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# Koofer - Name Physics 270 D Papadopoulos Spring 2009 March...

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Name:_______________________________ Physics 270 Spring 2009 D. Papadopoulos March 2, 2009 1 st Midtern Problem 1 (15) A wire of the shape shown in the figure carries a current I. What is the magnetic field including direction of the semicircle arising from (a) each straight segment of length ? (b) the semicircular segment of length π r? (c) the entire wire? [Explain your answers using the appropriate formulas. Express your results in terms of I, r and .] Key equation 2 ˆ ( ) 4 o I s r B r r   r r r (a) Any part s r of each of the straight segments is parallel to the vector that connects it to the center of the semi-circle. As a result the magnetic field generated at the center of the semicircle by the straight segments is zero. (b) 2 2 2 0 ˆ ˆ ˆ ( ) ( ) ( ) 4 4 ˆ ˆ ( 0) 4 4 o o z o o z z I s e r I s e B r r r Ir I B r e d e r r r r (c) The same as above 1

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Name: Problem 2 (20) As shown in the sketch, a wire moves with a velocity v while resting on two rails.
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Koofer - Name Physics 270 D Papadopoulos Spring 2009 March...

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