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nikklg [1K]
3 years ago
5

The total charge that an automobile battery can supply without being recharged is given in terms of Ampere-hours. A typical 12-V

battery has a rating of 49 A · h . Suppose you forget to turn off the headlights in your parked automobile. If each of the two headlights draws 3.5 A , find out the time before your battery is "dead". Answer in units of hours. Answer in units of h
Physics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer:

7 hours

Explanation:

The total charge contained in the battery is

Q = 49 A \cdot h

And this is a charge, since it is a current multiplied by a time:

Q=It

The current drawn by each headlight (which is the charge consumed per second) is

I=3.5 A

Since we have two headlight, the total current drawn is

I=3.5 \cdot 2 = 7 A

Therefore, the total charge consumed by the two headlights each hour is

q = I \cdot h = 7 A \cdot h

So, the time before the battery is dead is

t=\frac{Q}{q}=\frac{49 Ah}{7Ah}=7 h

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