PS08-1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2008 Label with your name, table number and group. Turn in at the homework box. Problem Set 8 Due: Thursday, October 30that 12:00 pm Warm UpProblem 1: Charges in a Uniform Field An electron with velocity ˆˆxyvv+ijmoves through a uniform magnetic field ˆˆxyBB+ij(a)Find the magnitude of the force on the electron. (b)Repeat your calculation for a proton having the same velocity. Problem 2: Power Line A horizontal power line carries a current of Ifrom south to north. Earth's magnetic field (BEarth= 62.1 μT) is directed toward the north and is inclined downward at an angle θto the horizontal. Find the magnitude of the magnetic force on a length Lof the line due to Earth's field. Please also calculate a value numerically for I= 2000 A, θ= 73.0º and L= 100 m, since it’s useful to think about real world numbers. Problem 3: Triangular Loop A current loop, carrying a current I, is in the shape of a right triangle with sides 3, 4, and 5 cm. The loop is in a uniform magnetic field Bwhose direction is parallel to the current in the 5 cm side of the loop. Find the magnitude of (a)the magnetic dipole moment of the loop in amperes-square meters; and (b)the torque on the loop.
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