High School

A 1.5 V D-size battery stores 60 kJ of energy. What steady current could this battery provide for 20 hours before being depleted?

A. 1 A
B. 3 A
C. 6 A
D. 9 A

Answer :

Final answer:

A 1.5 V D-size battery can provide a steady current of approximately 0.55 A for 20 hours before being depleted.

Explanation:

To determine the steady current that a 1.5 V D-size battery can provide for 20 hours before being depleted, we can use the formula:

Energy = Power x Time

In this case, the energy stored in the battery is 60 kJ (60,000 J) and the time is 20 hours (20 x 3600 seconds).

Using the formula, we can rearrange it to find the power:

Power = Energy / Time

Power = 60,000 J / (20 x 3600 s)

Power ≈ 0.83 W

Since Power = Voltage x Current, we can rearrange it to find the current:

Current = Power / Voltage

Current = 0.83 W / 1.5 V

Current ≈ 0.55 A

Therefore, the steady current that this battery can provide for 20 hours is approximately 0.55 A.