A circular loop of wire with radius r= 10 cm and resistance R= 2.0 Ωlies in the xyplane. The loop is immersed in a time-dependent magnetic field given by the expression B(t)= (4.0t^2 - 2t^3) k. where tis in seconds and B is in milliTesla(mT). a.Find the magnitude and direction of the induced currentat t= 2.0 s. b.You will notice that since the field is a non-linear function of time, the induced current is also a function of time. Calculate at what time the induced current is maximum. Then find out the magnitudeand direction of this maximum induced current.
A circular loop of wire with radius r= 10 cm and resistance R= 2.0 Ωlies in the xyplane. The loop is immersed in a time-dependent magnetic field given by the expression B(t)= (4.0t^2 - 2t^3) k. where tis in seconds and B is in milliTesla(mT). a.Find the magnitude and direction of the induced currentat t= 2.0 s. b.You will notice that since the field is a non-linear function of time, the induced current is also a function of time. Calculate at what time the induced current is maximum. Then find out the magnitudeand direction of this maximum induced current.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter32: Faraday’s Law Of Induction
Section: Chapter Questions
Problem 61PQ
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A circular loop of wire with radius r= 10 cm and resistance R= 2.0 Ωlies in the xyplane. The loop is immersed in a time-dependent magnetic field given by the expression
B(t)= (4.0t^2 - 2t^3) k. where tis in seconds and B is in milliTesla(mT).
a.Find the magnitude and direction of the induced currentat t= 2.0 s.
b.You will notice that since the field is a non-linear function of time, the induced current is also a function of time. Calculate at what time the induced current is maximum. Then find out the magnitudeand direction of this maximum induced current.
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