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

Answer:

Part a)

charge through the battery is

$Q = 9.72 \times 10^5 C$

Part b)

Maximum current is

i = 386 A

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

$Q = i t$

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

$Q = 9.72 \times 10^5 C$

Part b)

Now we know that current in the wire is given by

$i = \frac{Q}{t}$

now plug in all values in it

$i = \frac{9.72 \times 10^5}{42\times 60}$

$i = 386 A$