Question
Asked Nov 17, 2019
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A mobile phone battery has a capacity of 10 Ah. If the mobile phone requires 10 mW power to run smoothly, estimate how long will the phone run without charging? Assume the battery is fully charged.

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Expert Answer

Step 1

If R ohm corresponds to the load of the mobile phone during smooth run and i(t) A is the corresponding current, then the power requirement by the mobile phone during smooth run can be expressed as

pt) ()xR W--->(1)
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pt) ()xR W--->(1)

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Step 2

In this present case, the power requirement for smooth run is given as

p(t) 10 mW 10 x 10 = 102 W ->(2)
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p(t) 10 mW 10 x 10 = 102 W ->(2)

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Step 3

Equating equation (1) and (2), the current required f...

F(t)x R = 10
10-2
A 0.1
R
=> i(t) =
A
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F(t)x R = 10 10-2 A 0.1 R => i(t) = A

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