16_Chapter 16 HomeworkCH17 Current and Resistance

16_Chapter 16 HomeworkCH17 Current and Resistance - 84...

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84 CHAPTER 17 17.36 (a) ( )( ) ( )( ) 5 90 W 1 h 90 J s 3 600 s 3.2 10 J = ⋅ = = = × P E t (b) The power consumption of the color set is ( ) ( ) ( ) 120 V 2.50 A 300 W V I = ∆ = = P Therefore, the time required to consume the energy found in (a) is 5 3 3.2 10 J 1 min 1.1 10 s 18 min 300 J s 60 s E t × = = = × = P 17.37 The energy input required is ( ) ( ) ( ) ( ) 5 1.50 kg 4 186 J kg C 50.0 C 10.0 C 2.51 10 J E mc T = = ⋅° ° ° = × 10.0 min 600 s t and, if this is to be added in ∆ = = , the power input needed is 5 2.51 10 J 419 W 600 s E t × = = = P ( ) The power input to the heater may be expressed as 2 V R = ∆ P ( ) , so the needed resistance is ( ) 2 2 120 V 34.4 419 W V R = =
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