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20_Chapter 17 HomeworkCH17 Current and Resistance

20_Chapter 17 HomeworkCH17 Current and Resistance - 88...

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88 CHAPTER 17 Thus, ( ) 2 8 any combination of length and diameter satisfying the relation 4.8 10 m d = × l 1.0 m = l will be suitable. A typical combination might be and 8 2 4 4.8 10 m 2.2 10 m 0.22 mm d = × = × = Yes 3 cm ( ) ( ) ( ) ( ) , such heating elements could easily be made from less than 0.5 of Nichrome. The volume of material required for the typical wire given above is 6 3 2 2 4 7 3 3 10 cm 2.2 10 m 1.0 m 1.5 10 m 0.15 cm 1 m V A d π π = = = × = × = l l 3 17.47 The energy that must be added to the water is ( ) ( ) ( ) 6 J 1 kWh 200 kg 4 186 80 C 15 C 15 kWh kg C 3.60 10 J E mc T = = ° ° = ⋅° × ( ) and the cost is
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