12. ••• Car batteries are often rated in “ampere-hours” or A·h.

(a) Show that the A·h has SI units of charge and specifically that 1 A·h = 3600 C.

(b) A fully charged, heavy-duty battery is rated at 100 A·h and can deliver a current of 5.0 A steadily until depleted. What is the maximum time this battery can deliver that current, assuming it isn’t being recharged?

(c) How much charge will the battery deliver in this time?