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 5.81 T, and the current in the solenoid is 3.79 × 102 A. What is the number of turns per meter of length of the solenoid?

Answer 1

n = 1.22 10⁴ turns/m

Step-by-step explanation:

The magnetic field in a solenoid is proportional to the intensity of the current, the number of turns per unit length (n) and the magnetic permeability (myo), is described by the equation

B = μ₀ n I

Let's clear the density of turns

n = B / (μ₀ I)

Let's replace and calculate

n = 5.81 / (4pi 10-7 3.79 102)

n = 5.81 105 / 47.63

n = 1.22 10⁴ turns / m