{"uid":"cap_iGgiFVpAw4erG4g4zz2TQ","slug":"ac-series-rlc-circuit-calculator-740b070b","name":"AC Series RLC Circuit Calculator","description":"Series R, L, C impedance, phase angle, current, resonant frequency, Q and bandwidth at a given frequency.","url":"https://electrical-calc.x402tookit.com/ohms-law-ac?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["resistanceOhm","frequencyHz"],"properties":{"voltageV":{"type":"number","description":"RMS source voltage in volts, for current and component voltages"},"frequencyHz":{"type":"number","description":"AC frequency in hertz"},"inductanceMh":{"type":"number","description":"Series inductance in millihenries (omit for none)"},"capacitanceUf":{"type":"number","description":"Series capacitance in microfarads (omit for none)"},"resistanceOhm":{"type":"number","description":"Series resistance in ohms (0 or 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impedance, phase angle, current, reactances, power, resonant frequency, Q-factor, and bandwidth for a series R, L, C circuit at a given AC frequency.","exampleAgentPrompt":"Calculate the impedance, phase angle, resonant frequency, Q-factor, and bandwidth for a series RLC circuit with 10 ohms resistance, 50 millihenries inductance, and 100 microfarads capacitance driven at 60 Hz with 120 V RMS.","exampleUseCases":[{"title":"Filter design resonance check","prompt":"I'm designing a series RLC bandpass filter with 5 ohms resistance, 20 millihenries inductance, and 47 microfarads capacitance — can you tell me the resonant frequency, Q-factor, and bandwidth at 120 Hz?"},{"title":"AC circuit power factor analysis","prompt":"For a series circuit with 25 ohms resistance, 100 millihenries inductance, and no capacitor, running on 230 V RMS at 50 Hz, what are the impedance, phase angle, current, power factor, and real vs apparent power?"},{"title":"Component voltage stress check","prompt":"I need to know the voltage across the capacitor and inductor in a series RLC circuit: 8 ohms resistance, 15 millihenries inductance, 220 microfarads capacitance, 120 V RMS at 60 Hz — are the component voltages going to be dangerously high?"}],"resultDescription":"Returns a JSON object containing: impedance in ohms, phase angle in degrees, current in amps, inductive and capacitive reactance, net reactance, resonant frequency in Hz, quality factor (Q), bandwidth in Hz, power factor, real power in watts, apparent power in VA, and individual voltages across the resistor, inductor, and capacitor — all derived from the supplied R, L, C, frequency, and optional source voltage values.","failureModes":["Missing required fields (resistanceOhm or frequencyHz) returns a validation error","Zero resistance with only L or C may produce division-by-zero or infinite Q","Omitting voltage means current and power outputs will be null","Negative or physically impossible component values may return errors or nonsensical results","Network or payment (x402) failure results in no response"],"whenToPreferThis":"Use this endpoint when you need a fast, on-demand numerical solution for a series R-L-C AC circuit — especially when you need multiple computed quantities (impedance, Q, bandwidth, resonant frequency, component voltages) in a single call. Prefer this over manual calculation or general-purpose math tools when working inside an automated agent workflow that needs structured JSON output. It is specifically suited for series (not parallel) RLC configurations at a single frequency point.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-02T18:33:03.523Z","isFirstParty":false,"canonicalSlug":"ac-series-rlc-circuit-calculator-740b070b"}