Voltage, along with electric pressure, electric tension, and electrical potential difference is measured in units of electric potential. This can be joules per coulomb or volts.
Answer
First of all, there is no such thing as a 'voltage difference'. Voltage is already a 'difference', as it is an alternative name for 'potential difference'! 'Voltage difference', therefore, would mean 'potential difference difference', which makes no sense!
The unit for potential and potential difference (voltage) is the volt, which is equivalent to a coulomb per second.
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Potential (difference) is measured in volts. Difference in height is measured in inches, or cm if you like metric.
A volt is a volt is a volt. It measures potential and is essentially the amount of free electrons ready to flow as current.