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The reason for their wide use in audio electronics especially in volume control owes to the perception of loudness by human ears.
If two sources produce sound, then the human ear will perceive one source twice as loud as the other only if the intensity of sound of one source is ten times the other.
Well to answer this, we need to go back to the heart of the potentiometer, the resistive strip.
One way to achieve log taper is to change the width of the cross section of the resistive strip.
Increasing or decreasing the value of resistance controls the amount of current flowing in a circuit.
The potentiometer is used in various electronics, for example: is used as volume knob in music systems, as fan regulators etc.
A potentiometer is a useful device, because by just simply adjusting it, it can be used to represent a wide range of resistances in a circuit from anywhere near 0Ω to the specified resistance rating of the potentiometer.
So the resistance between the left lug and the centre lug is the resistance of the part of carbon strip over which the metallic wiper has traversed.
Potentiometer has two strips made on it resistive and conductive.