Consider a current carrying wire perpendicular to the page near a plane interface of a wall....

   

Transcribed Image Text:

Consider a current carrying wire perpendicular to the page near a plane interface of a wall. The method of images shows that B, HI-yx+(x-d)ŷ 2π y² + (x-d)² 2л y² + (x+d)² ¸μ₁ľ' −yx+(x+d)ŷ + = and B field in the region I is that of a shielded current/" at the same location as the real current/ Hol" -yx+(x-d)ŷ 2л y² + (x-d)² a) Use the boundary conditions on H and B to find I', and I" in terms of I, o, μ. Find the force between the wall and the wire. b) In the part (a), let →∞ (iron), then the B lines intersect the iron surface normally. Find the B field in region II. Draw the B field lines. c) A superconductor is material that when cooled below a critical temperature, no magnetic lines can penetrate into the material, so B is tangential to the surface at a superconductor. Use the method of images to find B in region Il above for a wire carrying current near the surface of a superconducor. Find the force exerted on the wire. μL E O d Region I d Ho O Region II (1.1) X (1.2) Consider a current carrying wire perpendicular to the page near a plane interface of a wall. The method of images shows that B, HI-yx+(x-d)ŷ 2π y² + (x-d)² 2л y² + (x+d)² ¸μ₁ľ' −yx+(x+d)ŷ + = and B field in the region I is that of a shielded current/" at the same location as the real current/ Hol" -yx+(x-d)ŷ 2л y² + (x-d)² a) Use the boundary conditions on H and B to find I', and I" in terms of I, o, μ. Find the force between the wall and the wire. b) In the part (a), let →∞ (iron), then the B lines intersect the iron surface normally. Find the B field in region II. Draw the B field lines. c) A superconductor is material that when cooled below a critical temperature, no magnetic lines can penetrate into the material, so B is tangential to the surface at a superconductor. Use the method of images to find B in region Il above for a wire carrying current near the surface of a superconducor. Find the force exerted on the wire. μL E O d Region I d Ho O Region II (1.1) X (1.2)

Answer rating: 100% (QA)

A Answer to Question 1 a Using the boundary conditions on H and B we can calculate the shielded current in terms of the current I the permeability of free space o and the permeability of the wall The ... View the full answer