The current through a coil as a function of time is represented by the equation I(t) = Ae-bt sin(wt), where A = 5.25 A, b = 1.75 x 10-2s-1, and w = 375 rad/s. At t = 0.740 s, this changing current induces an emf in a second coil that is close by. If the mutual inductance between the two coils is 4.27 mH, determine the induced emf. (Assume we are using a consistent sign convention for both coils. Include the sign of the value in your answer.)

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
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The current through a coil as a function of time is represented by the equation I(t) = Ae-bt sin(wt), where A = 5.25 A, b = 1.75 x 10-2 s-1, and w = 375 rad/s. At t = 0.740 s, this changing current induces an
emf in a second coil that is close by. If the mutual inductance between the two coils is 4.27 mH, determine the induced emf. (Assume we are using a consistent sign convention for both coils. Include the sign of
the value in your answer.)
Transcribed Image Text:The current through a coil as a function of time is represented by the equation I(t) = Ae-bt sin(wt), where A = 5.25 A, b = 1.75 x 10-2 s-1, and w = 375 rad/s. At t = 0.740 s, this changing current induces an emf in a second coil that is close by. If the mutual inductance between the two coils is 4.27 mH, determine the induced emf. (Assume we are using a consistent sign convention for both coils. Include the sign of the value in your answer.)
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