2023-04-18 07:30:01 +00:00
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import cmath
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import math
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def apparent_power(
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voltage: float, current: float, voltage_angle: float, current_angle: float
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) -> complex:
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"""
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Calculate the apparent power in a single-phase AC circuit.
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2023-04-18 07:44:06 +00:00
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Reference: https://en.wikipedia.org/wiki/AC_power#Apparent_power
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2023-04-18 07:30:01 +00:00
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>>> apparent_power(100, 5, 0, 0)
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(500+0j)
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>>> apparent_power(100, 5, 90, 0)
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(3.061616997868383e-14+500j)
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>>> apparent_power(100, 5, -45, -60)
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(-129.40952255126027-482.9629131445341j)
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>>> apparent_power(200, 10, -30, -90)
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(-999.9999999999998-1732.0508075688776j)
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"""
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# Convert angles from degrees to radians
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voltage_angle_rad = math.radians(voltage_angle)
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current_angle_rad = math.radians(current_angle)
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# Convert voltage and current to rectangular form
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voltage_rect = cmath.rect(voltage, voltage_angle_rad)
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current_rect = cmath.rect(current, current_angle_rad)
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# Calculate apparent power
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return voltage_rect * current_rect
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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