Question

A car battery has a rating of 270 ampere-hours. This rating is one indication of the total charge that the battery can provide to a circuit before failing. (a) What is the total charge (in coulombs) that this battery can provide? (b) Determine the maximum current that the battery can provide for 42 minutes.

Answer 1

Part a)

charge through the battery is

`Q = 9.72 * 10^5 C`

Part b)

Maximum current is

i = 386 A

Step-by-step explanation:

Part a)

As we know that the rating of battery is given as

`R = 270 A h`

here we also know that the charge given by the battery is same as the capacity of the battery

so we will have

`Q = i t`

`Q = (270 A)(3600 s)`

`Q = 9.72 * 10^5 C`

Part b)

Now we know that current in the wire is given by

`i = (Q)/(t)`

now plug in all values in it

`i = (9.72 * 10^5)/(42* 60)`

`i = 386 A`