A solid cylinder of radius R=5.00mm carries a uniform current density of 1.50*10^6 A/m2. What is...
A solid cylinder of radius R=5.00mm carries a uniform current density of 1.50*10^6 A/m2. What is the magnitude of the magnetic field at a distance R/2 from the center axis of the cylinder? The answer is 2.36mT but can you show me the work involved? Thanks
Homework Answers
r = distance from the center = R/2 = 5/2 = 2.5 mm = 2.5 x 10-3 m
= Current
density = 1.50 x 106 A/m2
Using ampere's circuital law
B (2
r) = 
(r2)
B (2) = (r)
B (2) = (12.56 x 10-7) (2.5 x 10-3) (1.50 x 106)
B = 2.36 x 10-3 T
B = 2.36 mT
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