P31_016 - 16. (a) Since B = B uniformly, then only the area...

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16. (a) Since ~ B = B ˆ i uniformly, then only the area “projected” onto the yz plane will contribute to the flux (due to the scalar [dot] product). This “projected” area corresponds to one-fourth of a circle. Thus, the magnetic flux Φ B through the loop is Φ B = Z ~ B · d ~ A = 1 4 πr 2 B. Thus, |E| = ¯ ¯ ¯ ¯ d Φ B dt ¯ ¯ ¯ ¯ = ¯ ¯ ¯ ¯ d dt µ 1 4 πr 2 B ¶ ¯
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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