A car owner forgets to turn off the headlights of his car while it is parked in his garage. If the 12.0-V battery in his car is rated at 61.0 A · h and each headlight requires 31.8 W of power, how long will it take the battery to completely discharge?

Question

Braeden Bates

Physics

22 May, 14:42

A car owner forgets to turn off the headlights of his car while it is parked in his garage. If the 12.0-V battery in his car is rated at 61.0 A · h and each headlight requires 31.8 W of power, how long will it take the battery to completely discharge?

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Answers (1)

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Jessie Cummings · Answer 1

23.02 h.

Explanation:

Power is defined as the time rate at which energy is dissipated.

Mathematically,

Power = Energy/time

Energy = I * V * t

Where,

I * t = current

= 61 Ah

V = potential difference

= 12 V

Power = 31.8 W

Therefore,

31.8 = (61 * 12) / t

t = 732/31.8

= 23.02 h

Converting to seconds,

= 23.02 h * 3600 s/1 h

= 82867.9 s.