36_Chapter 18 HomeworkCH18 Direct-Current Circuits

36_Chapter 18 HomeworkCH18 Direct-Current Circuits - 134...

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134 CHAPTER 18 18.58 Consider a battery of emf ε connected between points a and b as shown. Applying Kirchhoff’s loop rule to loop gives acbea ( ) ( ) () 11 3 1.0 0 I 1.0 II −− − + 13 2 = or −= adbea ( (1) Applying the loop rule to loop gives ) ( ) 22 3 3.0 0 I 5.0 −− + + 23 85 = or + adca ( = (2) For loop , the loop rule yields ) ( ) ( ) 231 3.0 1.0 0 −++ 1.0 I = or 3 II I 2 + = (3) Solving equations (1), (2) and (3) simultaneously gives 12 4 , , 27 3 1 27 13 and 27 I εε = == Then, applying Kirchhoff’s junction rule at junction a gives 4 17 27 27 13 27 =+ + = = . Therefore, 27 17 27 17 I ab R = ±²³´ µ²³´ ± ± ² ³ ´ µ ¶²³´ ² ±
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This document was uploaded on 10/20/2011.

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