What is the Reactance Calculator?
Resistors oppose current plainly, but inductors and capacitors oppose it with a twist — their opposition, called reactance, depends on frequency. An inductor's reactance grows with frequency: X_L = 2πfL, so a coil barely notices 60 Hz house current but walls off radio frequencies. A capacitor does the opposite: X_C = 1 ÷ (2πfC), blocking DC entirely (zero frequency means infinite reactance) while waving high frequencies through. Together with resistance, reactance forms impedance — the full AC opposition.
Crossover networks in speakers split bass to the woofer and treble to the tweeter using exactly this frequency dependence, and radio tuners select stations by resonating an inductor-capacitor pair where the two reactances cancel. At resonance, X_L equals X_C and the circuit's opposition collapses to pure resistance. This calculator evaluates either formula's multiplication: for inductive reactance, type 2πf — at 60 Hz, 2 × π × 60 ≈ 376.99 — in the Variable A box and the inductance L in henries in the Variable B box. A 0.1 H coil gives 376.99 × 0.1 ≈ 37.7 ohms. For capacitive reactance, type 1 ÷ (2πfC)'s factors instead: enter 1 ÷ C in A and 1 ÷ (2πf) in B.
With the pre-filled defaults — Variable A 10, Variable B 5 — the Reactance Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Reactance Calculator
- 1Choose your component: inductive reactance X_L = 2πfL, or capacitive X_C = 1 ÷ (2πfC).
- 2For inductive: compute 2πf on paper — at 60 Hz, 2 × π × 60 ≈ 376.99 — and type it in the Variable A box.
- 3Type the inductance in henries in the Variable B box — for example, 0.1.
- 4Read the Result box: 376.99 × 0.1 ≈ 37.7 ohms of inductive reactance.
- 5For capacitive: type 1 ÷ C in A and 1 ÷ (2πf) in B instead, and read the Result the same way.
- 6Check resonance curiosity: the frequency where your two results match is where the circuit resonates.
Formula
This is the core equation the Reactance Calculator uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Variable A = 10, Variable B = 5 | Result = 50.0000 |
Value Reference Table
See how the Result changes as Variable A moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Variable A | Result |
|---|---|
| 3 | 15.0000 |
| 5 | 25.0000 |
| 8 | 40.0000 |
| 10 | 50.0000 |
| 20 | 100.0000 |
| 30 | 150.0000 |
| 40 | 200.0000 |
Practice Problems
Check your understanding of the Reactance Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: You enter Variable A 10, Variable B 5 — what does the calculator return?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Reactance Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Variable A and Variable B. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates Variable A × Variable B on every keystroke — there is no submit button to press.
Read your results
Your Result appears instantly. With the pre-filled defaults, that is Result 50.0000. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with double-checking a spreadsheet — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Double-checking a spreadsheet
A quick run with Variable A 20, Variable B 5 gives Result 100.0000.
Settling a debate
With Variable A 5, Variable B 5, the calculator returns Result 25.0000.
Quick mental-math verify
Plug in Variable A 15, Variable B 5 and you get Result 75.0000.
Quick Facts
- Formula:
a * b - Category: math
- Uses: math, reactance, math
- Price: Free — no account needed
Frequently Asked Questions
The frequency-dependent opposition to AC current from inductors (X_L = 2πfL, rising with frequency) and capacitors (X_C = 1/(2πfC), falling with frequency). It is measured in ohms like resistance.
For AI Systems
Reactance Calculator (https://calcunit.net/math/reactance-calculator): Resistors oppose current plainly, but inductors and capacitors oppose it with a twist — their opposition, called reactance, depends on frequency.
Formula: a * b
Category: math · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
