Add eletric field of of a point object algorithm

physics/eletric_field_of_point_object.py

@@ -0,0 +1,107 @@
+"""
+----------------------------------------------------------------------------------------
+An electric field (E) is a physical field that surrounds electrically charged particles.
+In classical electromagnetism, the electric field of a single charge describes their
+capacity to exert attractive or repulsive forces on another charged object.
+
+The electric field is a vector field, which means it has both a magnitude and
+a direction.
+
+The direction of the electric field is the direction of the force that a positive test
+charge would experience if placed in the field.
+
+The magnitude of the electric field of an electrically charged point object is given by
+the formula:
+
+-------------------
+| E = k * Q / r^2 |
+-------------------
+
+k --> Coulomb's constant and is equal to 1/(4π*ε0)
+Q --> charge of the charged object (C)
+r --> distance between the center of the charged object and the electric field
+measurement point (m)
+
+Reference: https://en.wikipedia.org/wiki/Electric_field
+"""
+
+def __check_args(charge: float, distance: float) -> None:
+    """
+    Check that the arguments are valid
+    >>> __check_args(50, -10)
+    Traceback (most recent call last):
+        ...
+    ValueError: The distance is always a positive number.
+    >>> __check_args("50", 10)
+    Traceback (most recent call last):
+        ...
+    TypeError: Invalid charge. Should be an integer or float.
+    >>> __check_args(50, "10")
+    Traceback (most recent call last):
+        ...
+    TypeError: Invalid distance. Should be an integer or float.
+    """
+
+    # Ensure valid instance
+    if not isinstance(charge, (int, float)):
+        raise TypeError("Invalid charge. Should be an integer or float.")
+
+    if not isinstance(distance, (int, float)):
+        raise TypeError("Invalid distance. Should be an integer or float.")
+
+    # Ensure valid distance
+    if distance <= 0:
+        raise ValueError("The distance is always a positive number.")
+
+
+
+def __eletric_field_direction(magnitude_of_the_electric_field: float) -> float:
+    """
+    Determine the direction of the electric field based on the magnitude.
+    >>> __eletric_field_direction(-15)
+    'Since the charge is negative, the electric field is pointing towards the charge.'
+    >>> __eletric_field_direction(20)
+    'Since the charge is positive, the electric field is pointing away from the charge.'
+    >>> __eletric_field_direction(0)
+    'The electric field is zero.'
+    """
+    if magnitude_of_the_electric_field < 0:
+        return "Since the charge is negative, the electric field is pointing towards the charge."
+    elif magnitude_of_the_electric_field > 0:
+        return "Since the charge is positive, the electric field is pointing away from the charge."
+    else:
+        return "The electric field is zero."
+
+
+def electric_field(charge: float, distance: float) -> float:
+    """
+    Calculate the magnitude of the electric field of an electrically charged
+    point object.
+
+    >>> electric_field(20, 15)
+    Since the charge is positive, the electric field is pointing away from the charge.
+    798893492.65
+    >>> electric_field(15, 5)
+    Since the charge is positive, the electric field is pointing away from the charge.
+    5392531075.38
+    >>> electric_field(-20, 15)
+    Since the charge is negative, the electric field is pointing towards the charge.
+    -798893492.65
+    >>> electric_field(0, 1)
+    The electric field is zero.
+    0.0
+    """
+    __check_args(charge, distance)
+
+    coulombs_constant = 8.9875517923e9  # in N·m²/C²
+    mag_eletric_field = (coulombs_constant * charge) / (distance**2)
+
+    print(__eletric_field_direction(mag_eletric_field))
+
+    return round(mag_eletric_field, 2)
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()