units = [A, V, ohm, S, F, H, C, T, Wb]
all_units = [] # type: List[Quantity]
for u in units:
all_units.extend(prefix_unit(u, PREFIXES))
all_units.extend([Z0])
dimsys_MKSA = dimsys_length_weight_time.extend(
[
# Dimensional dependencies for base dimensions (MKSA not in MKS)
current,
],
new_dim_deps=dict(
# Dimensional dependencies for derived dimensions
voltage=dict(mass=1, length=2, current=-1, time=-3),
impedance=dict(mass=1, length=2, current=-2, time=-3),
conductance=dict(mass=-1, length=-2, current=2, time=3),
capacitance=dict(mass=-1, length=-2, current=2, time=4),
inductance=dict(mass=1, length=2, current=-2, time=-2),
charge=dict(current=1, time=1),
magnetic_density=dict(mass=1, current=-1, time=-2),
magnetic_flux=dict(length=2, mass=1, current=-1, time=-2),
))
MKSA = MKS.extend(base=(A, ),
units=all_units,
name='MKSA',
dimension_system=dimsys_MKSA)
"""
MKS unit system.
MKS stands for "meter, kilogram, second, ampere".
"""
from __future__ import division
from sympy.physics.units.definitions import Z0, A, C, F, H, S, T, V, Wb, ohm
from sympy.physics.units.dimensions import (
capacitance, charge, conductance, current, impedance, inductance,
magnetic_density, magnetic_flux, voltage)
from sympy.physics.units.prefixes import PREFIXES, prefix_unit
from sympy.physics.units.systems.mks import MKS, _mks_dim
dims = (voltage, impedance, conductance, capacitance, inductance, charge,
magnetic_density, magnetic_flux)
# dimension system
_mksa_dim = _mks_dim.extend(base=(current,), dims=dims, name='MKSA')
units = [A, V, ohm, S, F, H, C, T, Wb]
all_units = []
for u in units:
all_units.extend(prefix_unit(u, PREFIXES))
all_units.extend([Z0])
MKSA = MKS.extend(base=(A,), units=all_units, name='MKSA')
all_units.extend(units)
all_units.append(Z0)
dimsys_MKSA = dimsys_length_weight_time.extend([
# Dimensional dependencies for base dimensions (MKSA not in MKS)
current,
], new_dim_deps=dict(
# Dimensional dependencies for derived dimensions
voltage=dict(mass=1, length=2, current=-1, time=-3),
impedance=dict(mass=1, length=2, current=-2, time=-3),
conductance=dict(mass=-1, length=-2, current=2, time=3),
capacitance=dict(mass=-1, length=-2, current=2, time=4),
inductance=dict(mass=1, length=2, current=-2, time=-2),
charge=dict(current=1, time=1),
magnetic_density=dict(mass=1, current=-1, time=-2),
magnetic_flux=dict(length=2, mass=1, current=-1, time=-2),
))
MKSA = MKS.extend(base=(ampere,), units=all_units, name='MKSA', dimension_system=dimsys_MKSA, derived_units={
magnetic_flux: weber,
impedance: ohm,
current: ampere,
voltage: volt,
inductance: henry,
conductance: siemens,
magnetic_density: tesla,
charge: coulomb,
capacitance: farad,
})