Question

The electronics aboard a certain sailboat consume 50 w when operated from a 12.6-v source. if a certain fully charged deep-cycle lead acid storage battery is rated for 12.6 v and 100 ampere hours, for how many hours can the electronics be operated from the battery without recharging?

Answer 1

The power (in watt) is defined as the multiplication of the voltage and the current

`P=I*V`

Then, the current equals
`P/V=(50)/(12.6)=3.9683 Amp\\`

Because the certain fully charged deep-cycle lead acid storage battery is rated for 12.6 v and 100 ampere hours (the same voltage)

so, the time which the electronics can be operated from the battery without recharging =
`(100 Amp.hour)/(3.9683Amp)=25.2 hours`