High School

A flight battery has ratings of 0.8 ampere-hours and a lifetime of 10 hours.

(a) How much current can it deliver?

(b) How much power can it provide if its terminal voltage is 6 V?

(c) How much energy is stored in the battery in kWh?

Answer :

Final answer:

A flight battery with a capacity of 0.8 ampere hours can deliver currents up to 0.8 amperes for an hour, provide power of 0.48 watts at 6 volts, and has a total energy storage of 0.0048 kWh.

Explanation:

The student's question is related to a flight battery with a capacity of 0.8 ampere hours. First, let's address part (a): how much current can it deliver. The battery can deliver 0.8 amperes continuously for 1 hour or any equivalent combination that multiplies to 0.8 ampere-hours, such as 0.08 amperes for 10 hours. For part (b), to find out how much power it can give, use the formula Power (P) = Current (I) x Voltage (V). Assuming the battery delivers its full capacity over 10 hours, the current would be 0.08 amperes. So the power it can deliver at a terminal voltage of 6 V would be P = 0.08 A x 6 V = 0.48 watts.

For part (c), the energy stored in the battery in kilowatt-hours (kWh) can be calculated by multiplying the capacity in ampere-hours (Ah) by the voltage (V) and converting it to kWh. The energy E in kWh is then E = 0.8 Ah x 6 V / 1000 = 0.0048 kWh.