Just asking....
as Ic=(beta)*Ib thus output current depends upon the input current.....so it should be current controlled current source....
although we can control the input current(Ib for common emitter) and thus it indirectly becomes voltage controlled current source...
please correct if i am wrong !! ;-)
Yes, Ic = β Ib is correct. That is a very useful relationship.
But if you study how a bipolar transistor works, you will find that the collector current is determined by the charge in the base - emitter region.
Since that charge is proportional to the B-E voltage, then it is voltage controlled.
Consider the case where the transistor is used as a switch & is in saturation.
If it were current controlled, then Ic would stop immediately Ib was switched off.
But in fact, there is a delay before Ic drops to zero since the charge has to dissipate.
This is called the storage time.
There are techniques for reducing the storage time which involve discharging the B-E region as quickly as possible.
EDIT.
I have attached a simulation of a Bipolar Transistor characteristic.
It shows Ic versus Vbe. Note that it is an expotential function.