During your biking tour of the Pacific Northwest, you decide tooutdo those latte
ID: 1674165 • Letter: D
Question
During your biking tour of the Pacific Northwest, you decide tooutdo those latte-guzzling ecotopians at their own game. Instead ofthe four toxic and disposable 1.5-volt batteries suggested for yourwalkabout CD player, you will place a 2.0 m conducting wandacross your handlebars. Pedaling furiously in a directionperpendicular to the local magnetic field, you wish to go fastenough to induce a potential difference of 6.0 V (equivalentto four batteries in series). (a) The strength of the Earth'smagnetic field at your location is 5.0×105 T. Howfast will you need to go? (b) Is this speed street-legal? (c) Themagnetic declination at your location is 19°. At what anglefrom geographic north should you travel to maximize the potentialdifference of your environment-friendly arrangement?Explanation / Answer
L = 2 m = 6 V (a) B = 5 x 10-5 T When v and B are perpendicular: = B L v v = /BL (b) You'll find this is quite a bit greater than "streetlegal." (c) = 19 degrees Again, to maximize the potential difference, v and B must beperpendicular. If you draw a diagram and do a littlegeometry, you'll find the angle from north is just the complementof : 90-19 = 71 degrees
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