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The total charge a battery can supply is rated in mA⋅hmA⋅h, the product of the current (in mA) and the time (in h) that the battery can provide this current. A battery rated at 1000mA⋅h 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 1800mA⋅h. For how long could this battery drive current through a long, thin wire of resistance22Ω?

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Answer:

118800 seconds

Explanation:

Given :

Voltage, V = 1.2 V

Resistance, R = 22 Ω

Applying Ohm's law, we get

Voltage, V = IR

Current [tex]$I=\frac{V}{R}$[/tex]

           [tex]$I=\frac{1.2}{22}$[/tex]

          I = 0.0545 A

Rate = 1800 mAh

Time taken, [tex]$t=\frac{1800 \times 10^{-3}}{0.0545}$[/tex]

                       = 33 hr

                      = 118800 s

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