sqrt(Re(z)**2 + Im(z)**2)
for z = a + ib this becomes:
sqrt(a*a + b*b)
It's just the euclidean norm. You have to sum the square of real part and imaginary part (without the i) and do the sqrt of it.

https://www.varsitytutors.com/hotmath/hotmath_help/topics/absolute-value-complex-number
Answer from Lukr on Stack OverflowGeeksforGeeks
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Finding Magnitude of a Complex Number in Python - GeeksforGeeks
July 23, 2025 - The abs() function returns the absolute value of a number, and for complex numbers, it calculates the magnitude.
Top answer 1 of 4
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sqrt(Re(z)**2 + Im(z)**2)
for z = a + ib this becomes:
sqrt(a*a + b*b)
It's just the euclidean norm. You have to sum the square of real part and imaginary part (without the i) and do the sqrt of it.

https://www.varsitytutors.com/hotmath/hotmath_help/topics/absolute-value-complex-number
2 of 4
12
np.abs gives magnitude of complex number i.e. sqrt(a^2 + b^2) in your case it's sqrt(8).
https://numpy.org/doc/stable/reference/generated/numpy.absolute.html
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Using the abs() function, we get the output, 5.0, which is the magnitude of the complex number. And this is the majority of the functions that you will have to deal with regarding complex numbers in Python.
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Python abs() Function with examples
When a complex number is passed as an argument to abs() function, it returns the magnitude of the complex number.
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Complex Numbers in Python โ Define, Perform Basic Operations, and Convert Polar Form to Rectangular and Vice-Versa โ Fusion of Engineering, Control, Coding, Machine Learning, and Science
To calculate the magnitude or the radius of the complex number, we can use the Python function โabs()โ. In the case of a complex number, this function will return the magnitude of the complex number
Pythontutorials
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Understanding the Numpy Magnitude of Complex Numbers | PythonTutorials.net
June 21, 2025 - The magnitude of a complex number (z = a + bj) is defined as (sqrt{a^{2}+b^{2}}), where (a) is the real part and (b) is the imaginary part. numpy provides straightforward and efficient ways to compute the magnitude of complex numbers, which we will explore in this blog.
Spark Code Hub
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Mastering Python Complex Numbers: A Comprehensive Guide for Beginners
import cmath import math def ... (series circuit): Z = Z_R + Z_L + Z_C total_impedance = Z_R + Z_L + Z_C # Magnitude and phase magnitude = abs(total_impedance) phase = cmath.phase(total_impedance) * 180 / math.pi # Convert to degrees return total_impedance, magnitude, ...
Educative
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How to calculate an absolute value in Python
The abs() function in Python returns the absolute value of the given argument. This argument can be an int, a float, or a complex number. In case of complex numbers, abs() function returns the magnitude part only.
Luis Llamas
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Complex Numbers in Python
November 20, 2024 - Python also provides functions and methods for working with complex numbers, such as the conjugate (conjugate()), magnitude (abs()), and argument (phase()):
LearnDataSci
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Python Absolute Value โ abs() for real and complex numbers โ LearnDataSci
The following code shows how you can create a complex number in Python and then apply the abs() function to get its magnitude:
CodeRivers
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Working with Complex Numbers in Python - CodeRivers
April 20, 2025 - Python's cmath module provides a set of mathematical functions for complex numbers. For example: - Calculating the magnitude (absolute value): abs()