Patent Infringement Valuation & Royalty Matrix
Matches Verdict ($5.70B)Total Calculated Jury Verdict
Apple Cost Impact per iPhone
Expected Settlement Range
Linear Resonant Actuators (LRA) vs ERM Motors
Traditional smartphones relied on Eccentric Rotating Mass (ERM) motors, which require 30–50 ms to spin up and produce sluggish, noisy rumble. Apple's Taptic Engine pioneered customized linear resonant actuators (LRAs) that suspend a high-density tungsten mass on precision leaf springs.
By driving the voice coil at its exact mechanical resonant frequency (typically 150–220 Hz) and immediately applying a reverse-phase braking pulse, the Taptic Engine achieves instantaneous 5–8 ms transient clicks capable of mimicking physical button presses, tactile switches, and rotational detents.
Understanding the $5.7 Billion Patent Verdict
The multi-billion dollar jury award centers on fundamental patents covering electromagnetic actuator suspension geometry, active braking dampening algorithms, and low-latency drive signal synthesis deployed across hundreds of millions of iPhones, Apple Watches, and Mac trackpads.
In patent litigation damages, reasonable royalty calculations multiply infringing unit sales by a determined per-unit royalty rate. Historical appellate reviews in the US Court of Appeals for the Federal Circuit frequently examine whether the royalty base properly apportions the value of the actuator versus the entire price of the smartphone.
How this simulator calculates 2nd-order haptic dynamics
The physical movement of the actuator bob follows the driven damped harmonic oscillator differential equation:
m · d²x/dt² + c · dx/dt + k · x = F_EM(t)
where m is the moving tungsten mass, c = 2ζ√(km) is the viscous damping coefficient, k = m(2π f₀)² is the suspension spring stiffness, and F_EM(t) is the Lorentz electromagnetic voice coil driving force. The acceleration a(t) = d²x/dt² determines the perceived tactile G-force experienced through the device chassis.