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.)
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
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 31P
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c3f2dfa-1e5a-4d53-881e-2fdbd88ee659%2Fd960ba55-179a-4dc4-a01b-92fdab052bee%2Fb2bdk2s_processed.png&w=3840&q=75)
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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