a + bi Form Calculator
Result
a + bi Form Calculator This a + bi form calculator works with a complex number written in rectangular form, a + bi, where a is the real part and b is the imaginary part. Enter a and b and it returns the number's magnitude (modulus) √(a² + b²) and its phas — free online calculator.
Formula
- a + bi Form Calculator calculates its result from Sqrt, Atan2. It uses the formula Magnitude = √(a² + b²), Phase = atan2(b, a). Change any input to recalculate the result instantly.
- The main inputs are Sqrt, Atan2. 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: a + bi Form
- Sqrt: 2
- Atan2: 3
Using Sqrt = 2, Atan2 = 3, the calculated result is 3.
Sample result: Calculating…
Frequently asked questions
What does the a + bi Form calculate?
a + bi Form Calculator This a + bi form calculator works with a complex number written in rectangular form, a + bi, where a is the real part and b is the imaginary part. Enter a and b and it returns the number's magnitude (modulus) √(a² + b²) and its phas — free online calculator.
Which values should I enter?
Enter Sqrt, Atan2 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 = 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.