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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Batteries are rated in terms of ampere-hours (A · h). For example, a battery that can deliver a current of 3.0 A for 5.0 h is rated at 15 A · h. (a) What is the total energy, in kilowatt-hours, stored in a 12-V battery rated at 55 A · h? (b) At $0.12 per kilowatt-hour, what is the value of the electricity that can be produced by this battery?

(a)

To determine
The total energy stored in the battery.

Explanation

Given Info: A battery which can deliver 12V voltage is rated 55Ah

Explanation:

Formula to calculate the energy stored is,

E=PΔt

  • E is the energy stored in the battery,
  • P is the power at final operating temperature,
  • Δt is the time interval which current exists,

Formula to calculate power is,

P=VI

    • V is the voltage delivered by battery,
    • I is electric current,

Substitute the above formula in the previous equation to rewrite E

E=VIΔt

Substitute 1

(b)

To determine
The value of electricity produced by the battery.

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