contestada

*URGENT* Can anyone help me with question 3b pleaseee??

QUESTION:THE CURRENT IN A SMALL BULB IS 0.20A
A) WHAT IS THE TOTAL ELECTRIC CHARGE WHICH PASSES A POINT IN THE CIRCUIT IN 12min
B) HOW MANY ELECTRONS PASS THIS POINT IN THIS TIME


There is a piece of information at the beginning of the test also saying:
Charge on an electron= 1.6x10 power minus 19
Idk if that will help

PLEASE ALSO EXPLAIN WITH WORKING

Respuesta :

A) 144 C

The electric current is defined as

[tex]I=\frac{q}{t}[/tex]

where

q is the charge passing a given point of the circuit in a given time

t is the time interval considered

For this bulb, we know that:

I = 0.20 A is the current

[tex]t=12 min \cdot 60 = 720 s[/tex] is the time considered

Therefore, the amount of charge passing the point in the circuit in this time is

[tex]q=It = (0.20)(720)=144 C[/tex]

B) [tex]9\cdot 10^{20}[/tex] electrons

The charge of one electron is

[tex]e=1.6\cdot 10^{-19}C[/tex]

And the total charge passing through the point in the circuit in 12 min is

[tex]q=144 C[/tex]

So the total charge can be written as

[tex]q=ne[/tex]

where

n is the number of electrons passing that point  of the circuit in 12 min

So, solving for n,

[tex]n=\frac{q}{e}=\frac{144}{1.6\cdot 10^{-19}}=9\cdot 10^{20}[/tex]