A bar magnet is enclosed by a spherical surface. (a) What is the magnetic flux through the

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A bar magnet is enclosed by a spherical surface.

(a) What is the magnetic flux through the entire surface?

(b) If the magnetic flux through the hemisphere closest to the magnet's north pole is positive, is the flux through the hemisphere closest to the magnet's south pole positive, negative, or zero?

(c) The magnet is now moved so that its north half is outside the surface. What is the flux through the entire surface now?

(d) The portion of the magnet outside the surface is sawed off. What is the flux through the surface now?

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