Billions In The Blink Of An Eye

A 60-Watt light bulb is connected to a 120 V outlet. How long in seconds does it take for 1 billion ($10^{9}$) electrons to pass through the light bulb?

Details and assumptions

• The charge of the electron is $e=1.6\times 10^{-19}~\mbox{C}$.
• You may consider the voltage as a constant voltage source. The time you will find is short enough that the fact that wall outlets generally deliver alternating voltages can be ignored.