Question

The current in an electric hair dryer is 10
a. how much charge and how many electrons flow through the hair dryer in 5.0 min

Answer 1

First let's convert the time in seconds:
$\Delta t= 5 min= 5 min \cdot (60 s/min)= 300 s$

The current is defined as the quantity of charge flowing through a certain section of a circuit per unit of time:
$I= \frac{Q}{\Delta t}$
Using I=10 A, and $\Delta t=300 s$, we can find the amount of charge flown through the hair dryer in this time:
$Q=I \Delta t=(10 A)(300 s)=3000 C$

The charge of a single electron is $q=1.6 \cdot 10^{-19} C$, so the number of electrons flown through the hair dryer is the total charge divided by the charge of a single electron:
$N= \frac{Q}{q}= \frac{3000 C}{1.6 \cdot 10^{-19} C} =1.88 \cdot 10^{22}$

Answer 2

Electrons are tiny particles that reside within a substance's molecular structure. The amount of charge is 3000 coulomb. While electrons flow through the hairdryer in 5.0 min will be 1.88×10²².

What is said to be electric current?

The pace at which electrons travel through a conductor is known as electric current. The ampere is the SI unit for electric current. Electrons are tiny particles that reside within a substance's molecular structure.

The given data in the problem is;

I is the value of current in an electric hair dryer = 10 A

q is the charge of the single electron = 1.6×10⁻¹⁹ C

t is the time interval of the flow of charge=5.0min=300 sec

Q is the value of charge =?

N is the electrons flowing through the hairdryer in 5.0 min=?

From the definition mathematically electric current is given as;

$\rm I=\frac{Q}{t} \\\\ \rm Q=It \\\\ \rm Q=10 \times 300 \\\\ \rm Q=3000\ Coloumb$

Hence the amount of charge will be 3000 coulombs.

The total charge divided by the charge of a single electron equals the number of electrons flying through the hairdryer;

$\rm N=\frac{Q}{q} \\\\ \rm \rm N=\frac{3000}{1.6\times 10^{-19}}\\\\ \rm N=1.875 \times 10^{22}$

Hence the electrons flow through the hairdryer in 5.0 min will be 1.88×10²².

To learn more about the electric current refer to the link;

https://brainly.com/question/7643273