import cmath import math def apparent_power( voltage: float, current: float, voltage_angle: float, current_angle: float ) -> complex: """ Calculate the apparent power in a single-phase AC circuit. Reference: https://en.wikipedia.org/wiki/AC_power#Apparent_power >>> apparent_power(100, 5, 0, 0) (500+0j) >>> apparent_power(100, 5, 90, 0) (3.061616997868383e-14+500j) >>> apparent_power(100, 5, -45, -60) (-129.40952255126027-482.9629131445341j) >>> apparent_power(200, 10, -30, -90) (-999.9999999999998-1732.0508075688776j) """ # Convert angles from degrees to radians voltage_angle_rad = math.radians(voltage_angle) current_angle_rad = math.radians(current_angle) # Convert voltage and current to rectangular form voltage_rect = cmath.rect(voltage, voltage_angle_rad) current_rect = cmath.rect(current, current_angle_rad) # Calculate apparent power return voltage_rect * current_rect if __name__ == "__main__": import doctest doctest.testmod()