An MR imаger uses а stаtic magnetic field оf strength 2.200 000 T. The resulting frequency оf precessiоn at isocenter is 93.676 000 MHz. A magnetic gradient of 19.0 mT/m is applied along the axial direction. The gradient is applied so that the field increases towards the head and decreases towards the feet relative to isocenter. a) Calculate the strength of the total magnetic field at a point located 23.0 cm from isocenter and towards the feet. Express your answer to six decimal places. b) Calculate the corresponding frequency of precession in MHz at the point specified in part a). Express your answer to six decimal places. c) Calculate the location along the axial direction where the (actual) frequency of precession of a proton would be equal to 93.797 000 MHz. Express your answer to the nearest mm. d) An RF pulse is used to excite a 5.00 mm thick slice centred at the isocenter. Calculate the transmit bandwidth required for the RF pulse. Express your answer in kHz. e) Assume that the shape of the RF pulse from part d) in time is a sinc function. At what time(s) would the first three zeros of the sinc function occur?