M MRI Scanner Cutaway MRI (magnetic resonance imaging) is a medical technique that produces detailed "pictures" of the interior of the body. The patient is placed into a Patient Radio Frequency Coil solenoid that is 40cm in diameter and 1.0m long. A 100A current creates a Patient Table 5.0T magnetic field inside the solenoid. To carry such a large current, the Gradient Cols solenoid wires are cooled with liquid helium until they become Magnet superconducting (no electric resistance). Scanner а. How much magnetic energy is stored in the magnetic field of the solenoid? b. Assume that the magnetic field is uniform within the solenoid and zero outside the solenoid (an ideal solenoid). How many turns of wire does the solenoid have? с. An MRI machine needs to detect signals that oscillate at very high frequencies. It does so with an LC circuit containing a 15mH inductor. To what value should the capacitance be set for the LC circuit to detect (strongly oscillate at) a 450 MHz signal?
M MRI Scanner Cutaway MRI (magnetic resonance imaging) is a medical technique that produces detailed "pictures" of the interior of the body. The patient is placed into a Patient Radio Frequency Coil solenoid that is 40cm in diameter and 1.0m long. A 100A current creates a Patient Table 5.0T magnetic field inside the solenoid. To carry such a large current, the Gradient Cols solenoid wires are cooled with liquid helium until they become Magnet superconducting (no electric resistance). Scanner а. How much magnetic energy is stored in the magnetic field of the solenoid? b. Assume that the magnetic field is uniform within the solenoid and zero outside the solenoid (an ideal solenoid). How many turns of wire does the solenoid have? с. An MRI machine needs to detect signals that oscillate at very high frequencies. It does so with an LC circuit containing a 15mH inductor. To what value should the capacitance be set for the LC circuit to detect (strongly oscillate at) a 450 MHz signal?
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MRI Scanner Cutaway
MRI (magnetic resonance imaging) is a medical technique that produces
Radio
Patient
detailed "pictures" of the interior of the body. The patient is placed into a
Frequency-
Col
solenoid that is 40cm in diameter and 1.0m long. A 100A current creates a
5.0T magnetic field inside the solenoid. To carry such a large current, the
Patient
Table
Gradient
Coils
solenoid wires are cooled with liquid helium until they become
Magnet
superconducting (no electric resistance).
Scanner
a. How much magnetic energy is stored
the magnetic field of the
solenoid?
b. Assume that the magnetic field is uniform within the solenoid and zero outside the solenoid (an ideal
solenoid). How many turns of wire does the solenoid have?
с.
An MRI machine needs to detect signals that oscillate at very high frequencies. It does so with an LC
circuit containing a 15mH inductor. To what value should the capacitance be set for the LC circuit to
detect (strongly oscillate at) a 450 MHz signal?
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