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?

Respuesta :

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

[tex]P=I*V[/tex]

Then, the current equals [tex]P/V=\frac{50}{12.6}=3.9683 Amp\\[/tex]

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 = [tex]\frac{100 Amp.hour}{3.9683Amp}=25.2 hours[/tex]