Question

The current in an electric hair dryer is $10.0\mathrm{A}$. How many electrons flow through the hair dryer in $5.0$min?

Short answer

The number of electrons flows through the hairdryer in$5.0min$is$1.875\times {10}^{22}.$

Step-by-step solution

Given Information

Current$=10.0A$

Time$=5.0min$

Explanation

The number of charges is connected to the total charge,

$Q=Ne\Rightarrow N=\frac{Q}{e}$

By the definition of intensity, express the charge passed at a given time as a function of the intensity as

$I:=\frac{Q}{t}\Rightarrow Q=It$

In combining, we have

$N=\frac{It}{e}$

Substitute the values,

role="math" $N=\left(\frac{10A\times 5s\times 60s}{1.6\times {10}^{-19}C}\right)$

role="math" localid="1648897689414" $=1.875·{10}^{22}$

Final Answer

Hence, the number of electrons flows through the hairdryer in$5min$is$1.875·{10}^{22}.$