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?
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 8P: One long wire carries current 30.0 A to the left along the x axis. A second long wire carries...
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