Explanation Calculation: Apply Kirchhoff’s first law. i 1 = i 2 + i 3 (1) Apply Kirchhoff’s second law for each loop. E ( t ) = L d i 1 d t + R i 2 (2) E ( t ) = L d i 1 d t + 1 C q (3) From equation (2) and (3), L d i 1 d t + R i 2 = L d i 1 d t + 1 C q R i 2 = 1 C q q = C R i 2 The current i 3 is rate of change of charge with respect to t . i 3 = d q d t Substitute C R i 2 for q in above equation

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Chapter 2.9, Problem 16E

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The linear system describes the currents i2(t) and i3(t)

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Chapter 2.9, Problem 15E

Chapter 2.9, Problem 17E

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Chapter 2 Solutions

EBK ADVANCED ENGINEERING MATHEMATICS

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Prob. 42CR Ch. 2 - Prob. 43CR Ch. 2 - Prob. 44CR Ch. 2 - Prob. 45CR Ch. 2 - Prob. 46CR Ch. 2 - Prob. 47CR Ch. 2 - Prob. 48CR Ch. 2 - Prob. 49CR Ch. 2 - Prob. 50CR

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The linear system describes the currents i 2 ( t ) and i 3 ( t )

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The linear system describes the currents i2(t) and i3(t)

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Chapter 2 Solutions