Exam 3 solutions

# Exam 3 solutions - HPHY 253.02 Exam 03(take-home Spring...

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HPHY 253.02 Exam 03 (take-home) Spring Semester 2009 Dr. A. E. Bak Name Instructions. For each question, show all work leading to an answer and simplify as much as possible. 31 : 18 . A toroid, having a rectangular cross-section ( a = 2 : 00 cm by b = 3 : 00 cm ) and inner radius R = 4 : 00 cm , consists of 500 turns of wire that carries a sinusoidal current i = I max sin !t , where I max = 50 : 0 A and f = != (2 ) = 60 : 0 Hz . A rectangular coil consisting of 20 turns of wire links with the toroid as shown in Figure P 31 : 18 . Determine the emf induced in the rectangular coil. 31 : 56 . A conducting rod of length moves with velocity v in a direction perpendicular to a long, straight wire carrying a steady current I . The axis of the rod is maintained parallel to the wire as shown in Figure P 31 : 56 . Show that jEj = ± 0 I‘v 2 is the magnitude of the emf induced in the rod. In this case, note that the emf decreases with increasing r as you might expect.

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## This note was uploaded on 05/01/2011 for the course HPHY 253 taught by Professor Bak during the Spring '09 term at Morehouse.

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Exam 3 solutions - HPHY 253.02 Exam 03(take-home Spring...

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