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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
URGENT!!!!!!!!!
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON