Imaginary Number Calculator
Result
Phase (degrees)53.13
Complex Number3 + 4i
Magnitude5.00
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Imaginary Number Calculator — free online calculator.
Formula
Magnitude = √(a² + b²) | Phase = arctan(b/a)
- Imaginary Number Calculator calculates its result from A, B, Arctan B A. It uses the formula Magnitude = √(a² + b²) | Phase = arctan(b/a). Change any input to recalculate the result instantly.
- The main inputs are Real Part, Imaginary Part. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Imaginary Number
Inputs
- Real Part: 3
- Imaginary Part: 4 b
Using A = 2, B = 3, Arctan B A = 12, the calculated result is 12.
Sample result: Calculating…
Frequently asked questions
What does the Imaginary Number calculate?
Imaginary Number Calculator — free online calculator.
Which values should I enter?
Enter Real Part, Imaginary Part using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Magnitude = √(a² + b²) | Phase = arctan(b/a).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.