Results

Bulb

The voltage from the collector to the emitter in the BJT's off state is the full value of the voltage put on the collector as the BJT will act as a short in this case, as well when current is applied to the base the BJT will have minimal voltage across it as it acts as an open. It can be seen from the graphs of Ic and Ib that as current is applied to the base of the BJT the current coming from the collector is much larger and will grow to some max value.

Constant Current Source

Since there is a constant current on the base pin of the transistor the collector current remains constant and variable resistance will be negligible as long as there is sufficient voltage at the source. When evaluating \(\beta\) the following equation was used
which resolved as.