**Problem Statement (L10)**A single circular current-carrying loop with a radius of \(4.40 \times 10^{-2}\) meters is centered at the origin and carries a current of 2.71 amperes. The magnetic moment \(\mu\) of the loop points at an angle \(\theta = 27.0^\circ\) from the \(+y\)-axis, as shown in the diagram. A uniform, constant magnetic field \(B = 0.544\) teslas is applied in the \(+y\) direction.**Question:** What is the magnitude of the torque that the magnetic field exerts on the current loop (in Newton-meters, N⋅m)?---**Diagram Explanation:**The accompanying vector diagram illustrates the relationship between the magnetic moment \(\mu\), the magnetic field \(B\), and the angle \(\theta\):- The vertical arrow labeled \(B\) represents the direction of the magnetic field, aligned with the \(+y\)-axis.- The vector labeled \(\mu\) represents the magnetic moment of the loop and lies at an angle \(\theta\) (\(27.0^\circ\)) from the \(+y\)-axis.- The loop’s orientation is indicated by a circle in the \(xy\)-plane at the origin.- The coordinate axes (\(+x\) and \(+y\)) are also indicated for reference. ---**Solution Approach:**To determine the magnitude of torque (\(\tau\)) exerted by the magnetic field on the current loop, we use the formula:\[\tau = \mu B \sin \theta\]where:- \(\mu\) is the magnetic moment of the loop,- \(B\) is the magnetic field strength,- \(\theta\) is the angle between \(\mu\) and \(B\).The magnetic moment \(\mu\) for a current loop is given by:\[\mu = I \cdot A\]where:- \(I\) is the current,- \(A\) is the area of the loop.The area \(A\) of a circular loop is:\[A = \pi r^2\]Given values:- Current \(I = 2.71\) A,- Radius of the loop \(r = 4.

The torque (τ) exerted on a current-carrying loop placed in a magnetic field is given by the…

(L10) A single circular current-carrying loop 4.40E-2 m in radius is centered at the origin and carries a current of 2.71 A so that its magnetic moment u points at an angle 27.0° from the +y axis, as shown. A uniform, constant magnetic field B 0.544 T is applied in the ty direction. What is the magnitude of torque that the magnetic field exerts on the current loop (in N-m)? +y B 0 que +x =

(L10) A single circular current-carrying loop 4.40E-2 m in radius is centered at the origin and carries a current of 2.71 A so that its magnetic moment u points at an angle 27.0° from the +y axis, as shown. A uniform, constant magnetic field B 0.544 T is applied in the ty direction. What is the magnitude of torque that the magnetic field exerts on the current loop (in N-m)? +y B 0 que +x =

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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