 # Python Program to Find Magnitude of a Complex Number

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Using a simple snippet, we can calculate the Magnitude of a Complex Number in Python.
Let us begin by learning the fundamentals of complex numbers in Python.
First, let’s look at how to initialize or declare a complex number in Python.

Complex Number:
By setting a variable to a + bi, we can generate a complex number. In this case, a and b are real numbers.

4+11i

In the above example, the real part(a) is 4 and the imaginary part(b) is 11.
The complex([real][,imaginary]) method can also be used to generate a complex number. Its parameters are the real and imaginary parts, respectively.
If a parameter is not specified, the complex number’s corresponding portion is set to the default value. The default setting is 0.

Example:

cmplxnumber = complex(9,2)

In this application, we will utilize the abs() function to determine the magnitude of a complex number. The method abs() only accepts one argument.
The following is an example of an argument:
1. The Float Number
2. Complex Number
3. Integer
If the number is an integer or a floating-point, abs(number) returns

1. Modulus of the number.
2. The magnitude of the number if it is complex.

Examples:

Example1:

Input:

Given real part = 12
Given imaginary part = 16

Output:

The magnitude of the complex number (12+16j) = 20.0

Example2:

Input:

Given real part = 11
Given imaginary part = 47

Output:

The magnitude of the complex number (11+47j) = 48.27007354458868

## Python Program to Find Magnitude of a Complex Number

Below are the ways to find the magnitude of a complex number in Python.

### Method #1: Using abs Function (Static Input)

Approach:

• Give the real part and imaginary part of the complex number as static input and store it in two variables.
• Using a complex() function convert those two variables into a complex number.
• Calculate the magnitude of the complex number using the abs() function.
• Print the magnitude of the complex number.
• The Exit of the program.

Below is the implementation:

# Give the real part and imaginary part of the complex number
# as static input and store it in two variables.
realnumb = 12
imaginarynumb = 16
# Using a complex() function convert those two variables into a complex number.
complexnumb = complex(realnumb, imaginarynumb)
# Calculate the magnitude of the complex number using the abs() function.
magcomplex = abs(complexnumb)
# Print the magnitude of the complex number.
print('The magnitude of the complex number', complexnumb, '=', magcomplex)


Output:

The magnitude of the complex number (12+16j) = 20.0

### Method #2: Using abs Function (User Input)

Approach:

• Give the real part and imaginary part of the complex number as user input using map(), int(), split().
• Store it in two variables.
• Using a complex() function convert those two variables into a complex number.
• Calculate the magnitude of the complex number using the abs() function.
• Print the magnitude of the complex number.
• The Exit of the program.

Below is the implementation:

# Give the real part and imaginary part of the complex number as user input
# using map(), int(), split().
# Store it in two variables.
realnumb, imaginarynumb = map(int, input(
'Enter real part and complex part of the complex number = ').split())
# Using a complex() function convert those two variables into a complex number.
complexnumb = complex(realnumb, imaginarynumb)
# Calculate the magnitude of the complex number using the abs() function.
magcomplex = abs(complexnumb)
# Print the magnitude of the complex number.
print('The magnitude of the complex number', complexnumb, '=', magcomplex)


Output:

Enter real part and complex part of the complex number = 11 47
The magnitude of the complex number (11+47j) = 48.27007354458868

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