AC Circuit
Verified Calculation Engine
The online AC Circuit helps you calculate instantly and solve problems related to Magnetism. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Physics calculations.
AC Circuit: calculate the requested physical quantity from the stated inputs using Z=√(R²+X²); I_rms=V_rms/Z; φ=tan⁻¹(X/R). The page states the model assumptions, units and worked examples so the result can be checked.
- Sinusoidal steady-state series R-X model using RMS voltage/current. The reactance X is the net reactive component and Z=√(R²+X²).
Inputs
Results
Symbols, Variables & Units
| Input | Symbol / name | Unit | Role |
|---|---|---|---|
rmsVoltage | RMS voltage | V | RMS voltage in V. |
resistance | Resistance | Ω | Resistance in Ω. |
reactance | Reactance | Ω | Reactance in Ω. |
Use a consistent unit system. The Physics engine evaluates numerical inputs in the units stated beside each field; it does not silently convert incompatible dimensions.
Physics Study Guide
Concept
AC impedance
Exam focus
Use RMS quantities consistently and calculate Z=√(R²+X²). The sign of X determines whether the phase is inductive or capacitive.
Common mistakes
- Do not mix peak and RMS values.
- Reactance is not the same as resistance.
- Use the correct sign of X when interpreting phase angle.
How to verify your answer
Check Z≥|R|, I=V_rms/Z and φ=atan2(X,R).
Model limits
This result is valid only under the assumptions stated on the calculator page. For real systems with non-ideal geometry, losses, distributed effects or relativistic/quantum corrections, use the appropriate advanced model.
Worked Examples
Worked example
Use rms voltage = 12, resistance = 1, reactance = 4. The validated result is current = 2.9104275, impedance = 4.1231056, phase angle = 75.963757.
- rmsVoltage: 12
- resistance: 1
- reactance: 4
- current: 2.9104275
- impedance: 4.1231056
- phaseAngle: 75.963757
- result: 2.9104275
Second worked example
Use rms voltage = 18, resistance = 1.5, reactance = 6. The validated result is current = 2.9104275, impedance = 6.1846584, phase angle = 75.963757.
- rmsVoltage: 18
- resistance: 1.5
- reactance: 6
- current: 2.9104275
- impedance: 6.1846584
- phaseAngle: 75.963757
- result: 2.9104275