Create magnetic_flux.py

Add magnetic_flux.py

Author: ViniViniAntunes

physics/magnetic_flux.py

@@ -0,0 +1,87 @@
+"""
+Magnetic flux (Φ) is a scalar quantity that measures the number of magnetic field lines (B)
+that pass through a closed area (A). Furthermore, the magnetic flux depends on the angle
+formed between the magnetic field and the normal line (N) in area A. Check out the formula
+used to calculate this flux:
+ ------------
+ | Φ = B.A.cos(θ) |
+ ------------
+
+Φ = magnetic flux (weber (Wb) or tesla square meter (T.m²))
+B = magnetic field (tesla (T))
+A = area (square meter (m²))
+θ = angle between magnetic field and normal line (degrees (°))
+
+(Description adapted from https://en.wikipedia.org/wiki/Ideal_gas_law )
+"""
+
+from math import cos, radians as deg_to_rad
+
+
+def check_args(
+        magnetic_field: float,
+        area: float,
+        angle: float
+) -> None:
+    """
+    Check that the arguments are valid
+    """
+
+    # Ensure valid instance
+    if not isinstance(magnetic_field, (int, float)):
+        raise TypeError("Invalid magnetic field. Should be an integer or float.")
+
+    if not isinstance(area, (int, float)):
+        raise TypeError("Invalid area. Should be an integer or float.")
+
+    if not isinstance(angle, (int, float)):
+        raise TypeError("Invalid angle. Should be an integer or float.")
+    
+    # Ensure valid angle
+    if angle < 0 or angle > 180:
+        raise ValueError("Invalid angle. Range is 0-180 degrees.")
+    
+    # Ensure valid magnetic field
+    if magnetic_field < 0:
+        raise ValueError("Invalid magnetic field. Should be a positive number.")
+
+    # Ensure valid area
+    if area < 0:
+        raise ValueError("Invalid area. Should be a positive number.")
+
+
+def magnetic_flux(
+        magnetic_field: float,
+        area: float,
+        angle: float
+) -> float:
+    """
+    >>> magnetic_flux(50.0, 2, 0.0)
+    250.0
+    >>> magnetic_flux(1.5, 3.0, 60.0)
+    2.25
+    >>> magnetic_flux(1.5, 3.0, -60.0)
+    2.25
+    >>> magnetic_flux(0.5, 4.0, 90.0)
+    0.0
+    >>> magnetic_flux(1, 2.0, 180.0)
+    -2.0
+    >>> magnetic_flux(-1.0, 2.0, 30.0)
+    Traceback (most recent call last):
+    ... ValueError: Invalid magnetic field. Should be a positive number.
+    >>> magnetic_flux(1.0, 'a', 30.0)
+    Traceback (most recent call last):
+    ... TypeError: Invalid area. Should be an integer or float.
+    >>> magnetic_flux(1.0, -2.0, 30.0)
+    Traceback (most recent call last):
+    ... ValueError: Invalid area. Should be a positive number.
+    """
+    check_args(magnetic_field, area, angle)
+    radians = deg_to_rad(angle)
+    return magnetic_field * area * cos(radians)
+
+
+if __name__ == "__main__":
+    from doctest import testmod
+
+    testmod()