DIMENSIONAL ANALYSIS EQUATION CALCULATOR
Too many times losing time with dimension calculations ? I found a cheap way to solve the huge amount of System International physical values such as kilogram, meter, ampere, second.
Below a simple code to be inserted in Mathematica. Below I added an example for the demo.
V = kg*m^2*s^-3*A^-1; (*Voltage in V*)
R = kg*m^2*s^-3*A^-2; (*Resistance in ohm*)
L = kg*m^2*s^-2*A^-2; (*Inductance in henry*)
Ca = kg^-1*m^-2*s^4*A^2;(*Capacitance in faraday*)
Nw = kg*m*s^-2; (*Force in newton*)
Joule = kg*m^2*s^-2; (*Energy in joule*)
Po = kg*m^2*s^-3; (*Power in watt*)
M = kg*m*s^-1; (*Momentum*)
B = kg*s^-2*A^-1; (*Magnetic induction in tesla*)
Ef = kg*m*s^-3*A^-1; (*Electric field*)
Pr = kg*m^-1*s^-2; (*Pressure in pa*)
Mu = kg*m*s^-2*A^-2; (*Vacum permeability*)
Er = kg^-1*m^-3*s^4*A^2;(*Vacum permittivity*)
h = kg*m^2*s^-1; (*Planck constant*)
k = kg*m^2*s^-2*K^-1; (*Boltzmann constant*)
Gravi = kg^-1*m^3*s^-2; (*Gravitat. cst*)
Speed = m*s^-1; (*any speeds: light, sound, etc*)
Coulomb = s*A; (*charges in Coulomb*)
eV = Joule;
Example with the current density J and terms on the right of equal sign:
As a result we exactly obtain the current density dimension
