Question

Problem 4: MRI Superconductivity In MRI machines, a very strong, and very spatially uniform magnetic field is needed to be able to image the body. The electromagnet generating the current that creates the magnetic field takes advantage of an exotic physics phenomenon known as superconductivity, where extremely high currents can be passed through materials with exactly zero resistance. However, superconductivity was a pretty recent discovery (~1970s or '80s) -- without superconductivity, MRI machines become extremely expensive to operate due to the cost of electricity. In this problem, we'll explore that, by considering what it takes to run an MRI machine on 'normal' conductivity materials. a) A typical clinical MRI creates a 1.5 Tesla magnetic field (very strong!). To image an entire body, the solenoid (coil of wires) should be about 1 meter in diameter, and 2 meters in length (that way a typical human body can fit into the solenoid, and with some space to spare to avoid claustrophobia). If the thickest copper wire you can buy is #6 gauge, how many loops wire do you need to cover the whole 2 meter length?

          Problem 4: MRI Superconductivity
In MRI machines, a *very* strong, and very spatially uniform magnetic field is needed to
be able to image the body. The electromagnet generating the current that creates the
magnetic field takes advantage of an exotic physics phenomenon known as
superconductivity, where extremely high currents can be passed through materials with
exactly zero resistance. However, superconductivity was a pretty recent discovery
(~1970s or '80s) -- without superconductivity, MRI machines become extremely
expensive to operate due to the cost of electricity. In this problem, we'll explore that, by
considering what it takes to run an MRI machine on 'normal' conductivity materials.
a) A typical clinical MRI creates a 1.5 Tesla magnetic field (very strong!). To image
an entire body, the solenoid (coil of wires) should be about 1 meter in diameter,
and 2 meters in length (that way a typical human body can fit into the solenoid,
and with some space to spare to avoid claustrophobia). If the thickest copper wire
you can buy is #6 gauge, how many loops wire do you need to cover the whole
2 meter length?

Problem 4: MRI Superconductivity
In MRI machines, a *very* strong, and very spatially uniform magnetic field is needed to
be able to image the body. The electromagnet generating the current that creates the
magnetic field takes advantage of an exotic physics phenomenon known as
superconductivity, where extremely high currents can be passed through materials with
exactly zero resistance. However, superconductivity was a pretty recent discovery
( 1970s or '80s) – without superconductivity, MRI machines become extremely
expensive to operate due to the cost of electricity. In this problem, we'll explore that, by
considering what it takes to run an MRI machine on 'normal' conductivity materials.
a) A typical clinical MRI creates a 1.5 Tesla magnetic field (very strong!). To image
an entire body, the solenoid (coil of wires) should be about 1 meter in diameter,
and 2 meters in length (that way a typical human body can fit into the solenoid,
and with some space to spare to avoid claustrophobia). If the thickest copper wire
you can buy is #6 gauge, how many loops wire do you need to cover the whole
2 meter length?

Added by Taylor S.

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