Question

A battery charger delivers a current of 5.8 a for 2.9 h to a 12-v storage battery. what is the total charge that passes through the battery in that time

Answer 1

The current is defined as the amount of charge Q that flows through a given point of a circuit in a given time
`\Delta t`:

`I= (Q)/(\Delta t)`

In our problem, the time interval considered is

`\Delta t= 2.9 h = 10440 s`
while the current is

`I=5.8 A`
Therefore, if we re-arrange the previous equation, we can calculate the amount of charge that passes through the battery in that time:

`Q=I \Delta t=(5.8 A)(10440 s)=6.05 \cdot 10^4 C`