energy in a magnatic field Energy in a magnetic field A clinical MRI (magnetic r
ID: 2136645 • Letter: E
Question
energy in a magnatic field
Energy in a magnetic field A clinical MRI (magnetic resonance imaging) superconducting magnet can have a field of up to a few tesla. Let's approximate the MRI magnet as a solenoid with a diameter of 0.90 m, a length of 1.40 m, and a uniform magnetic field of 2.50 T. What is the energy density of the magnetic field inside the magnet, with proper units? What is the total energy contained in the magnetic field within the solenoid? That's a lot of energy! When shutting down the magnet, if you could convert all that energy to mechanical work with 100% efficiency, how high could you lift a 1000. kg load of bricks?Explanation / Answer
a)
then the radius of the magnet, r = 0.45 m
the length of the magnet, L = 1.4 m
the uniform magnet field, B = 2.5 T
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