The potential difference VVV between two points in a conductor is defined as the work done WWW to move a charge qqq between those points divided by the magnitude of the charge:
V=WqV=\frac{W}{q}V=qW
Given that 14 joules of work is done to move 2 coulombs of charge, the potential difference is:
V=14 J2 C=7 voltsV=\frac{14,\text{J}}{2,\text{C}}=7,\text{volts}V=2C14J=7volts
So, the potential difference between the two points is 7 volts
. This means that each coulomb of charge gains or loses 7 joules of energy when moved between these points. Potential difference is measured in volts (V), where 1 volt equals 1 joule per coulomb of charge
