**Finding the Magnetic Dipole Moment \( \vec{\mu} \) of the Current Loop**Consider the problem statement:Find the magnetic dipole moment \( \vec{\mu} \) of the current loop given in the figure.**Options:**A) \( I a^2 (-\hat{i} - \hat{j} + \hat{k}) \) B) \( I a^2 \left( \frac{1}{\sqrt{2}} \hat{j} - \frac{1}{\sqrt{2}} \hat{k} \right) \) C) \( I a^2 \left( -\hat{i} - \frac{1}{\sqrt{2}} \hat{j} - \frac{1}{\sqrt{2}} \hat{k} \right) \) D) \( I a^2 (-\hat{k}) \) E) \( I a^2 (-\hat{j}) \) **Explanation of the Diagram:**The diagram shows a 3D representation of a rectangular loop oriented in the x-y-z coordinate system with a current \( I \) flowing through it. - The loop is aligned with the coordinate planes such that: - One surface is parallel to the xz-plane. - Another surface is parallel to the yz-plane. - The loop creates a rectangular circuit and the dimensions of the rectangle are given as 'a' for both length and width.Arrows indicate the direction of the current steadily flowing through the loop:- \(\hat{x}\): The positive x-direction arrow indicates the current flowing parallel to the x-axis.- \(\hat{y}\): The positive y-direction arrow indicates the current is flowing parallel to the y-axis.- \(\hat{z}\): The current is flowing parallel to the z-axis.Use the right-hand rule: Point the thumb of your right hand in the direction of the current. The curl of your fingers indicates the direction of the magnetic dipole moment (\( \vec{\mu} \)).The formula for the magnetic dipole moment \( \vec{\mu} \) of a current loop is:\[ \vec{\mu} = I \cdot (\text{Area Vector}) \]Calculating the Area Vector:If we look closely, the loop is perpendicular to the plane forming a rectangle. The effective area vectors are the summ

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Answered: Find the magnetic dipole moment of the…

Find the magnetic dipole moment of the current loop given in the figure. A) Ia² (-î -ĵ+ k) B) Ia² (-k) C) Ia²(-i-)-k) D) Ia²(-k) E) Ia² (-1)

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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