You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the Xz-plane and has a counterclockwise current when viewed from the positive y-axis. (a) If the loops each have a radius of 2.6 cm and they each carry a current of 3.0 A, determine the magnitude of the net magnetic field at the common center. What physical quantities determine the magnitude of the magnetic field at the center of a circular loop? What rule gives you the direction of the magnetic field due to a circular loop? If you have the components of a vector, how may you determine the magnitude and direction of the vector? T (b) The direction of a vector in three dimensions is often given by the angle it makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis? What is the angle between the net magnetic field at the center and the positive y-axis?

You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the Xz-plane and has a counterclockwise current when viewed from the positive y-axis. (a) If the loops each have a radius of 2.6 cm and they each carry a current of 3.0 A, determine the magnitude of the net magnetic field at the common center. What physical quantities determine the magnitude of the magnetic field at the center of a circular loop? What rule gives you the direction of the magnetic field due to a circular loop? If you have the components of a vector, how may you determine the magnitude and direction of the vector? T (b) The direction of a vector in three dimensions is often given by the angle it makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis? What is the angle between the net magnetic field at the center and the positive y-axis?

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)...

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Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the
xz-plane and has a counterclockwise current when viewed from the positive y-axis.
#1
#2
(a) If the loops each have a radius of 2.6 cm and they each carry a current of 3.0 A, determine the magnitude of the net magnetic field at the common center.
What physical quantities determine the magnitude of the magnetic field at the center of a circular loop? What rule gives you the direction of the magnetic field due to a circular loop? If you have the components of a vector, how may you determine the magnitude and direction of the vector? T
(b) The direction of a vector in three dimensions is often given by the angle it makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis?
What is the angle between the net magnetic field at the center and the positive y-axis?
What is the angle between the net magnetic field at the center and the positive z-axis?

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