High School

The electric energy stored in a 3-V battery with a capacity of 2 Ah is:

A. 360 J
B. 600 J
C. 6 J
D. 21.6 kJ

Answer :

Final answer:

The electric energy stored in a 3-V battery with a capacity of 2 Ah is calculated by converting ampere-hours to watt-hours and then to joules, resulting in 21.6 kJ. Therefore, the correct option is D.

Explanation:

To calculate the electric energy stored in a battery, we need to consider both the voltage of the battery and its capacity in ampere-hours (Ah). You can convert the capacity to energy in watt-hours by multiplying the capacity by the voltage, and then to joules by multiplying by 3600, since 1 Wh equals 3600 J.

For a 3-V battery with a capacity of 2 Ah, the energy stored in the battery would be calculated as follows:

  • Energy (Wh) = Voltage (V) × Capacity (Ah) = 3V × 2Ah = 6Wh
  • Energy (J) = Energy (Wh) × 3600 J/Wh = 6 Wh × 3600 J/Wh = 21600 J

Therefore, the correct answer to how much energy is stored in a 3-V battery with a capacity of 2 Ah is 21.6 kJ.