Question #191517

A clock battery wears out after moving 87780 C of charge through the clock at a rate of 42 mA. How many days before the batteries run out?


Round your answer to 2 decimal places


1
Expert's answer
2021-05-10T19:11:32-0400

We can find the number of days before the battery runs out from the formula:


Q=It,Q=It,t=QI,t=\dfrac{Q}{I},t=87780 C42103 A=2.09106 s1 h3600 s1 day24 h=24 days.t=\dfrac{87780\ C}{42\cdot10^{-3}\ A}=2.09\cdot10^6\ s\cdot\dfrac{1\ h}{3600\ s}\cdot\dfrac{1\ day}{24\ h}=24\ days.

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