A person accidentally leaves a car with the lights on. If eachof the two headlights uses 43 W andeach of the two taillights 7.0 W,for a total of 1.0E2 W, how longwill a fresh 12-V battery last if it is rated at 8.0E1 A·h? Assume the full 12 V appears across each bulb.

A person accidentally leaves a car with the lights on. If eachof the two headlights uses 43 W andeach of the two taillights 7.0 W,for a total of 1.0E2 W, how longwill a fresh 12-V battery last if it is rated at 8.0E1 A·h? Assume the full 12 V appears across each bulb.

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asked 2021-05-05
A person accidentally leaves a car with the lights on. If eachof the two headlights uses 43 W andeach of the two taillights 7.0 W,for a total of 1.0E2 W, how longwill a fresh 12-V battery last if it is rated at 8.0E1 A·h?
Assume the full 12 V appears across each bulb.

Answers (1)

2021-05-07
P = 100W
1 A*h = 3600 A*s (Coulombs), therefore:
Q = 288000 C
E = 12 V
For a battery, P=EI.
\(\displaystyle{I}=\triangle\frac{{Q}}{\triangle}{t}\)
Transposing these equations and solving for \(\displaystyle\triangle{t}\) the followingequation resolves:
\(\displaystyle\triangle{t}=\frac{{{E}\triangle{Q}}}{{P}}={34560}{s}={9.6}\) hours (So that's why theyhad it in A*h originally)
0

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