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a) Find the magnetic field at the point labelled $P$ in the toroidal solenoid pictured above, when $N = 1000$ turns and $I = 10$ amps. Indicate its direction on the picture.

b) If a bar magnet (magnetic dipole with length $l$ and pole strength $q$) is placed so that its south pole is at $P$ and its north pole is oriented outward along x (as shown) what is the approximate direction of the net force on the dipole?