The speed with which the charge drifts in a conductor is called the velocity of charge. This velocity is quite low, typically a fraction of a meter per second!
Velocity of field propagation:
Velocity of electric field propagation is the speed with which the effect of e.m.f. is experienced at all parts of the conductor resulting in the flow of current. This velocity is independent of current and voltage and has high but constant value of nearly 3*108 m/s, which is the speed of light in vacuum!
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