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A electric heater that draws 13.5 a of dc current has been left on for 10 min. how many electrons that have passed through the heater during that time? (e = 1.60 Ã 10-19 c)

Respuesta :

Erythrosin17
By definition, Ampere is a unit of current which is a measure of the amount of charge passing through a point in a circuit per unit  of time, with an equivalent charge of 1.602 x 10^(-19) Coulomb per electron. To determine the number of electrons passing through the heater, we use the definition of the current. We calculate as follows:

13.5 A = 13.5 C per second
Charge = 13.5 C/s (10 min) ( 60 s / 1 min)
Charge = 8100 C 

Number of electrons = 8100 C / 1.602 x 10^(-19) C per electron
Number of electrons = 5.1 x 10^22 electrons

Therefore, there are 5.1 x10^22 electrons that assed through the heater for 10 minutes.

The no of electrons that have passed through the heater during that time will be 5.1 x 10²².

What is 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.

The given data in the problem is;

I is the electric current = 13.5 A

T is the time period = 10 min = 600 sec

e is the electron charge = 1.60 × 10-19 C

[tex]\rm I = \frac{q}{t} \\\\ q= i \times t \\\\\ q= 13.5 \times 600 \\\\ q= 8100 C[/tex]

The number of electrons is found by;

[tex]\rm n= \frac{q}{e} \\\\\ \rm n= \frac{8100}{1.3 \times 10^{-19}} \\\\\ \rm n= \ 5.1 \times 10^{22}[/tex]

Hence the no of electrons that have passed through the heater during that time will be 5.1 x 10²².

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

brainly.com/question/7643273

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