Inductive reactance calculator

Frequency must be non-negative: a negative f is outside the domain of the classical XL formula, so the API returns a clear invalid_input error instead of inventing a signed reactance.

What XL = 2 π f L means for an ideal inductor

Prefer SI throughout: convert millihenries to henries and kilohertz to hertz before the call so comparisons stay consistent. The check path recomputes two pi f L with the same fixed rounding used for published fields, so a successful response always ships with steps you can assert in tests or worksheets without floating-point ambiguity between the Worker and the browser.

How to call the API and what comes back

Negative inductance is also rejected for this passive inductor model. Prefer sending numbers rather than pre-formatted strings when you control the client; string numbers are accepted only when they match a strict finite numeric pattern including optional scientific notation. Send a JSON body with two required finite numbers: f (aliases frequency, freq, and hz) for signal frequency in hertz, and L (aliases inductance, henry, and henries) for inductance in henries. Absolute values must stay within the published limit of one trillion so intermediate products remain finite in IEEE double precision on the Worker and in the browser. Frequency must be non-negative; any strictly negative f is rejected as invalid_input. On success the response echoes rounded f and frequency, L and inductance, sets XL and inductive_reactance to the same non-negative ohm value, omega and angular_frequency to two pi f in rad/s, formula to the string XL equals two pi f L, equation to a human-readable substitution line, unit_XL to ohm, unit_f to Hz, unit_L to H, unit_omega to rad/s, message to a short English summary, and steps to an ordered array of given values, formula, omega line, substitution, and summary. Failed validation—missing fields, non-numeric strings, non-finite numbers, values outside absolute limits, negative frequency, negative inductance, or a non-finite product—returns invalid_input and is never charged. Pricing is a flat $0.002 per successful request with unit item and zero marginal unit price.

Practical tips, limits, and related searches

When teaching, pair examples: f equals fifty hertz with L equals zero point one henry yields about thirty-one point four one six ohms; doubling f doubles XL; setting f to zero correctly returns XL equals zero; and a negative frequency demonstrates the hard invalid_input path. This landing targets people searching for an inductive reactance calculator, XL equals two pi f L, or inductor ohms from frequency online; it is not a capacitive reactance XC equals one over two pi f C tool, not a series R-L impedance magnitude solver, not a resonant-frequency finder, and not a Q-factor calculator. Failed tasks that return invalid_input do not consume prepaid balance, which keeps exploratory scripts cheap when learners deliberately set frequency negative.