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ps08 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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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 30 th at 12:00 pm Warm Up Problem 1: Charges in a Uniform Field An electron with velocity ˆ ˆ x y v v + i j moves through a uniform magnetic field ˆ ˆ x y B B + i j (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 I from south to north. Earth's magnetic field ( B Earth = 62.1 μT) is directed toward the north and is inclined downward at an angle θ to the horizontal. Find the magnitude of the magnetic force on a length L of 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 B whose 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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