HW2-2 - enc i s d B enc i s d B enc i r B 2 r i B enc 2 2 2...

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Coaxial Cylindrical Conductors Given: F i n d : cm a 2 ? x B A i 2 . 1 1 cm b 4 cm c 6 A i 4 . 2 2 cm r 5 30 Two very long coaxial cylindrical conductors are shown in cross-section above. The inner cylinder has radius a = 2 cm and caries a total current of I 1 = 1.2 A in the positive z-direction (pointing out of the screen). The outer cylinder has an inner radius b = 4 cm, outer radius c = 6 cm and carries a current of I 2 = 2.4 A in the negative z-direction (pointing into the screen). You may assume that the current is uniformly distributed over the cross-sectional area of the conductors. What is B x , the x-component of the magnetic field at point P which is located at a distance r = 5 cm from the origin and makes an angle of 30 o with the x-axis? Solutions a.) To find x B we can use the following formula:
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Unformatted text preview: enc i s d B enc i s d B enc i r B 2 r i B enc 2 2 2 2 b c i 2 2 2 2 2 2 2 2 2 2 2 2 b c b r i b r b c i b r i 2 2 2 2 2 1 1 b c b r i i i i i enc 2 2 2 2 2 1 2 2 b c b r i i r r i B enc sin 2 sin 2 2 2 2 2 1 b c b r i i r B B x sin 2 2 2 2 2 2 1 b c b r i i r B x Click here for fast calculation...
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HW2-2 - enc i s d B enc i s d B enc i r B 2 r i B enc 2 2 2...

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