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Lecture 15

# Lecture 15 - A sheet of current The plane of wires extents...

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A sheet of current The plane of wires extents to ± in each direction. Define n as the number of wires/length. Each wire i t I carries current I. By symmetry and RHR#3, B points right above the plane and left below. Center the rectangle, with long side length L, used as an Amperian loop as shown. Ampere’s law yields 2LB= μ 0 I enc = μ 0 LnI, or B= μ 0 nI/2, independent of the 2LB LnI, or B nI/2, independent of the separation from the plane.

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Planning Quiz 3 will be the Friday of the week that you return from spring break. It will cover magnetic field calculations, magnetic force h d ti phenomena, and magnetism. HW16 will be “turned on” Saturday 3/20 to let you start getting back into practice. We will have usual reviews mid-week of your return.
Two sheets of current B u B m B b If we call Bt, Bm, Bb the fields above, in the middle, and below the planes, respective, Ampere’s law tells us that B +B =0 B B = nI and B +B = nI –B u +B b =0, -B u -B m =- μ 0 nI, and B m +B b = μ 0 nI. Appealing to superposition arguments, the field should be big in between the planes and small above or below.

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