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A flashlight battery has a rating of 0.8 ampere-hours (Ah) over a period of 10 hours. (a) How much constant current can it deliver over 10 hours? (b) How much constant power can it deliver over the 10 hours if its terminal voltage is 6 V? (c) How much energy is stored in the battery in Why?



Answer :

Constant current can it deliver over 10 hours is 80 mA.  constant power can it deliver over the 10 hours if its terminal voltage is 6 V is 4.8 wh.

Given a flashlight battery has

dq=0.8 Ah

dt=10 h

we know that the rate of change of charge is current

[tex]i=dq/dt\\=0.8/10\\i=0.8*0.1=80 ma[/tex]

we know that the product of volate and current is called power denote by P

given, P=Vi

6×80×0.001= 0.48 w

the rate of work done is power

P=W/t=dw/dt

w=p×t

w=0.48×10=4.8 wh

  • Power is the capacity to perform an action or to complete a task in a certain amount of time.
  • By dividing energy or effort units by time units, one may find the power units. Watt is the name of the power unit used in the SI system. As a result, one watt is equivalent to one joule per second.

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