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Math & Numbers

Capacitor Reactive Power Calculator (Q_c = 2πfCU²)

Compute the reactive power produced by a known capacitor: Q_c = 2π·f·C·U². Supports single-phase, three-phase star (Y) and delta (Δ) connections. Returns Q_c in var/kvar, capacitive reactance Xc, and capacitor current Ic. Complementary to the power-factor-correction tool (which sizes a capacitor for a target cosφ).

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/capacitor-reactive-power' \
  -H 'Content-Type: application/json' \
  -d '{"connection":"single","capacitance":10,"capacitanceUnit":"µF","frequency":50,"voltage":230,"decimalPlaces":4}'

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/capacitor-reactive-power

Parameters

NameTypeRequiredDescription
connectionselectNo—
capacitancenumberYesCapacitance value in the selected unit. For three-phase, enter the per-phase capacitance.
capacitanceUnitselectNo—
frequencynumberYes—
voltagenumberYesFor single-phase: phase voltage. For three-phase star/delta: line-to-line voltage.

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-capacitor-reactive-power": {
      "name": "capacitor-reactive-power",
      "description": "Compute the reactive power produced by a known capacitor: Q_c = 2π·f·C·U². Supports single-phase, three-phase star (Y) and delta (Δ) connections. Returns Q_c in var/kvar, capacitive reactance Xc, and capacitor current Ic. Complementary to the power-factor-correction tool (which sizes a capacitor for a target cosφ).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=capacitor-reactive-power",
      "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": "capacitor-reactive-power",
    "arguments": {
  "connection": "single",
  "capacitance": 10,
  "capacitanceUnit": "µF",
  "frequency": 50,
  "voltage": 230,
  "decimalPlaces": 4
}
  }
}
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).
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decimalPlacesnumberNo—

Response format

JSON result

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

Questions or issues? Contact [email protected]