10_Chapter 18 HomeworkCH18 Direct-Current Circuits

# 10_Chapter 18 HomeworkCH18 Direct-Current Circuits - 108...

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108 CHAPTER 18 18.10 First, consider the parallel case. The resistance of resistor B is ( ) 6.0 V 3.0 2.0 A B B B V R I = = = ( ) ( ) ( ) 6.0 B battery A V V V = ∆ − ∆ = ( ) In the series combination, the potential difference across B is given by The current through the series combination is then V-4.0 V 2.0 V = 2.0 V 2 A 3.0 3 B s B V I R = = = and the resistance of resistor A is ( ) 4.0 V 6.0 2 3 A A A s V R I = = = 18.11 The equivalent resistance is eq p R R R = + , where p R is the total resistance of the three parallel branches; ( )( ) 1 1 30 5.0
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