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2. A small square loop of side length a carries a clockwise current I and is placed within a non-uniform magnetic field described by the expression B = (x² + y²) 2. a. Calculate the direction and magnitude of the total force on the loop. To find the force on each segment, evaluate the integral of Idix B by integrating along x or y in the direction of current flow. Then add the four segment forces together to find the total force. b. Calculate the magnetic dipole moment of the loop. Does a ○ B(x,y) X the loop experience a torque from the magnetic field? C. Where in the xy-plane would the potential energy be at a minimum? Does the force calculated in (a) move the loop toward this location or away from this location?

2. A small square loop of side length a carries a clockwise current I and is placed within a non-uniform magnetic field described by the expression B = (x² + y²) 2. a. Calculate the direction and magnitude of the total force on the loop. To find the force on each segment, evaluate the integral of Idix B by integrating along x or y in the direction of current flow. Then add the four segment forces together to find the total force. b. Calculate the magnetic dipole moment of the loop. Does a ○ B(x,y) X the loop experience a torque from the magnetic field? C. Where in the xy-plane would the potential energy be at a minimum? Does the force calculated in (a) move the loop toward this location or away from this location?

College Physics
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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2. A small square loop of side length a carries a clockwise current I and is placed within a non-uniform magnetic field described by the expression B = (x² + y²) 2. a. Calculate the direction and magnitude of the total force on the loop. To find the force on each segment, evaluate the integral of Idix B by integrating along x or y in the direction of current flow. Then add the four segment forces together to find the total force. b. Calculate the magnetic dipole moment of the loop. Does a ○ B(x,y) X the loop experience a torque from the magnetic field? C. Where in the xy-plane would the potential energy be at a minimum? Does the force calculated in (a) move the loop toward this location or away from this location?
Transcribed Image Text:2. A small square loop of side length a carries a clockwise current I and is placed within a non-uniform magnetic field described by the expression B = (x² + y²) 2. a. Calculate the direction and magnitude of the total force on the loop. To find the force on each segment, evaluate the integral of Idix B by integrating along x or y in the direction of current flow. Then add the four segment forces together to find the total force. b. Calculate the magnetic dipole moment of the loop. Does a ○ B(x,y) X the loop experience a torque from the magnetic field? C. Where in the xy-plane would the potential energy be at a minimum? Does the force calculated in (a) move the loop toward this location or away from this location?
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