Complete Question: A car battery has a rating of 220 ampere·hours (A · h). 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
38 minutes.
Answer:
(a) 792000 C.
(b) 440 A.
Step-by-step explanation:
(a)
Charge: This can be defined as the product of current and time in an electrical circuit. The S.I unit of charge is coulomb's.
The expression for charge is given as
Q = It...................... Equation 1
Where Q = Charge in coulombs, I = current i ampere, t = time in seconds
Given: It = 220 Ampere-hours
Q = (220×3600) Ampere- seconds
Q = 792000 C.
(b)
Current: This can be defined as the rate of flow of electric charge in a circuit. The S.I unit of current is Ampere (A),
The expression for current is given as
I = Q/t....................... Equation 2
Given: Q = 792000 C, t = 30 min = (30×60) s = 1800 s
Substitute into equation 2
I = 792000/1800
I = 440 A.