Figure below shows two current segments. The lower segmentcarries current i1 = 0
ID: 1730009 • Letter: F
Question
Figure below shows two current segments. The lower segmentcarries current i1 = 0.40 A and includes acircular arc with radius 5.0 cm, angle 180 degree, and centerpoint P. The upper segment carries currenti2 = 2i1 and includes acircular arc with radius 4.0 cm, angle 120 degree, and the samecenter point P. What are the (a)magnitude and (b) direction (into the page - show''1'', otherwise - ''0'') of the net magnetic field for the indicated current directions? What are the(c) magnitude and (d) direction(into the page - show ''1'', otherwise - ''0'') of if i1 is reversed?Explanation / Answer
(a) from the theory we can see that the radialsigments do not contribute to Bp and the arc segments contribute according to theequation B = o i / 4 R if k^ designates the direction out of the pagethen we get that B = [o (0.40 A) ( rad)/ 4 (0.050 m)] k^ - [o (0.80 A) (2 / 3 rad) / 4 (0.040 m)] k^ = ......... T (b) the direction is -k^ or into the page (c) in this case B = - [o (0.40 A) ( rad)/ 4 (0.050 m)] k^ - [o (0.80 A) (2 / 3 rad) / 4 (0.040 m)] k^ = ......... T (d) the direction is -k^ or into the page
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