Question

The total charge a battery can supply is rated in mA⋅h , the product of the current (in mA ) and the time (in h ) that the battery can provide this current. A battery rated at 1000 mA⋅hr can supply a current of 1000 mA for 1.0 h , 500 mA current for 2.0 h , and so on. A typical AA rechargeable battery has a voltage of 1.2 V and a rating of 1800 mA⋅h . Part A For how long could this battery drive current through a long, thin wire of resistance 34 Ω ? Express your answer in hours. Δt Δ t = nothing h SubmitRequest Answer Provide Feedback Next

Answer 1

Answer: 0.2  hours

Explanation: In order to solve this question we have to considerer that a recargeable battery can supply 1800 mA  in one hour then we have to determine how long could this battery drive current through a long, thin wire of resistance 34 Ω .

Besides, this battery has a voltage of 12 V

so by using the Ohm law we also know that V=R*I,

Fron this we can obtain:

I= V/R= 12 V/ 34 Ω=0.35 A= 350 mA

then considering that this battery can supply 1800 mA in one hour we have this battery can supply 350 mA  in x time in the form:

1hour------- 1800 mA

x hour--------350 mA

time= 350/1800= 0.2 hour