Math & Numbers
RLC Resonant Frequency Calculator (f = 1/(2π√(LC)))
Compute the LC (RLC series/parallel) resonant frequency: f₀ = 1/(2π·√(L·C)). Resonant frequency is identical for series and parallel RLC; R only affects Q and bandwidth. Solves for f₀, L, or C from the other two, and returns angular resonance ω₀ and characteristic impedance √(L/C). L in H/mH/µH, C in F/µF/nF/pF, f in Hz/kHz/MHz.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/resonant-frequency-rlc' \
-H 'Content-Type: application/json' \
-d '{"solveFor":"frequency","L":100,"inductanceUnit":"µH","C":100,"capacitanceUnit":"pF","f":0,"frequencyUnit":"MHz","decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/resonant-frequency-rlcParameters
| Name | Type | Required | Description |
|---|---|---|---|
| solveFor | select | No | Which quantity to compute: f₀ from L+C, L from f+C, or C from f+L. |
| L | number | No | Required when solving for f₀ or C. Enter in the selected Inductance Unit. |
| inductanceUnit | select | No | — |
| C | number | No | Required when solving for f₀ or L. Enter in the selected Capacitance Unit. |
| capacitanceUnit | select | No |
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:
{
"mcpServers": {
"elysiatools-resonant-frequency-rlc": {
"name": "resonant-frequency-rlc",
"description": "Compute the LC (RLC series/parallel) resonant frequency: f₀ = 1/(2π·√(L·C)). Resonant frequency is identical for series and parallel RLC; R only affects Q and bandwidth. Solves for f₀, L, or C from the other two, and returns angular resonance ω₀ and characteristic impedance √(L/C). L in H/mH/µH, C in F/µF/nF/pF, f in Hz/kHz/MHz.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=resonant-frequency-rlc",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "resonant-frequency-rlc",
"arguments": {
"solveFor": "frequency",
"L": 100,
"inductanceUnit": "µH",
"C": 100,
"capacitanceUnit": "pF",
"f": 0,
"frequencyUnit": "MHz",
"decimalPlaces": 4
}
}
}