Question

What is the electric potential at a point in space if a charge of 7.3 × 10-17 coulombs at that point has a potential energy of 6.4 × 10-17 joules?

0.64 volts

0.73 volts

0.88 volts

0.91 volts

Answer 1

Note: The unit adopted in SI for electric potential is volt (V), in homage to the Italian physicist Alessandro Volta, and the unit designates Joule by coulomb (J / C).

Data:
V (volts or J/C) = ?
Ep (potential energy) =
`6.4 * 10^(-17) joules`
q (charge) =
`7.3 * 10^(-17) coulombs`

Formula:

`V = (Ep)/(q)`

Solving:

`V = (Ep)/(q)`

`V = (6.4 * 10^(-17)\:J)/(7.3 * 10^(-17)\:C)`

`V = 0.8767...\to \boxed{\boxed{V \approx 0.88\:J/C\:or\:Volts}}\end{array}}\qquad\quad\checkmark`