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Introductory Physics Volume Two

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78 Circuits 3.10<br />

⊲ Problem 3.31<br />

Because aluminum has a greater resistivity than copper, aluminum<br />

wires heat up more than copper wires when they carry the same currents.<br />

For this reason aluminum wire of the same gauge (diameter) is<br />

rated to carry a smaller current. What current in an aluminum wire<br />

will heat up the wire the same amount as a copper wire of the same<br />

gauge carrying 20 Amps?<br />

⊲ Problem 3.32<br />

Consider the following circuit.<br />

12 kΩ<br />

9.0 V<br />

R 2 = 15 kΩ<br />

10 µF<br />

3 kΩ<br />

The switch is closed and the capacitor is allowed to charge up.<br />

(a) How much charge will there be on the capactor when it is fully<br />

charged?<br />

(b) Now the switch is opened and the charge on the capacitor drains<br />

off. How long will it take for the capacitor to reach 1/5 of the charge<br />

it had at the moment the switch was opened?

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