100 J of work is done when a charge of \( 2\,\mu\mathrm{C} \) is moved in an electric field between two points. What is the potential difference between the two points?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \( 5\times10^{7}\,\mathrm{V} \)
The potential difference between two points is the work done per unit charge in moving a charge from one point to the other, \( V=W/q \). Here \( q=2\,\mu\mathrm{C}=2\times10^{-6}\,\mathrm{C} \).
\( \begin{aligned} V &= \frac{W}{q} \\ &= \frac{100\,\mathrm{J}}{2\times10^{-6}\,\mathrm{C}} \\ &= 5\times10^{7}\,\mathrm{V} \end{aligned} \)