A car battery has a rating of 200 ampere·hours (A·h). This rating is one indication of the total charge that the battery can provide to a circuit before failing.
What is the total charge (in coulombs) that this battery can provide?
Determine the maximum current that the battery can provide for 44 minutes.
An amp is a coulomb/second
So a coulomb = amp second
200 amp hours * 3600 s/hr = 720,000 amp seconds = 720,000 coulombs
44 minutes = 2640 seconds
i * time = charge = 720,000 c
i = 720,000/2640
i = 273 amps
(actually it would probably burn up, but that is another problem :)
amperes x seconds = coulombs.
200 x 1 hour = rating.
200 x 60 minutes = rating.
44/60 of that = ??
To determine the total charge in coulombs that a battery can provide, you need to convert the rating from ampere-hours to coulombs.
To convert from ampere-hours (A·h) to coulombs (C), you can use the equation:
Charge (in coulombs) = Rating (in A·h) × 3600 (seconds per hour) × 1 (Coulomb per Ampere-second)
Given that the battery has a rating of 200 ampere·hours (A·h), you can calculate the total charge as follows:
Total charge (in coulombs) = 200 A·h × 3600 s/h × 1 C/A·s
= 720,000 C
Therefore, this battery can provide a total charge of 720,000 coulombs.
Now, to determine the maximum current that the battery can provide for 44 minutes, you can use the formula:
Current (in amperes) = Charge (in coulombs) / Time (in seconds)
Since we are given the time in minutes, we need to convert it to seconds. There are 60 seconds in a minute, so:
Time (in seconds) = 44 minutes × 60 seconds/minute
= 2,640 seconds
Now, substituting the values into the formula:
Current (in amperes) = 720,000 C / 2,640 s
≈ 272.73 A
Therefore, the maximum current that this battery can provide for 44 minutes is approximately 272.73 amperes.