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 9-V battery rated at 45 A · h? kWh (b) At $0.12 per kilowatt-hour, what is the value of the electricity that can be produced by this battery?
Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
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.
kWh
(b) At $0.12 per kilowatt-hour, what is the value of the electricity that can be produced by this battery?
¢
Given:
The current delivered by the battery is 3.0 A.
The time duration is 5.0 h.
The rating of the battery is 15 A.h.
The potential difference of the battery is 9 V.
The rating is 45 A.h.
Calculation:
Write the expression for the energy stored in the battery.
Substitute 12 V for V and 15 A.h for It in the above expression.
Thus, the total energy stored in the battery is 0.18 kW.h.
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