ps08

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 ˆˆ xy vv + i j moves through a uniform magnetic field 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, = 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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PS08-2 Exam Question Problem 4 A charge of mass m and charge q > 0 is at the origin at t = 0 and moving upward with velocity ˆ V = V j G . Its subsequent trajectory is shown in the sketch. The magnitude of the velocity V = V G is always the same, although the direction of V G changes in time. (a) For y > 0 , this positive charge is moving in a constant magnetic field which is either into the page or out of the page. Which is it? Into the Page Out of the Page (b) Derive an expression for the magnitude of the magnetic field for y > 0 . (c) For y < 0 , the charge is moving in a different constant magnetic field. What is that magnetic field (magnitude and direction)? (d) How long does it take the charge to move from the origin to point P (see sketch) along the x-axis? Give your answer in terms of the given quantities. (e) When viewed over many orbits, it appears that the charge moves along the positive x- axis with some average speed. What is the charge’s average speed in the x- direction?
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PS08-3 Analytic Problems… Problem 5: Carbon Dating
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This note was uploaded on 02/22/2009 for the course 8 02 taught by Professor Sciolla during the Fall '08 term at MIT.

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ps08 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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