4321_HW9FA08 - is J ? 4. A cd carries a uniform surface...

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Physics 4321 Homework Set 9 November 3, 2008 Due: Wednesday , November 12, 2008 1. A particle of charge q enters a region of uniform magnetic field B pointing into the page. The field causes the particle to deflect a distance d above the original line of flight as shown. Is the charge positive or negative? Find the momentum of the particle in terms of a , d , B , and q . 2. Suppose that the magnetic field in some region has the form B = kz x ^ , where k is a constant. Find the force on a square loop having side length a if the loop lies in the yz plane centered at the origin. Assume that the loop carries a counterclockwise current I when you look along the positive x axis. 3. A current I exists in a wire with radius a . (a) If the current is uniformly distributed over the wire's surface, what is the surface current density K ? (b) If the current is distributed in such a way that the volume current density is inversely proportional to the distance from the axis, what
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Unformatted text preview: is J ? 4. A cd carries a uniform surface charge density . If the cd rotates at an angular velocity , what is the surface current density K at a distance r from the center of the cd? 5. Find the magnetic field at the center of a square loop that carries a steady current I . Assume R is the perpendicular distance from the center of the loop to a side. 6. Calculate the magnetic field B at point P for the steady current configuration shown. 7. Calculate the force on the square loop placed near an infinite straight wire as shown. Both the loop and the straight wire carry a current I . 8. A steady current I exists in a long cylindrical wire of radius a . Find the magnetic field inside and outside the wire if (a) the current is uniformly distributed over the outside surface of the wire, and (b) the current is distributed in such a way that J is proportional to s , the distance from the axis. a d q v R I I P I a a s I...
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