12. 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.

12. 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.

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 57P: A long solenoid that has 1 000 turns uniformly distributed over a length of 0.400 m produces a...

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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

12. 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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