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.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 110CP: A circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop...

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