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In this problem, we answer the question: What is the tip angle that maximizes MR signal intensity for a pulse sequence with given TR and TE values? Solve this problem for given T1, T2, and T∗ 2 values. Assume that the magnetization is in the steady-state condition, that is, the magnetization is a periodic function of time with a period of TR. Also assume that the transverse magnetization completely dephases before each RF pulse, that is, Mxy(0) = 0.

(a) Calculate MZ(0), the steady-state magnetization value just before the RF pulses.

(b) Calculate Mxy(TE), the signal level in the steady-state condition.

(c) Calculate the optimum tip angle.

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