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magnetic field gradient?

Question 1:

a.    What is a magnetic field gradient?
b.    How is the magnetic field gradient used to achieve frequency encoding of the echo?

Question 2:

a.    Describe the Nyquist theorem
Question 3
a.    Describe how images with proton density, T1 and T2 contrast are acquired with spin echo pulse sequences with respect to TE and TR.
a.    Give two examples of how we can make better use of the TR time period with the spin echo pulse sequence. Briefly explain each.
Question 4:

a.    Describe how proton density (PD), T1, T2* and T1+T2 contrast are acquired with a gradient echo based imaging sequence in terms of a-pulse, TE, TR and any other additional gradients.

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