A 5.00-a current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a light bulb. copper has 8.5 * 1028 free electrons per cubic meter. (a) how many electrons pass through the light bulb each second

Respuesta :

The correct answer is: [tex]3.125*10^{19}[/tex] electrons/second

Explanation:

5A current is passing through the copper wire and the light bulb; it means that 5 Coulombs of charge per second is passing through the wire (as current = coulombs/second). To find the electrons per second, the following formula is used:

Electrons per second = [tex]n_e=\frac{5}{e}=\frac{5}{ 1.60\cdot 10^{-19}}=3.125*10^{19}[/tex]

Answer:

[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex] electrons per second

Explanation:

As we know that electric current is defined as rate of flow of electric charge

so here we will have

[tex]i = \frac{dq}{dt}[/tex]

here we know that

[tex]q = Ne[/tex]

now from above equation

[tex]i = e\frac{dN}{dt}[/tex]

here we know

[tex]\frac{dN}{dt}[/tex] = number of electrons passing per second

e = charge of an electron

i = 5.00 Ampere

now from above equation we have

[tex]\frac{dN}{dt} = \frac{i}{e} [/tex]

[tex]\frac{dN}{dt} = \frac{5}{1.6 \times 10^{-19}}[/tex]

[tex]\frac{dN}{dt} = 3.125 \times 10^{19}[/tex]

so above is the total number of electrons passing through wire per second