Below shows a bipolar transistor in fixed current bias configuration. A text says that this topology is independent of β:
What I understand is, since Vcc, Vbe and Rb is constant the base current becomes fixed as:
Ib = (Vcc-Vbe) / Rb
As we see in the above formula since all three variables Vcc Vbe and Rb are constant, Ib is constant and so fixed.
My confusion is the following:
Imagine if we now change the transistor with the same type but with a different β, will the Ic change?
Thought 1: I'm asking because I guess we can say that after the transistor is changed the Vbe will not change(?). And according to the Ebers Moll equation the Ic will not change since Vbe will not change.(Ic is determined by Vbe)
Thought 2: But if we think again after changing the same type transistor with different β which means Vbe will not change and so that means Ib is fixed at the same value as well. But now the new transistor has a different β and Ic = β × Ib. So this tells us that Ic will change.
Which thought above is correct and where am I making the logical flaw?