Explanation Write the expression for the induced emf in the right loop. ε R = a 2 d B d t . (I) Here, ε R is the induced emf in the right loop, a is the side and B is magnetic field. Write the expression for the induced emf in the left loop. ε L = 2 a 2 d B d t . (II) Here, ε L is the induced emf in the left loop. The simplified circuit diagram is shown in the figure below. Figure (1) Here, the resistance per unit length of the wire is R . Apply Kirchhoff’s law to the right loop. ε R = ( 3 R a ) ( I 1 − I 2 ) − R a I 2 (III) Apply Kirchhoff’s law to the left loop. ε L = ( 5 R a ) I 1 + ( R a ) I 2 (IV) Substitute a 2 d B d t for ε R in equation (III). a 2 d B d t = ( 3 R a ) ( I 1 − I 2 ) − R a I 2 a d B d t = ( 3 R ) ( I 1 − I 2 ) − R I 2 (V) Substitute 2 a 2 d B d t for ε L in equation (IV)

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Chapter 31, Problem 61AP

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Physics for Scientists and Engineers With Modern Physics

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