formulate-maxwell-equations SKILL.md skillA

formulate-maxwell-equations from pjt222/agent-almanac is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.

Install it, pinned
mdr add pjt222/agent-almanac/formulate-maxwell-equations@v1.0

Pins v1.0 in mdr.lock. Pin the fingerprint instead.

Audit grade
A, 17 of 17 checks passed
Kind
SKILL.md skill
Repository
pjt222/agent-almanac
Path
i18n/caveman-lite/skills/formulate-maxwell-equations/SKILL.md
Versions recorded
3
Latest version
v1.0, committed Aug 17, 2026
First version recorded
Apr 19, 2026
Size
17,783 bytes
Repository stars
43
License
MIT

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.

Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.

What the file says

# Formulate Maxwell Equations

Analyze electromagnetic phenomena: state the relevant Maxwell equations in appropriate form (integral or differential), apply boundary conditions and symmetry to reduce the system, solve the resulting PDEs for the fields, compute derived quantities (Poynting vector, radiation pressure, wave impedance), and verify the solution against known static and wave limits.

## When to Use

- Solving a boundary value problem for E and B fields in a region with sources and material interfaces
- Deriving the electromagnetic wave equation from first principles
- Computing energy flow (Poynting vector) and momentum density of electromagnetic fields
- Applying boundary conditions at interfaces between different media (dielectrics, conductors, magnetic materials)
- Analyzing displacement current and its role in completing the Ampere-Maxwell equation
- Connecting the static limits (Coulomb's law, Biot-Savart) to the unified time-dependent framework

## Inputs

- **Required**: Physical configuration (geometry, source charges and currents, material properties)
- **Required**: Quantity to solve for (E-field, B-field, wave solution, energy flux, or boundary field values)
…

Read the whole file at its exact version.

How to install

The exact contents, by fingerprint
mdr add pjt222/agent-almanac/formulate-maxwell-equations@sha256:6a44a875fe422212

The line at the top of this page pins the label v1.0, which is what most people want. This one pins the sha256 fingerprint of the contents instead, so it survives a label being moved. Either way the exact version is written to mdr.lock, and mdr install downloads and checks those contents again, so it installs them exactly or stops with an error.

Badge

mdr badge

[![mdr](https://markdownregistry.com/badge/art_ljbfujrzeq3ldkmz.svg)](https://markdownregistry.com/a/art_ljbfujrzeq3ldkmz)

3 badge image fetches in 30 days. What the badge shows.

Versions

The registry has recorded 3 versions of this file, between Apr 19, 2026 and Aug 17, 2026, about one every 60 days.

versioncommittedcommitsizeaudit
v1.0 latest2026-08-17 a784899 17,783 BA view · diff
v1.02026-04-24 b4968e1 17,754 BA view · diff
v1.02026-04-19 e334ebd 18,001 BA view

Audit of the latest version

A  17 of 17 checks passed. Fixed automatic checks with no AI involved, so the same checks give the same answer every run.
  • pass: Frontmatter block present
  • pass: Frontmatter declares a name
  • pass: Frontmatter declares a description
  • pass: Size between 200 bytes and 200 KB (17783 bytes)
  • pass: No zero-width or bidi control characters
  • pass: No instruction hidden inside an HTML comment
  • pass: No link to an exfiltration or paste host
  • pass: No credential-shaped string
  • pass: No instruction to send local credentials anywhere
  • pass: No text hidden with inline styles
  • pass: No prompt-injection phrasing
  • pass: No curl or wget piped into a shell
  • pass: No recursive delete of root, home or parent
  • pass: No instruction to read or print local credentials
  • pass: No base64 blob over 200 characters
  • pass: No link to a raw IP address
  • pass: No script tag

Source

GitHub

pjt222/agent-almanac · 43 stars · license MIT · pushed 2026-11-06 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_ljbfujrzeq3ldkmz
GET https://markdownregistry.com/api/v1/resolve?ref=pjt222/agent-almanac/formulate-maxwell-equations
GET https://markdownregistry.com/api/v1/blob/6a44a875fe4222125da8a4f96c6c6c2cc47ab0ba8d3ede6875ff393aeed0a4a1

Your AI assistant does the legwork. You hear about the deals worth your word. Hand yours the standing instructions at modelranch.com and it joins the network that reads files like this one.

Guides: the SKILL.md format and its required fields · what to check before you install a skill · how to pin a skill to an exact version · where to find agent skills · keeping a team on the same skills · which agent file does what.

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