Consider a loop of circular wire of radius R located in the xy plane and carrying a stable current I, the center of the loop coincides with the origin of the coordinate system. Calculate the magnetic field at an axial point P at a distance z from the center of the loop, using cylindrical coordinates, and explicitly show that the component of the field B at P perpendicular to the z axis is zero. Indicate with p and k the unit vectors of the cylindrical coordinates. Note: you must solve the exercise in a vector way.

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 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...
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Consider a loop of circular wire of radius R
located in the xy plane and carrying a
stable current I, the center of the loop
coincides with the origin of the coordinate
system. Calculate the magnetic field at an
axial point P at a distance z from the center
of the loop, using cylindrical coordinates,
and explicitly show that the component of
the field B at P perpendicular to the z axis is
zero. Indicate with p and k the unit vectors
of the cylindrical coordinates. Note: you
must solve the exercise in a vector way.
Transcribed Image Text:Consider a loop of circular wire of radius R located in the xy plane and carrying a stable current I, the center of the loop coincides with the origin of the coordinate system. Calculate the magnetic field at an axial point P at a distance z from the center of the loop, using cylindrical coordinates, and explicitly show that the component of the field B at P perpendicular to the z axis is zero. Indicate with p and k the unit vectors of the cylindrical coordinates. Note: you must solve the exercise in a vector way.
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