I'm trying to convince myself that the circuit below will compensate for temperature-dependent changes in VBE. But I can't seem to figure out what the collector voltage of Q1 is. Even if I assume a base voltage of 0.7V, the base current is still unknown (to me at least) so I can't calculate the drop. Can someone help a poor soul? Edit: Just to be clear; I'm aware of the fact that the "very little" current is flowing in the 10k base resistor, and thus VC ≈ VB. I'm looking for a solution that involves less hand-waving if such a solution exists. Thanks.