What is the relationship between base resistance and beta??

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Hi, all

What is the relationship between base resistance and beta in BJT??

I want to know the reason.

Thanks in advance.
 

r_pi=Beta/gm

The reason?
r_pi=v_pi/i_b
i_c=Beta * i_b
i_c=gm * v_pi

...and so on
 

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