Week 6 Assignment.docx - RamonB.Flores 4355744 SCIN234C001...

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Ramon B. Flores 4355744 SCIN234 C001 28 . When the current in one coil changes at a rate of 5.6 A/s, an emf of  6.3×10 −3 V 6.3 × 10 3V is  induced in a second, nearby coil. What is the mutual inductance of the two coils? M = ε dI dt = 6.3 × 10 3 V 5.6 A / s =− 1.13 × 10 3 H 30 . Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays  according to  I=I 0 e −αt I=I0e t α where  I 0 =5.0A I0=5.0A and  α=2.0×10 3 s −1 , =2.0 × 103s 1, α  what is the emf induced in the  second coil immediately after the current starts to decay? At  t=1.0×10 −3 s? I 0 e at ¿ d ( ¿ dt ¿ )=− I 0 ae at =− ( 5.0 A ) ( 2.0 × 10 3 s 1 ) e ( 2.0 × 10 3 s 1 ) ( 1.0 × 10 3 s ) =− 1.35 × 10 3 A / s ¿ dI dt = ¿ ε =−( 32 mH )(− 1.35 × 10 3 A / s )= 43.2 V 42 . The current  I(t)  through a 5.0-mH inductor varies with time, as shown below. The resistance of the  inductor is  5.0Ω.
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