16_Chapter 20 HomeworkCH20 Induced Voltages and Inductance

16_Chapter 20 HomeworkCH20 Induced Voltages and Inductance...

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190 CHAPTER 20 20.40 From ( ) L I t ε = , the self-inductance is 3 3 24.0 10 V 2.40 10 H 10.0 A s L I t ε × = = = × Then, from B L N I = Φ , the magnetic flux through each turn is ( ) ( ) 3 5 2 10 H 4.00 A 1.92 10 T m 500 B × Φ = = × 2.40 L I N = 20.41 The inductive time constant is L R τ = . From ( ) L I t ε = , the self-inductance is L I t ε = with units of V V s A s A s = = Ω⋅ . Thus, the units of the time constant are s s Ω⋅ = . 20.42 (a) The time constant of the RL circuit is L R τ = , and that of the RC circuit is RC τ = . If the two time constants have the same value, then
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