What is the meaning and definition of magnitude?

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Fret2

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Hello. There is a formula for calculating the diode current taking into account the volumetric resistance of the base of the diode rb:
I=Io*e^(β*(U-rb)-1)

What does the value of β mean? What is its meaning and definition? I only know that this value is measured in 1/volt.
 

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U is the voltage (potential) and rb is the resistance. Therefore U-rb is meaningless (two items must have the same dimension so that they can be subtracted).

In an exponential function (exp(some quantity)), the exponent must be dimensionless. Hence beta must have dimension of 1/potential.

What is the source of the equation? Where did you see it?
 

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