Question

When you walk across a carpet during the winter you often get a shock when you touch a metal door knob. The reason is that you pick up electrons via friction between your feet and the carpet. If you pick up -97.37 microC of charge, how many electrons did you acquire ?

Answer 1

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The total charge can be written as

$Q=-97.37*10^{-6}C$

And the charge of an individual electron is

$q=-1.6*10^{-19}C$

Thus, the number of electrons is the total charge acquired, divided by the amount of charge on each individual electron. This gives us:

$n=\frac{Q}{q}=\frac{-97.37*10^{-6}}{-1.6*10^{-19}}=6.085625*10^{14}$

So, we have acquired 6.085625*10^14 electrons