matching simulation with bias conditions

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Hello,for Bjt to be in working state. we need to V_B>V_E and V_C>V_B
How do i know the saturation current of 1.3A from mathematical point of view using the data sheet.
I know that the formula is as shown bellow.
the datasheet is as shown bellow:

2N2222 PDF

Part #: 2N2222. Description: NPN Small Signal General Purpose Amplifiers. File Size: 378.47 Kbytes. Manufacturer: Fairchild Semiconductor.
pdf1.alldatasheet.com
the spice model is as shown bellow,Where can i see the formula parameters at the spice model description?
Thanks.




 

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\[\frac{A_{E}qD_{n}n_{i}^2}{N_{B}W_{B}}\] is called as \[ I_{s} \] (Saturation Current and you will never know this Manufacturer Parameters.That's why you should use given upper level circuit parameters
 

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SPICE uses Gummel-Poon model. Refer to LTspice help for bipolar transistor model and literature, e.g. https://en.wikipedia.org/wiki/Gummel–Poon_model

You are operating the small signal transistor far beyond it's maximum ratings, unlikely that the simulation result matches real component behavior.
 

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