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Theveninization of a transistor circuit

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Find Icq and Vceq for the circuit when Beta=100.

I put the 60k and 30 k resisters in parallel and then did a thevenin equivalence on the parallel combination resistance and the 20k ohm resistor. Then, I did kvl around the b-e loop and got icq=.021ma and vce=.39v. Did I do the thevinin equivalence correctly?

See the attached file.

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The solution is given in a step-by-step equational process with an approximately 100 word explanation.

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To get the thevenin equivalent of everything connected to the base of the transistor, find the voltage looking back towards the base node. That's the thevenin voltage Vt. Then, find the resistance looking back, with all voltage sources short-circuited (ie. connected to ground).

First, find Vt:

Ok, to find the ...

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