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I=vnqA
If what you're asking refers to the average speed at which a charged particle, such as an electron, travels down a conductor when a voltage is applied you can use the formula above, where I is the current, v is the average velocity of the charged particle, n is the number of those particles per square metre of the conductor, q is the charge of the particle and A is the cross-sectional area of the conductor.
Of course I=V/R
Where V is the voltage and R is the resistance of the circuit.
So a direct relationship would look like
V/R=vnqA
V=RvnqA
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