a$)$ An NPN transistor having Is$=$A and $=100$ is connected as follows: the emitter is grounded, the base is fed with a constant$-$current source supplying a dc current of $10,$ and the collector is connected to a $5$ V dc supply via a resistance RC of $3$ kOhm.

$1)$ Assuming that the transistor is operating in the active mode, find VBE and VCE. Use these values to verify active$-$mode operation.$(5$ marks$)$