# ampere_s_law - enc i r B 2 r i B enc 2 2 2 1 2 2 1 2 1 1 a...

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Ampere’s Law Given: F i n d : cm a 2 ? 1 A i 38 . 0 1 ? 1 @ B ? 3 @ cm b 4 B A i 12 . 0 2 ? 8 @ B ? 2 i An infinite cylindrical conductor of radius a = 2 cm carries a current I 1 = 0.38 A out of the page. A coaxial, infinite, thin cylindrical conducting shell of radius b = 4 cm carries a current I 2 = 0.12 A, into the page. The current densities in each conductor are uniform. e? (a) Calculate the magnitude of the current density in the inner conductor. (b) Calculate the magnitude of the net magnetic field at r = 1 cm. (c) Calculate the magnitude of the net magnetic field at r = 3 cm. (d) Calculate the magnitude of the net magnetic field at r = 8 cm. (e) With I 1 fixed at 0.38 A, what value of I 2 should be chosen to make the net magnetic field in the region r > b equal to zero everywher Solutions a.) To find 1 we can use the following formula: 2 R i A i 2 1 1 a i b.) To find we can use the following formula: 1 @ B enc i s d B 0 enc i ds B 0 

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Unformatted text preview: enc i r B 2 r i B enc 2 2 2 1 2 2 1 2 1 1 a r i r a i r A i enc 2 1 2 2 1 2 2 1 1 @ 2 2 2 2 a r i ra r i r a r i r i B enc 2 1 1 @ 2 a r i B c.) To find we can use the following formula: 3 @ B 1 i i enc r i r i B enc 2 2 1 3 @ r i B 2 1 3 @ d.) To find we can use the following formula: 8 @ B 2 1 i i i enc r i i r i B enc 2 2 2 1 8 @ r i i B 2 2 1 8 @ e.) To fi we can use the following formula: nd 2 i enc i s d B For we need since B enc i ds or 2 1 i i i enc 1 2 i i...
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ampere_s_law - enc i r B 2 r i B enc 2 2 2 1 2 2 1 2 1 1 a...

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