{{tag>magnetostatic magnetic_field_lines exam_ee2_SS2024}}{{include_n>1030}} #@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Magnetic Field Lines \\ (written test, approx. 6 % of a 120-minute written test, SS2024) #@TaskText_HTML@# The following setup shall be given: * Four conductors are located perpendicular to the plane of the diagram * All of them conduct a current with the same magnitude, but not in the same direction. * A permanent magnet is located in between the conductors. {{drawio>ee2:8a117vmnbbmsbfz3_question1.svg}} 1. Do not consider the permanent magnet at first. Draw at least 10 field lines of the H-field qualitatively. Give a a correct representation of their direction, and density for the shown area. #@HiddenBegin_HTML~8a117vmnbbmsbfz3_12,Result~@# {{drawio>ee2:8a117vmnbbmsbfz3_answer1.svg}} #@HiddenEnd_HTML~8a117vmnbbmsbfz3_12,Result~@# 2. Discuss how the permanent magnet affects the H-field, based on the fundamental definition of the H-field. #@HiddenBegin_HTML~8a117vmnbbmsbfz3_22,Result~@# * The H-field is defined by currents $\sum I = \int H {\rm d}s$ . * In the permanent magnet, there are no free currents. * The bound currents (of the permanent magnet) create also an H field. * This exits on the north pole and enters the magnet on the south pole (similar to the B-field)_ * $H = B/\mu$ * The H-field from task 1 gets distracted {{drawio>ee2:8a117vmnbbmsbfz3_answer2.svg}} #@HiddenEnd_HTML~8a117vmnbbmsbfz3_22,Result~@# #@TaskEnd_HTML@#