laws & Principles
- The 3τ Saturation Limit: An ignition coil is just a massive inductor. Due to Faraday's Law, when voltage is applied, the coil fights the current. It takes exactly 3 time constants (3 * L/R) for the coil to hit ~95% of its maximum possible magnetic charge.
- Over-Dwell Meltdown: Commanding a 6.0ms dwell time on a coil that saturates at 3.0ms will absolutely NOT create a 'bigger spark'. The magnetic field is already physically full. Those extra 3.0 milliseconds simply turn the coil into a dead short, converting massive amperage directly into extreme heat, permanently melting the coil.
- The High RPM Floor: High RPM requires shorter dwell times because there physically isn't enough time between engine rotations to charge the coil. Low-resistance coils (0.5 Ohm vs 3.0 Ohm) allow massive current to rush in rapidly, hitting 3τ incredibly fast and guaranteeing full spark energy even at 10,000 RPM.
Step-by-Step Example Walkthrough
" Programming the ECU dwell table for a smart coil with 2.5mH inductance and 0.5 Ohms primary resistance, running on a 14.4V alternator. "
- 1. Calculate Max Current (I): 14.4V / 0.5 Ohms = 28.8 Amps max limit.
- 2. Calculate Time Constant (τ): 2.5mH / 0.5 Ohms = 5.0 milliseconds.
- 3. Determine Saturation Time (3τ): 5.0ms * 3 = 15.0ms.
- 4. Calculate 95% Effective Current: 28.8 Amps * 0.95 = 27.36 Amps flowing at 15.0ms.', '5. Convert Inductance to Henrys: 2.5mH / 1000 = 0.0025 Henrys.
- 6. Calculate Joules: 0.5 * 0.0025 * (27.36)² = ~0.935 Joules.
- 7. Convert to millijoules: 0.935 Joules * 1000 = ~935 mJ.