A long solenoid filled with ferromagnetic material of permeability μ = 1480μ0 is wound with wire so that there are 15 turns per cm. What current must flow through the wire to produce a magnetic field of 0.16 T within the solenoid?
________ A
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Verified answer
Using Ampere's Law we have
B L = μ Ienc = μ N Io
solving for Io
Io = B L / (μ N) = 0.16/(1480*4*pi()*1E-7*1500) = 0.0573 A
where I used 1500 turns/meter to keep units in SI.