I Number
Result
Complex Number (a+bi)3+4i
Magnitude |z|5.0000
Angle (θ, degrees)53.13°
Polar Form (r∠θ)5.0000∠53.13°
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I Number — free online calculator.
Formula
Complex Number z = a + bi; |z| = √(a² + b²); θ = atan2(b, a)
- I Number calculates its result from A, Bi, Sqrt, Atan2. It uses the formula Complex Number z = a + bi; |z| = √(a² + b²); θ = atan2(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: I Number
Inputs
- Real Part: 3
- Imaginary Part: 4 coefficient of i
Using A = 2, Bi = 3, Sqrt = 4, Atan2 = 5, the calculated result is 5.
Sample result: Calculating…
Frequently asked questions
What does the I Number calculate?
I Number — 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: Complex Number z = a + bi; |z| = √(a² + b²); θ = atan2(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.