A current-carrying wire in the form of a semicircle lies in a plane at right angles to the direction of a uniform magnetic field. Show that the force on the wire is the same as that experienced by a straight wire lying along the diameter between the ends of the semicircle.

A current-carrying wire in the form of a semicircle lies in a plane at right angles to the direction of a uniform magnetic field. Show that the force on the wire is the same as that experienced by a straight wire lying along the diameter between the ends of the semicircle.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 25P: A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

A current-carrying wire in the form of a semicircle lies in a plane at right angles to the
direction of a uniform magnetic field. Show that the force on the wire is the same as that
experienced by a straight wire lying along the diameter between the ends of the
semicircle.

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