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BJT stands for Bipolar Junction Transistor. It is a three-terminal electronic device constructed of doped semiconductor material and may be used in amplifying or switching applications.
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vote
Solving a BJT circuit for transistor voltages/currents
You're missing some of the key equations related to the BJT, try combining these:
Equations for each Vcc to GND branches:
Vcc - I1*R1 - I2*R2 - Ib = 0 (account for I1 splitting off into base current …