Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.

Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 21PQ

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