   Chapter 17, Problem 52AP

Chapter
Section
Textbook Problem

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 90.0 A · h and each headlight requires 36.0 W of power, how long will it take the battery to completely discharge?

To determine
The time taken by battery for complete discharge.

Explanation

Given Info: The battery is rated 90.0Ah . Battery supplies 12.0V voltage. The power used by each headlight of the car is 36.0W , The battery is rated 90.0Ah . Battery supplies 12.0V voltage. The power used by each headlight of the car is 36.0W .

Explanation:

Formula to calculate the energy stored is,

E=(ΔV)It

• E is the energy stored in the battery,
• ΔV is the voltage delivered by battery,
• I is the current produced,
• t is the time interval for which current exists,

Substitute 12.0V for ΔV and 90.0Ah for It in the above equation to find E

E=(12.0V)(90

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