homework6 - Harvard University Department of Physics Spring Semester 2009 Physics 15b Electricity Magnetism Problem Set#6 Due Friday at 4 PM 1(Purcell

# homework6 - Harvard University Department of Physics Spring...

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Harvard University Department of Physics Spring Semester 2009 Physics 15b Electricity & Magnetism Problem Set #6 Due Friday, March 20, 2009 at 4 PM 1. (Purcell 6.4) A long wire is bent into the hairpin-like shape shown in the figure. Find an exact expression for the magnetic field at the point P which lies at the center of the half-circle. Purcell 6.4 P r I 2. (Purcell 6.8) A wire carrying current I runs down the y axis to the origin, thence out to infinity along the positive x axis. Show that the magnetic field in the quadrant x > 0, y > 0 of the xy plane is given by B z = I c 1 x + 1 y + x y x 2 + y 2 + y x x 2 + y 2 3. (Purcell 6.14) A coil is wound evenly on a torus of rectangular cross section. There are N turns of wire in all. Only a few are shown in the figure. With so many turns, we shall assume that the current on the surface of the torus flows exactly radially on the annular end faces, and exactly longitudinally on the inner and outer cylindrical surfaces.

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