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1.

Part (a)

Find the magnetic field above and below an infinite current sheet (infinite straight wires with current I along the positive z-axis). The sheet is on the xz plane. There are N wires per meter counting along the axis.

Part (b)

There are two parallel sheets with the same givens as part (a) except that the second sheet is separated by a distance d above the first. The sheet above carries current I along the positive z-axis. Find the magnetic field above, between, and below the sheets.

2.

Ampere's Law:

Integral of (gradient cross B) times dA=Integral of B times dl

with B=magentic field

A=area

l=length

3. I'm having more trouble with part (b) than I did with part (a).

This is how I went about solving part (a). I'm not sure if it's completely right or not though.

I drew a rectangular loop parallel to the xy plane extended an equal distance above and below the surface. I then used ampere's law...

Integral (B times dl) = 2Bl

It is 2Bl because one is from the top segment and one from the bottom.

2Bl=(mu sub 0)(I enclosed)(l)

where I is the current and l is the length and mu is the permeability of free space

Setting 2Bl = 0(I enclosed l)

B=+ (mu sub 0/2)I in the x direction (when y<0)

B= - (mu sub 0/2)I in the x direction (when y>0)

If anybody has any ideas to solve part (b) or any corrections to my part (a) solution, I would really appreciate it! Thanks!!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Magnetic fields and wire

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