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18_Ch 18 College Physics ProblemCH18 Direct-Current Circuits

# 18_Ch 18 College Physics ProblemCH18 Direct-Current...

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116 CHAPTER 18 18.23 (a) We name the currents as shown. Applying Kirchhoff’s loop rule to loop , gives 1 2 3 , , and I I I 1 1 0 R I abcfa 1 2 2 2 R I ε ε + 2 1 2 10.0 mA I I + = 3 3 3 2 R I R I = edcfe 2 2 0 or (1) Applying the loop rule to loop yields 3 ε ε + 2 3 4 20.0 mA I I + = 2 1 3 I I I = + = or (2) Finally, applying Kirchhoff’s junction rule at junction c gives (3) Solving equations (1), (2), and (3) simultaneously yields 3 1 2 0.385 mA, I I = = 3 2.69 I 3.08 mA, and mA = (b) Start at point c and go to point f , recording changes in potential to obtain

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18_Ch 18 College Physics ProblemCH18 Direct-Current...

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