Design Electromagnetic Device

Solve problems involving changing magnetic flux using Faraday's law, Lenz's law, motional EMF, mutual and self-inductance, and RL circuit transients. Use when computing induced EMF from time-varying B-fields or moving conductors, determining current direction via Lenz's law, analyzing inductance and energy storage in magnetic fields, or solving RL circuit differential equations for switching transients.

Work with the full set of Maxwell's equations in integral and differential form to analyze electromagnetic fields, waves, and energy transport. Use when applying Gauss's law, Faraday's law, or the Ampere-Maxwell law to boundary value problems, deriving the electromagnetic wave equation, computing Poynting vector and radiation pressure, solving for fields at material interfaces, or connecting electrostatics and magnetostatics to the unified electromagnetic framework.

Design an acoustic levitation system that uses standing waves to trap and suspend small objects at pressure nodes. Covers ultrasonic transducer selection, standing wave formation between a transducer and reflector, node spacing and trapping position calculation, acoustic radiation pressure analysis, and phased array configurations for multi-axis manipulation. Use when designing contactless sample handling for chemistry, biology, materials science, or demonstration purposes.

Calculate and visualize magnetic fields produced by current distributions using the Biot-Savart law, Ampere's law, and magnetic dipole approximations. Use when computing B-fields from arbitrary current geometries, exploiting symmetry with Ampere's law, analyzing superposition of multiple sources, or characterizing magnetic materials through permeability, B-H curves, and hysteresis behavior.

Runbook Generator

Use whenever the user wants to find, shortlist, vet, or enrich US engineering firms — civil, structural, MEP, mechanical, electrical, geotechnical, transportation, environmental, and manufacturing. **For real-world engineering (buildings, infrastructure, manufacturing) — NOT software engineering.** Triggers on "find civil engineering firms in Florida for transportation", "shortlist three structural engineering firms with high-rise experience", "MEP consultancy for a hospital project", or "pull contact info for these 12 engineering firm domains", even when described indirectly (PE-stamped drawings, building-permit review). Drives the ServiceGraph API (api.servicegraph.co) — a 100k+ US firm catalog filterable by industry, services, location, size, ratings. Defer software-dev / "engineering team" / SaaS-architecture asks to find-software-developer. Skip in-house engineering-manager hires, DIY questions, software-product comparisons (Revit, AutoCAD), non-US firms, individual freelancers.