4. You buy a car with a V 12V deep-cycle battery that can hold a charge of Q 55A

Question

4. You buy a car with a V 12V deep-cycle battery that can hold a charge of Q 55Ah. Unfortunately, you notice too late that the car's alternator is busted and your battery ends up to be completely depleted. Luckily your neighbor has a battery charger that can deliver a sustained charging current of 1 = 2A at V = 12%. How long does it take to recharge the battery using this charger? Neglect any inner resistances of the battery and charger, and any resistances of the wiring. Hint: what physical property would help you to distinguish the "potency" of different chargers? What makes one charger better than another?

Explanation / Answer

TIme taken to recharge the battery using the neighbor battery charger is

t =Q/VI

t =55/(2*12)

t=2.29 hours or 8250 seconds (since 1 hour =3600 s)

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