Given the following circuit:
How do I solve it for base, collector, and emitter voltages (VB, VC, VE)? Assuming the BJT is in active mode and the base-emitter voltage (VBE) is 0.7 V.
Assume the BJT is in active mode- start by ignoring the base current since transistor gain is high in active mode. You can check that assumption later, but since beta is not given you can typically safely assume it doesn't play into this homework problem.
Find Vb from the 10V and 60K/40K resistors. You then know Vb- Ve is related by Vbe.
Then find the emitter current. Since we're ignoring base current, we can then easily determine the collector current and thus collector voltage.
In a real case, the base loads the voltage divider a bit (maybe by 1/200 or 1/300 of the emitter current) so the emitter voltage might be 5-10% less, and the collector voltage a bit higher.