what is the basic purpose of base of a transistor?will the transistor still work if the base is absent?

Question

the transistor is ideal

Answer 1

A bipolar transistor is not a transistor without a base. The base creates the emitter current through the emitter-base potential drop. Since this is a forward-biased junction, a small potential can create a large current. The current does not go out the base connection but passes through the base region to the collector,

A transistor without a base is just a diode.