Science & Education
Maxwell Stress Tensor Calculator
T_ij = ε₀(E_iE_j − ½E²δ_ij) + (1/μ₀)(B_iB_j − ½B²δ_ij) from the full E and B vectors, with the 3×3 matrix, energy densities, trace check, and traction on a chosen surface.
text· Text resultOpen tool
Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/maxwell-stress-tensor' \
-H 'Content-Type: application/json' \
-d '{"ex":614,"ey":0,"ez":0,"bx":0,"by":2.0474,"bz":0,"eUnit":"Vm","bUnit":"uT","normal":"z"}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/maxwell-stress-tensorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| ex | number | Yes | — |
| ey | number | Yes | — |
| ez | number | Yes | — |
| bx | number | Yes | — |
| by | number | Yes | — |
| bz | number |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-maxwell-stress-tensor": {
"name": "maxwell-stress-tensor",
"description": "T_ij = ε₀(E_iE_j − ½E²δ_ij) + (1/μ₀)(B_iB_j − ½B²δ_ij) from the full E and B vectors, with the 3×3 matrix, energy densities, trace check, and traction on a chosen surface.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=maxwell-stress-tensor",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "maxwell-stress-tensor",
"arguments": {
"ex": 614,
"ey": 0,
"ez": 0,
"bx": 0,
"by": 2.0474,
"bz": 0,
"eUnit": "Vm",
"bUnit": "uT",
"normal": "z"
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]