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# ps1 - EE/BIOE 497E Problem 1(30 points PROBLEM SET 1 DUE 24...

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EE/BIOE 497E PROBLEM SET 1 DUE: 24 March 2008 Problem 1: (30 points) A 1 ml vial filled with distilled water at room temperature (295 K) is placed in a 7 Tesla magnetic field. 1. (10 points) Determine the total number of protons N in the sample, the number of protons N p that align parallel to the static field, and the number of protons N a that align anti-parallel to the static field. 2. (10 points) Determine the bulk equilibrium magnetization, M o , and express your answer in units of A/m . 3. (10 points) Suppose that the thermal equilibrium magnetization is rotated by 90 degrees in response to a radio-frequency (RF) pulse. The resulting free-induction decay is observed with a one-turn loop of wire whose diameter is 1 cm. The plane containing the circular loop is parallel to the direction of the static field and the sample is sample is centered within the loop. What is the peak open-circuit voltage observed at the terminals of the loop?

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ps1 - EE/BIOE 497E Problem 1(30 points PROBLEM SET 1 DUE 24...

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