MRI (magnetic resonance imaging) is a medical technique that produces detailed "pictures" of the interior of the body. The patient is placed into a 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 solenoid wires are cooled with liquid helium until they become superconducting (no electric resistance). a. 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? c. 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?
MRI (magnetic resonance imaging) is a medical technique that produces detailed "pictures" of the interior of the body. The patient is placed into a 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 solenoid wires are cooled with liquid helium until they become superconducting (no electric resistance). a. 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? c. 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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