Respuesta :
Answer:
792000 Coulombs.
Explanation:
Ampere-hours is a unit of electric charge since Ampers are charge per unit time, so Ampers multiplied by time is charge. To get our value in the S.I. we need just to convert the hours to seconds (remember that 1 hour are 3600 seconds, so dividing between them is equal to 1, which only changes the units but not our value, since we are multiplying by one):
[tex]220A\ hours = 220A\ hours (\frac{3600s}{1 hour})=792000As=792000C[/tex]
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.
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.