55 lines
2.0 KiB
Python
55 lines
2.0 KiB
Python
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"""
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MKS unit system.
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MKS stands for "meter, kilogram, second, ampere".
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"""
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from __future__ import annotations
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from sympy.physics.units.definitions import Z0, ampere, coulomb, farad, henry, siemens, tesla, volt, weber, ohm
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from sympy.physics.units.definitions.dimension_definitions import (
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capacitance, charge, conductance, current, impedance, inductance,
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magnetic_density, magnetic_flux, voltage)
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from sympy.physics.units.prefixes import PREFIXES, prefix_unit
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from sympy.physics.units.systems.mks import MKS, dimsys_length_weight_time
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from sympy.physics.units.quantities import Quantity
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dims = (voltage, impedance, conductance, current, capacitance, inductance, charge,
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magnetic_density, magnetic_flux)
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units = [ampere, volt, ohm, siemens, farad, henry, coulomb, tesla, weber]
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all_units: list[Quantity] = []
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for u in units:
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all_units.extend(prefix_unit(u, PREFIXES))
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all_units.extend(units)
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all_units.append(Z0)
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dimsys_MKSA = dimsys_length_weight_time.extend([
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# Dimensional dependencies for base dimensions (MKSA not in MKS)
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current,
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], new_dim_deps={
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# Dimensional dependencies for derived dimensions
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"voltage": {"mass": 1, "length": 2, "current": -1, "time": -3},
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"impedance": {"mass": 1, "length": 2, "current": -2, "time": -3},
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"conductance": {"mass": -1, "length": -2, "current": 2, "time": 3},
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"capacitance": {"mass": -1, "length": -2, "current": 2, "time": 4},
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"inductance": {"mass": 1, "length": 2, "current": -2, "time": -2},
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"charge": {"current": 1, "time": 1},
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"magnetic_density": {"mass": 1, "current": -1, "time": -2},
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"magnetic_flux": {"length": 2, "mass": 1, "current": -1, "time": -2},
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})
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MKSA = MKS.extend(base=(ampere,), units=all_units, name='MKSA', dimension_system=dimsys_MKSA, derived_units={
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magnetic_flux: weber,
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impedance: ohm,
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current: ampere,
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voltage: volt,
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inductance: henry,
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conductance: siemens,
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magnetic_density: tesla,
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charge: coulomb,
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capacitance: farad,
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})
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