Answer :
The difference in electric potential energy between the two points is
[tex]\Delta U = q \Delta V[/tex]
where q is the magnitude of the charge and [tex]\Delta V[/tex] is the electric potential difference.
But for energy conservation, the difference in electric potential energy [tex]\Delta U[/tex] between the two points is equal to the work done to move the charge between A and B:
[tex]W=\Delta U[/tex]
so we have
[tex]W=q \Delta V[/tex]
and by substituting the numbers of the problem, we find the value of [tex]\Delta V[/tex]:
[tex]\Delta V = \frac{W}{q}= \frac{0.90 J}{0.45 C}=2 V [/tex]
[tex]\Delta U = q \Delta V[/tex]
where q is the magnitude of the charge and [tex]\Delta V[/tex] is the electric potential difference.
But for energy conservation, the difference in electric potential energy [tex]\Delta U[/tex] between the two points is equal to the work done to move the charge between A and B:
[tex]W=\Delta U[/tex]
so we have
[tex]W=q \Delta V[/tex]
and by substituting the numbers of the problem, we find the value of [tex]\Delta V[/tex]:
[tex]\Delta V = \frac{W}{q}= \frac{0.90 J}{0.45 C}=2 V [/tex]