Question

A capacitor has a total charge of 6 µC stored. If it were possible to transfer this charge uniformly through a light with a current of 100 mA, how long would the light stay lit?

Answer 1

A capacitor has a total charge of $6\,\mu\mathrm{C}$ stored. If it were possible to transfer this charge uniformly through a light with a current of $100\,\mathrm{mA}$, how long would the light stay lit?

Solution:

$$(I = \frac{\Delta q}{\Delta t}) \Leftrightarrow (\Delta t = \frac{\Delta q}{I} = \frac{6\,\mu\mathrm{C}}{100\,\mathrm{mA}} = \frac{6 \times 10^{-6}\,\mathrm{C}}{100 \times 10^{-3}} = 6 \times 10^{-5} \, s = 60\,\mu\mathrm{s})$$