How long does it take for the batter to lose its charge?

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SUMMARY

The discussion focuses on calculating the time it takes for a car battery to lose its charge when the headlights are left on. The headlights consume a total power of 120 W, and the battery has a capacity of 95 A*h. By applying the formula P=IV, the current drawn by the headlights is determined to be 10 A. Consequently, the time until the battery is depleted is calculated by dividing the battery capacity (95 A*h) by the current (10 A), resulting in a total time of 9.5 hours before the battery fails.

PREREQUISITES
  • Understanding of electrical power calculations using P=IV
  • Familiarity with battery capacity units (A*h)
  • Basic knowledge of current (I) and voltage (V) relationships
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Study the implications of battery capacity in automotive applications
  • Learn about different types of car batteries and their specifications
  • Explore the effects of load on battery life in electrical systems
  • Investigate methods for measuring current draw in automotive circuits
USEFUL FOR

Automotive engineers, electrical technicians, and anyone involved in vehicle maintenance or battery management will benefit from this discussion.

pandamonium
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Homework Statement


The two headlights of a car sonsume a total power of 120 W. A driver parks the car but leaves the lights on. The 12-V battery is rated at 95 A * h.

Homework Equations


P=IV
V=IR

The Attempt at a Solution


I don't know any equation that associates this with time. [/B]
 
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Hi pandamonium, Welcome to Physics Forums.

Can you determine the amount of current drawn by the lights?
 
Since power and voltage is given, we use P=IV to solve for the current I, correct ?
 
gneill said:
Hi pandamonium, Welcome to Physics Forums.

Can you determine the amount of current drawn by the lights?
Since power and voltage is given, we use P=IV to solve for the current I, correct ? And thanks!
 
pandamonium said:
Since power and voltage is given, we use P=IV to solve for the current I, correct ? And thanks!
That's right. What value do you get for the current?
 
gneill said:
That's right. What value do you get for the current?
I got I=10.
 
pandamonium said:
I got I=10.
Okay, now take a closer look at the units of the battery capacity. How long will you have to draw 10 A to equal that capacity?
 
gneill said:
Okay, now take a closer look at the units of the battery capacity. How long will you have to draw 10 A to equal that capacity?
Oh, since 95 is the total charge that the battery can produce before failing, I can divide 95/10 to get the time before it fails, correct ?
 
pandamonium said:
Oh, since 95 is the total charge that the battery can produce before failing, I can divide 95/10 to get the time before it fails, correct ?
Yes. You can check your logic by working with the units.
 
  • #10
gneill said:
Yes. You can check your logic by working with the units.
Thanks for all the help ! I really appreciate it c:
 

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