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3) The very first magnetic resonance imaging (MRI) devices employed multi-layer copper solenoids, like the one...

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Physics

3) The very first magnetic resonance imaging (MRI) devicesemployed multi-layer copper solenoids, like the one shown in thefigure below. The solenoid dimensions were: length = 2 m and innerradius = 0.4 m. The required magnetic field was 0.3 T. Due tothermal considerations, the copper wire conductor was chosen tohave a square cross-section, 10 mm×10 mm, which limited the maximumcurrent in the conductor to 1,000 A.

A) What is the minimum number of solenoid layers needed toachieve the required magnetic field? Assume that the conductor ineach layer is tightly wound on a cylinder, without any gaps.

B) For the chosen number of layers and using the copperresistivity value at room temperature, estimate the electricalpower consumption of this solenoid at 0.3 T.

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