The magnetic field produced by the solenoid in a magnetic resonance imaging (MRI

Question

The magnetic field produced by the solenoid in a magnetic resonance imaging (MRI) system designed for measurements on whole human bodies has a field strength of 6.0 T, and the current in the solenoid is 1.5 times 10^2 A. What is the number of turns per meter of length of the solenoid? Note that the solenoid used to produce the magnetic field in this type of system has a length that is not very long compared to its diameter. Because of this and other design considerations, your answer will be only an approximation turns/m

Explanation / Answer

B = (u0) (n) (I) where, n = number of turns per meter of length of the solenoid
n = B/ ((u0)I)

n = (6.0/ [(4 (10^-7) (150 A)]

n = 31830.98 = 31831 turns/m

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