How many coulombs of charge flow through it during that time?

Question

A current of 0.3 A goes through an electric motor for 5 min.

 How many coulombs of charge flow through it during that time?

Answer 1

If you are interested in the calculus in where this comes from, the original equation is:

I = dq/dt

This basically means that current passing through the motor is equal to the total charge divided by the total amount of time elapsed. This leads to an equation of:

I = Δq/Δt

This can be simplified to

I = q/t

I = 0.3 A

t = 5 min * 60 sec/1 mon = 300 sec

The reason you must convert to seconds is not obvious but it is due to the derivation of the units of Amps and Coulombs.

0.3 = q / 300

q = .3 * 300

q = 90 C through the motor