Transistor=Transfer+Resistor.
When Transistor operates in active region its input resistance is high and output resistance is low.
So,We can consider transistor as a device which transfers its resistance from high to low.
And by this property transistor amplifies input signal.
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connect the base of the transistor to a variable resistor and to a normal resistor
I believe that is resistor transistor technology TTL transistor transistor logic
RTL logic: NPN transistor. Emitter grounded. Input connected to base through a resistor. Vcc also connected to base through a resistor. If the input is high or open, the transistor is on. If the input is low, the transistor is off. Connect a resistor from Vcc to the collector. The collector is the ouput. You have to play around with resistor values to setup your fan-in and fan-out properties.
The emitter resistor in a common emitter configuration provides negative feedback to the transistor, reducing both its voltage gain and distortion.
Resistor placed in the emitter lead of a transistor circuit to minimize the effects of temperature on the emitter-base junction resistance.