The current supplied by a battery as a function of time is i(t) = (0.88 a) e^(-t*6 hr). what is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead?
3.7 x 10^18
5.3 x 10^23
4.4 x 10^22
1.6 x 10^19
1.2 x 10^23

Explanation:

As we know that the current through the battery is given as

here from above equation we know that current will become zero when time elapsed is very large

so here we can say that charge will flow through the battery from t = 0 to t = infinite

now we have

As we know that

since you're a real machine, your ama is always less than your ima, because you can never totally eliminate friction.